The demand function for a particular pair of sunglasses is p - 165 - 0.0859 (a) If the sunglasses are priced at $65, how many pairs can be sold? (Round your answer to the nearest Integer.) 1176 pairs (b) Compute the elasticity of demand when the sunglasses are priced at $65. (Round your answer to two decimal places.) х 9.3 At this price, is the demand elastic or inelastic? The demand is elastic. The demand is inelastic.
Answers
Based on the given demand function for the pair of sunglasses, if they are priced at $65, the number of pairs that can be sold can be calculated as follows:
p = 65
Q = (p - 165) / (-0.0859)
Q = (65 - 165) / (-0.0859)
Q ≈ 11,760
Therefore, approximately 1176 pairs can be sold when the sunglasses are priced at $65.
To compute the elasticity of demand at this price point, we can use the formula:
E = (% change in quantity demanded) / (% change in price)
Since the price is fixed at $65, the % change in price is zero. To calculate the % change in quantity demanded, we can use the midpoint method:
% change in quantity demanded = (Q2 - Q1) / [(Q1 + Q2) / 2] * 100%
Let's assume that the price of the sunglasses increases from $65 to $66. Using the demand function, we can calculate the new quantity demanded:
p = 66
Q = (p - 165) / (-0.0859)
Q ≈ 11,640
Using the midpoint method, the % change in quantity demanded can be calculated as follows:
% change in quantity demanded = (11,640 - 11,760) / [(11,760 + 11,640) / 2] * 100%
% change in quantity demanded ≈ -1.02%
Now we can compute the elasticity of demand:
E = (-1.02%) / (1%) * 100%
E ≈ -1.02
Since the elasticity of demand is negative, we can conclude that the demand for sunglasses is elastic at this price point. This means that a small increase in price will result in a relatively large decrease in the quantity demanded.
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Related Questions
Waht number is 120% of 140
Answers
Answer:
x:b116.67
Step-by-step explanation:
120/100
140×100/120
A pet store has 20 female kittens and 12 male kittens. What is the ratio of males to females in simplest form? I NEED HELP ASAP
Answers
Answer:
20;12
Step-by-step explanation:
I Don't know for sure but i hope it helps <3
Answer:
it is 12:20
Step-by-step explanation:
also can I have brainliest?
Suppose ACT Mathematics scores are normally distributed with a mean of 21.321.3 and a standard deviation of 5.35.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition
Answers
The minimum score required for a letter of recognition is approximately 28.1 (rounded to one decimal place).
The minimal rating required for a letter of recognition, we want to locate the rating that corresponds to the pinnacle 11% of the distribution.
The z-score that corresponds to the pinnacle 11% of the distribution.
A trendy everyday distribution desk or calculator to discover this value:
P(Z > z) = 0.11
From the table, we discover that the z-score that corresponds to a cumulative likelihood of 0.11 is about 1.22.
Next, we can use the formulation for standardizing a score:
z = (x - μ) / σ
Rearranging this formula, we can remedy for x:
x = z × σ + μ
Substituting the values given in the problem, we get:
x = 1.22 × 5.3 + 21.3
x = 28.066
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Five digit numbers by two digit numbers needs to show work please help !!!
Answers
629856
Step-by-step explanation:
first do 1 time 7776 then when you get that answer make another row and do a 0 at the ent then do 8 times 7776
students in mrs. barnes class determined the probability that she will check homework on a randomly chosen day is 0.42. they also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9. the probabilities are displayed in the tree diagram. a tree diagram. random day goes to checks homework and does not check homework. the arrow to checks homework is 0.42, and does not check homework is 0.58. checks homework to pop quiz, 0.60; checks homework to no pop quiz, 0.40. does not check homework to pop quiz, 0.90; does not check homework to no pop quiz, 0.10. what is the probability that the students will have a pop quiz on a randomly selected day? 0.25 0.52 0.77 0.90
Answers
The probability that the students will have a pop quiz on a randomly selected day 0.77
Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.
They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.
Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be
P= 0.42*0.60 + 0.58*0.90
P = 0.252 + 0.522
P = 0.774
P ≈ 0.77
The probability that the students will have a pop quiz on a randomly selected day 0.77
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Try It #1
Find the domain of the function: {(−5, 4), (0, 0), (5, −4), (10, −8), (15, −12)}
Answers
Therefore, the domain of the function is {-5, 0, 5, 10, 15}.
To find the domain of a function, we need to identify all the x-values for which the function is defined. In this case, the given function has five points: (-5, 4), (0, 0), (5, -4), (10, -8), and (15, -12). The x-values of these points represent the domain of the function.
The domain of the function is the set of all x-values for which the function is defined. By looking at the given points, we can see that the x-values are -5, 0, 5, 10, and 15.
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With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is accepted if every item in the sample is okay. The ABCD Electronics Company has just manufactured 6500 write-rewrite CDs, and 170 are defective. If 6 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted
Answers
The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.
To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.
Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.
Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.
The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.
Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:
P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)
where C(n, r) represents the number of combinations of selecting r items from a set of n items.
Evaluating this expression, we find:
P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859
Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.
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Find the area of a regular pentagon
with a side length of 10 cm. Round to
the nearest tenth.
10 cm
[? ] cm2
![Find the area of a regular pentagonwith a side length of 10 cm. Round tothe nearest tenth.10 cm[? ] cm2](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/nuhgkK1oTI2amMOiZ52DgkMbqw7gtrlj.png)
Answers
Step-by-step explanation:
here~~~~~~~~~~~~~~~~~~~~~~~
![Find the area of a regular pentagonwith a side length of 10 cm. Round tothe nearest tenth.10 cm[? ] cm2](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/gjUGULd8buRsN9qSgQql5FH82zH356Lc.jpeg)
Calculate the matrix exponential Consider the 2 x 2 matrix A= [\begin{array}{cc}1&1\\1&2\end{array}\right]
Compute the matrix exponential e A. You may use a calculator.
Answers
The matrix exponential is e^A = [\begin{array{cc}1.618&-0.618\1&1\end {array} \right
To calculate the matrix exponential of A, we first need to find the eigenvalues and eigenvectors of A.
The characteristic polynomial of A is:
det(A - λI) = [\begin{array}{cc}1-\lambda&1\1&2-\lambda\end{array}\right] = (1-λ)(2-λ) - 1 = λ^2 - 3λ + 1
Using the quadratic formula, we find the eigenvalues of A:
λ1 = (3 + sqrt(5))/2
λ2 = (3 - sqrt(5))/2
Next, we find the eigenvectors of A corresponding to each eigenvalue. For λ1, we have:
(A - λ1I)x = 0
Solving this system of equations, we find that the eigenvector corresponding to λ1 is:
v1 = [\begin{array}{c}1.618\1\end{array}\right]
For λ2, we have:
(A - λ2I)x = 0
Solving this system of equations, we find that the eigenvector corresponding to λ2 is:
v2 = [\begin{array}{c}-0.618\1\end{array}\right]
Since A has two linearly independent eigenvectors, we can diagonalize A as: A = PDP^-1
where P is the matrix whose columns are the eigenvectors of A, and D is the diagonal matrix whose entries are the eigenvalues of A:
P = [\begin{array}{cc}1.618&-0.618\1&1\end{array}\right]
Now we can compute the matrix exponential of A as:
e^A = Pe^D P^-1
where e^D is the diagonal matrix whose entries are the exponential of the corresponding diagonal entries of D:
e^D = [\begin{array}{cc}e^λ1&0\0&e^λ2\end{array}\right]
Using a calculator, we can compute:
e^(λ1) = 4.555
e^(λ2) = 0.455
Therefore: e^D = [\begin{array}{cc}4.555&0\0&0.455\end{array}\right]
Finally, we have: e^A = [\begin{array}{cc}1.618&-0.618\1&1\end{array}\right
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Help please! Math Homework
Answers
Answer:
A and B
Step-by-step explanation:
A and b both equal 36
Heyy can someone help, work out the estimate mean lentgh of time, would appreciate if someone sent a pic of their working or explained it detail, thanks
Answers
The estimate for the mean length of time the students spent dancing is 27 minutes.
To estimate the mean length of time the students spent dancing, we need to calculate the midpoint of each interval, multiply it by the corresponding frequency, and then sum up the products.
Finally, we divide the sum by the total frequency.
Let's calculate the estimates:
Midpoint of the first interval (0 < m ≤ 12):
Midpoint = (0 + 12) / 2 = 6
Frequency = 11
Product = 6 x 11 = 66
Midpoint of the second interval (12 < m ≤ 24):
Midpoint = (12 + 24) / 2 = 18
Frequency = 25
Product = 18 x 25 = 450
Midpoint of the third interval (24 < m ≤ 36):
Midpoint = (24 + 36) / 2 = 30
Frequency = 23
Product = 30 x 23 = 690
Midpoint of the fourth interval (36 < m ≤ 48):
Midpoint = (36 + 48) / 2 = 42
Frequency = 15
Product = 42 x 15 = 630
Midpoint of the fifth interval (48 < m ≤ 60):
Midpoint = (48 + 60) / 2 = 54
Frequency = 6
Product = 54 x 6 = 324
Now, let's sum up the products:
Sum of Products = 66 + 450 + 690 + 630 + 324 = 2160
Finally, let's calculate the estimate for the mean:
Total Frequency = 11 + 25 + 23 + 15 + 6 = 80
Mean = Sum of Products / Total Frequency = 2160 / 80 = 27
Therefore, the estimate for the mean length of time the students spent dancing is 27 minutes.
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THIS IS A TEST!!!
HOW DO YOU SOLVE FOR X?
If you get this right, or you give an explanation. ill mark you as blranliest.
Answers
Answer:
\(x = \frac{9}{5} \)
Step-by-step explanation:
\( - 7( - 7 \times ( - x - 1)) = 6 (- \times ( - 2x - 3))\)
\( - 7 + 7x + 7 = 6 + 2x + 3\)
\(7x - 2x = 6 + 3 + 7 - 7\)
\(5x = 9\)
\( \frac{5x}{5} = \frac{9}{5} \)
\(x = \frac{9}{5} \)
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
0.96% or 1% to the nearest whole ( use the whole as for your answer )
Step-by-step explanation:
825-817 = 8
8 / 825 = 0.00969696....
x 100 = 0.96%
A recipe for trail mix calls for a ratio of 2 cups of dried fruit to 3 cups of mixed nuts complete the ratio to show possible quantities of the fruit mixed nuts and trail mix . For the ratio and problem for how many cups of mixed nuts are needed to make trail mix if 38 cups of dried fruit is used ?
Answers
The product of two consecutive integers is 72. the equation x(x 1) = 72 represents the situation, where x represents the smaller integer. which equation can be factored and solved for the smaller integer? x2 x – 72 = 0 x2 x 72 = 0 x2 2x – 72 = 0 x2 2x 72 = 0
Answers
The equation that can be factored and solved for the samller integer is x² + x - 72 = 0
How to form an equation?The product of two consecutive integers is 72. The equation that represents the situation is as follows:
x(x + 1) = 72
where
x = smaller numberTherefore,
x(x + 1) = 72
x² + x = 72
x² + x - 72 = 0
Therefore, the equation that can be factored and solved for the samller integer is x² + x - 72 = 0
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. What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answers
Answer:
12
Step-by-step explanation:
1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.
To this, simply divide 48 by 4.
48/4=12
Thus, your answer is 12
Answer: 12
Step-by-step explanation:
1+3+4+6+6+8+9+11 is 48 (you can double check)
48=4*X (calling x as the smiley).
Divide 4 by each side.
12=X
Amanda wants to buy books for tenth grade students. Each book costs $4, and
she wants to spend less than $1000. Write an inequality that represents the
number of books she can purchase with $1000. Here, x represents the number
of books.
Answers
Answer:
4x<1000
Step-by-step explanation:
Since each book costs $4, and Amanda wants to spend less than $1,000, the inequality is 4x<1000.
Who has the best conclusion?A.Joe said the average grade was a 75.B.Collin said almost 15% made between a 91 and a 100.C.Paulina said most of the class made between a 71 and a 80.D.Quannah said that most of the students understood the concepts that were not tested.
Answers
Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
What is the average?
This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.
To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:
A. Joe said the average grade was a 75.
Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.
B. Collin said almost 15% made between a 91 and a 100.
Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.
C. Paulina said most of the class made between a 71 and an 80.
Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.
D. Quannah said that most of the students understood the concepts that were not tested.
The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.
hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.
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AABC ADEC. What is the length of segment BE?
Answers
Based on the triangle proportionality theorem, the length of segment BE is: 9 units.
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that if a triangle's two side are connected by a segment that is parallel to the third side, the two sides are divided proportionally.
From the image given, line segment DE is parallel to the third side AB. This means line segment DE divides the two sides it joins proportionally.
Given:
DC = 8 units
EC = 4 units
BE = x units
AC = 26 units
Therefore, based on the triangle proportionality theorem, we have:
DC/AD = EC/BE
Substitute:
8/(26 - 8) = 4/x
8 / 18 = 4 / x
Cross multiply:
8x = 72
Divide both sides by 8
x = 72/8
x = 9
Length of segment BE = 9 units.
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Solve the equation for x in terms of c.
2/3 (cx + 1/2) - 1/4 = 5/2 \(\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}\)
A.) x = 9/4c \(\frac{9}{4c}\)
B.) x = 27/8c \(\frac{27}{8c}\)
C.) x= 29/18c \(\frac{29}{18c}\)
D.) x = 29/8c \(\frac{29}{8c}\)
Answers
Answer:
D
Step-by-step explanation:
Simplify and rearrange to solve.
2/3 (cx + 1/2) - 1/4 = 5/2
2/3 (cx + 1/2) = 5/2 + 1/4
2/3 (cx + 1/2) = 11/4
cx + 1/2 = 11/4 divided by 2/3
cx + 1/2 = 33/8
cx = 33/8 - 1/2 = 29/8
x= 29 / 8 divided by x = 29/8c.
Hope this helps.
The answer is D.) 29/8c
the prove and how to work it
![Solve the equation for x in terms of c. 2/3 (cx + 1/2) - 1/4 = 5/2 [tex]\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}[/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/65mLFlgqXsVlnlCMG5TFv7tNmgz4fBYp.png)
find the sum of -3x square- 4x +3 and 2x square -x +3
Answers
Answer:
−x²−4x+3−x+3
Subtract x from −4x.
−x²−5x+6
Step-by-step explanation:
Ezra has 2 stuffed animals. Each stuffed animal has a mass of 330 grams. What is the total mass of both stuffed animals in milligrams?
Answers
Answer: 660,000 milligrams
Step-by-step explanation:
330 x 2 = 660
convert grams to milligrams by multiplying the mass by 1,000
Answer:
660,000
Step-by-step explanation:
hope this helps!
Kegler bowling buys scorekeeping equipment with an invoice cost of $190,000. The electrical work required for the installation costs $20,000. Additional costs are $4,000 for delivery and $13,700 for sales tax. During the installation, the equipment was damaged and the cost of repair was $1,850. Required: indicate whether each cost should be included in the cost of the equipment or excluded and expensed as incurred.
Answers
The total Cost of the equipment is $2,27,700. In which the following included, excluded and expensed as incurred are
Invoicing costs - included in the price
Electrical work required for installation - Included in the price
Delivery costs - included in the price
Sales tax - included in the price
Repair costs - not included or excluded
A machine used by a company to produce products and services is known as a machine tool. It is a vital long-term asset as it speeds up the production process such as transportation, computers and other equipment. These costs will include the costs that were necessary to start opening the plant property. There are equipment costs.
We have given the following details ,
Total Cost DR Machinary DR Expense
Invoice cost $190,000 $190,000
electric work
and $20,000 $20,000
installation cost
delivery cost। $4,000 $4,000
sales tax $13,700 $13,700
repair cost $1,850 $1,850
total $22,9550 $22,7700 $ 1,850
Accordingly, all the mentioned costs except for the repair of the part will be included in the cost of the machinery.
Included in price Excluded
invoice repair cost
electric and installation
delivery
sales tax
Hence , the total equipment cost is $22,7700.
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You need a simple interest bridge loan to cover the costs of buying a new home while waiting to close on your old one. You need to finance $78,000 and bank will charge 9%. How much interest will you pay if you needed the loan for 2 months?Interest =$____(nearest $1)
Answers
Answer:
Explanation:
Parameters:
Principal, P = $78,000
Interest rate, R = 9%
Time, T = 2 months OR 2/12 = 1/6 years
Interest = ?
The formula for simple interest is:
I = PRT/100
\(\begin{gathered} I=\frac{78000\times9\times\frac{1}{6}}{100} \\ \\ =\frac{78000\times9}{100\times6} \\ \\ =\frac{702000}{600}=1170 \end{gathered}\)How do you do number 6?
Answers
From the graph, we can see that there are three intersection points between the two functions, which are approximately located at:
x ≈ 5.41
x ≈ 2.14
x ≈ -2.14
x ≈ -8.58
These values are approximate and are rounded to the nearest hundredth.
What is the explanation of the function?
The equation tan(2x) - x is a transcendental equation that cannot be solved algebraically. However, it has been solved graphically by finding the intersection points of the two functions y = tan(2x) and y = x on a graphing calculator or software as show in the attached.
The x-coordinates of these intersection points are the approximate solutions to the equation.
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Prove that the first player has a winning strategy for the game of Chomp, introduced in Q Example 12 in Section 1.8, if the initial board is two squares wide, that is, a 2 x n board. (Hint: Use strong induction. The first move of the first player should be to chomp the cookie in the bottom row at the far right.]
Answers
We are supposed to prove that the first player has a winning strategy for the game of Chomp if the initial board is two squares wide.
Let us assume that the board is of 2 x m size.
Then by using c we will prove that the first player has a winning strategy.
Base Case: If the board is 2 x 1, then the only square left is the bottom left square, so the second player will take it and win the game.
Inductive Hypothesis: Assume that for some positive integer k, whenever we have a board with 2 x m squares, where 1 ≤ m ≤ k, the first player has a winning strategy.
Inductive Step: Now we must prove that the first player has a winning strategy for a board of size 2 x k + 1.
The first move of the first player is to chomp the cookie in the bottom row at the far right. This leaves a board of size 2 x k.
By the inductive hypothesis, the first player has a winning strategy for this board. Therefore, the second player has to make the second move.
He can either chomp a cookie in the bottom row to the left of the chomped cookie or a cookie in the top row. If he chomps a cookie in the bottom row, the first player uses the same strategy as for a board of size 2 x k. If he chomps a cookie in the top row, the first player chomps the corresponding cookie in the bottom row, leaving a board of size 2 x k. By the inductive hypothesis, the first player has a winning strategy for this board.
Therefore, the first player has a winning strategy for a board of size 2 x k + 1 whenever he starts by chomping the cookie in the bottom row at the far right.
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the frequency polygon and the histogram are two different ways to represent the same data set. True or false?
Answers
False. The frequency polygon and the histogram are two different ways to represent data, and they have distinct characteristics.
A frequency polygon is a line graph that displays the distribution of a quantitative variable. It shows the frequency of each value or class interval on the horizontal axis and the corresponding frequencies on the vertical axis. The points on the graph are connected to form a line, which gives a visual representation of the data distribution.
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For the linear regression y = ẞ1 + ẞ2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 +681 +382 + 18ẞ1ẞ2
Derive the partial derivatives of SSE with respect to B1 and B2 and solve the optimal values of these parameters.
a. B₁ = B1
b. B₂ =
Answers
The optimal values of these parameters are:
a. β₁ = 0
b. β₂ = 0
The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:
SSE = 382 + 681 + 382 + 18β1β2
Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.
Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0
Now, we need to find the partial derivative of SSE with respect to β1.
∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0
Therefore, we obtain the optimal value of β2 as 0.
Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0
Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.
Thus, the optimal values of β1 and β2 are 0 and 0, respectively.
Therefore, the answers are: a. β₁ = 0 b. β₂ = 0
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On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
Answers
The statement that is true about the function is -
D: F(x) > 0 over the interval (-∞, -4)
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
Since the curved line has a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3), we know that the function must be decreasing from left to right over the interval from negative infinity to negative 2.5, then increasing from negative 2.5 to 0.
Since the graph crosses the y-axis at (0, negative 3), we know that the function takes the value of negative 3 when x equals 0.
Also, since the graph crosses the x-axis at (negative 4, 0), we know that the function takes the value of 0 when x equals negative 4.
Since the function is decreasing from negative infinity to negative 2.5, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-∞, -2.5).
Since the function is increasing from negative 2.5 to 0, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-2.5, 0).
Since the function takes the value of negative 3 when x equals 0, we know that F(0) = negative 3, which means that F(x) < 0 over the interval (-∞, 0).
Since the function takes the value of 0 when x equals negative 4, we know that F(-4) = 0, which means that F(x) > 0 over the interval (-∞,-4).
Therefore, F(x) > 0 over the interval (-∞, -4) is true.
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i never really understood what this was could u help
Answers
Answer:
1. f(4) or f(n)= 28
2. f(-2) or f(n)= -2
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Step-by-step explanation:
n=4 n=-2
f(n)= 5(n)+8 f(n)= 5(n)+8
f(n)= 5(4)+8 f(n)= 5(-2)+8
(n)= 20+8 f(n)= -10+8
f(n)=28 f(n)=-2
F(4)=5(4)+8
20+8=28