3\(3\frac{1}{3} (-2\frac{1}{4} )+1\frac{5}{6}\)
Answers
We discovered the value, which is \(-31/6\), to solve the equation.
What is equation, summed up?The process of equating or creating equality; Equalization is the idea of equating death with darkness. Equilibrium: a state of equal balance. Mathematics. an assertion that two quantities are equal by an expression or statement, frequently mathematical.
What is class 8 of equations?In mathematics, an equation is an expression or even a statement that consists of two algebraic expressions that have the same value and are divided from one another by the equal symbol. It is an otherwise stated proposition that has been quantitatively quantified. A chemical equation is said to be balanced if the quantity of each kind of atom in the reaction is identical on both the reactant and product sides.
To solve the given equation we get
\(3\frac{1}{3}*(-2\frac{1}{4} ) +1\frac{5}{6}\)
To convert these fraction value (mixed fraction) into simple fraction
\(\frac{10}{3} *-\frac{9}{4}+\frac{11}{6}\)
\(-\frac{15}{2}+\frac{11}{6}\)
Take LCM of 2 and 6
\(\frac{-45+11}{6}\)
\(=\frac{-34}{6}\)
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Related Questions
Jackson is playing a game of chance where he must randomly draw a marble out of a jar. He calculates the probability of drawing a red marble to be . What is the probability of not drawing a red marble?
Answers
Using complementary events, considering a \(\frac{1}{4}\) probability of drawing a red marble, the probability of not drawing a red marble is of \(\frac{3}{4}\).
What are complementary events?They are mutually exclusive events which have the sum of their probabilities as 1.
In this problem, we consider that there is a \(\frac{1}{4}\) probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:
\(\frac{1}{4} + p = 1\)
\(p = \frac{3}{4}\)
The probability of not drawing a red marble is of \(\frac{3}{4}\).
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what is the distance between the two points shown on the graph?
Answers
Answer:
A- 19
Step-by-step explanation:
To find the distance between two points on a graph just count the number of points inbetween the two numbers. I hope my answer was helpfull and accurate. Have a lovely day!
ind a power series for the function, centered at c. h(x) = 1 1 − 6x , c = 0
Answers
This power series represents the function h(x) in terms of its infinitely many terms, where each term involves the coefficients 6^n and the powers of x^n.
To find a power series representation for the function h(x) = 1 / (1 - 6x), centered at c = 0, we can use the geometric series formula.
The geometric series formula states that for a series of the form ∑(n=0 to infinity) ar^n, where |r| < 1, the sum can be expressed as a / (1 - r), where a is the first term.
In our case, we have h(x) = 1 / (1 - 6x), which can be written as h(x) = 1 * (1 - 6x)^(-1).
Now, we can use the geometric series formula with a = 1 and r = 6x:
h(x) = 1 * ∑(n=0 to infinity) (6x)^n
Expanding the power of (6x)^n, we have:
h(x) = ∑(n=0 to infinity) (6^n * x^n)
Therefore, the power series representation for h(x) = 1 / (1 - 6x), centered at c = 0, is:
h(x) = ∑(n=0 to infinity) (6^n * x^n)
This power series represents the function h(x) in terms of its infinitely many terms, where each term involves the coefficients 6^n and the powers of x^n.
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Which of the following graph formats is the best way to examine an association claim between a categorical variable and a quantitative variable?
a bar graph
a scatterplot
a pie chart
a line graph
Answers
The best way to examine an association claim between a categorical variable and a quantitative variable is a scatterplot.
A scatterplot is a graph format that displays individual data points as dots on a Cartesian plane. It is the most suitable choice for examining the association claim between a categorical variable and a quantitative variable.
A scatterplot allows us to visually observe the relationship between the two variables by plotting the data points on the graph. The categorical variable is represented on one axis, while the quantitative variable is represented on the other axis. Each dot on the scatterplot represents an observation or data point.
By examining the distribution of the dots on the scatterplot, we can identify patterns, trends, and any potential association between the categorical and quantitative variables. This helps us understand the relationship, including its direction and strength.
On the other hand, a bar graph is typically used to compare categorical data by displaying the frequencies or percentages of different categories. It is not ideal for examining the association between a categorical variable and a quantitative variable.
Similarly, a pie chart is useful for displaying proportions or percentages of different categories within a whole but does not effectively represent the relationship between a categorical variable and a quantitative variable.
A line graph is commonly used to show trends over time or continuous data. While it can represent a quantitative variable, it may not be the best choice for examining the association claim with a categorical variable.
In summary, a scatterplot is the most appropriate graph format for examining the association claim between a categorical variable and a quantitative variable as it allows for the visual analysis of individual data points and their relationship.
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Let sets A, B, and C be defined as follows:
A = {x ∈ Z | x = 5a −12 for some integer a},
B = {y ∈ Z | y = 5b + 8 for some integer b}, and
C = {z ∈ Z | z =10c + 2 for some integer c}.
Prove or disprove each of the following statements:
I. A = B
II. B ⊆ C
III. C ⊆ A
Answers
For every element z in set C, we can find a corresponding element x = 5a - 12 in set A, where a = 2c + 2. This demonstrates that C is a subset of A.
To prove or disprove the statements, let's examine each one separately:
I. A = B
To prove this, we need to show that every element in set A is also an element in set B, and vice versa.
Let's start by considering an arbitrary element in set A: x = 5a - 12, where a is an integer. We want to find an integer b such that y = 5b + 8 is equal to x.
Setting y = 5b + 8 equal to x = 5a - 12, we can solve for b:
5b + 8 = 5a - 12
5b = 5a - 20
b = a - 4
Therefore, for every element x in set A, we can find a corresponding element y = 5b + 8 in set B, where b = a - 4. This demonstrates that A is a subset of B.
Now let's consider an arbitrary element in set B: y = 5b + 8, where b is an integer. We want to find an integer a such that x = 5a - 12 is equal to y.
Setting x = 5a - 12 equal to y = 5b + 8, we can solve for a:
5a - 12 = 5b + 8
5a = 5b + 20
a = b + 4
Therefore, for every element y in set B, we can find a corresponding element x = 5a - 12 in set A, where a = b + 4. This demonstrates that B is a subset of A.
Since we have shown that A is a subset of B and B is a subset of A, we can conclude that A = B. Thus, statement I is true.
II. B ⊆ C
To prove this, we need to show that every element in set B is also an element in set C.
Let's consider an arbitrary element in set B: y = 5b + 8, where b is an integer. We want to find an integer c such that z = 10c + 2 is equal to y.
Setting z = 10c + 2 equal to y = 5b + 8, we can solve for c:
10c + 2 = 5b + 8
10c = 5b + 6
c = (5b + 6) / 10
c = b/2 + 3/5
Since c is required to be an integer, b/2 must be an integer. This means that b must be an even number.
However, set B contains elements of the form 5b + 8, where b can be any integer. Therefore, there are elements in set B that cannot be expressed in the form 10c + 2, where c is an integer.
Hence, not every element in set B is an element in set C. Therefore, statement II is false.
III. C ⊆ A
To prove this, we need to show that every element in set C is also an element in set A.
Let's consider an arbitrary element in set C: z = 10c + 2, where c is an integer. We want to find an integer a such that x = 5a - 12 is equal to z.
Setting x = 5a - 12 equal to z = 10c + 2, we can solve for a:
5a - 12 = 10c + 2
5a = 10c + 14
a = 2c + 2
Therefore
, for every element z in set C, we can find a corresponding element x = 5a - 12 in set A, where a = 2c + 2. This demonstrates that C is a subset of A.
Since we have shown that C is a subset of A, we can conclude that C ⊆ A. Thus, statement III is true.
To summarize:
I. A = B (True)
II. B ⊆ C (False)
III. C ⊆ A (True)
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true or false: in a group of 20 people and friendship is mutual, there must exist two people who have the same number of friends.
Answers
The statement that in a group of 20 people and friendship is mutual, there must exist two people who have the same number of friends is, True.
What is pigeonhole principle?A general rule, called the pigeonhole principle, is that if there are more pigeons than holes , there should be at least one hole with at least two pigeons. The pigeonhole principle guarantees what will happen in the worst case.
We have a group of 20 people , so N = 20
Each person can have 0 to 19 friends. But if someone has 0 friends, then no one can have 19 friends and similarly you cannot have 19 friends and no friends. So, there are only 19 options for the number of friends and 20 people. By the Pigeonhole Principle, our assumption that distinct friends is not true has been proven false, because according to the principle of withdrawal, there are at least two people who have the same number of friends as he, thus it must be indeed true. Hence, the number of possibilities for the number of friends the 20 people at the party have must be less than 20. Hence two people at the party have the same number of friends at the party.
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what is the slope of the line that passes through the points (4,-2) and (4,10)? write your answer in simplest form
Answers
Answer:
x = 4
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (10 - -2)/(4 - 4) = 12/0
so slope is undefined
therefore the line is a vertical line, which is x = 4
A direct variation passes through the point (-3,9) given y varies directly as x find the value of y when x is 2
Answers
Answer:
y=-6
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
Substituting x=-3 y=9:
9 = k(-3)
\(k=\frac{9}{-3}=-3\)
Now the relationship is:
y = -3x
For x=2
y = -3(2) = -6
Kai wants to buy a new surfboard. He earns $12.50 each time he mows a lawn. He keeps track of the total amount of money that he has, y, with the equation y-12.5x+30
. The x represents the number of lawns that Kai mows. What does the y-intercept represent in this equation?
A
The cost of the surfboard
B
The number of lawns that Kai mows
C
The total money that Kai will make
D
The money that Kai started with before he mowed any lawns
Answers
Answer:
D. The money that Kai started with before he mowed any lawns.
Step-by-step explanation:
We Know
The equation is y = mx + b
The x represents the number of lawns that Kai mows.
What does the y-intercept represent in this equation?
The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.
Answer:
The Answer is D
Step-by-step explanation:
PLZ HELP!!!
WILL GIVE BRAIN!!!
Answers
Answer:
29
Step-by-step explanation:
Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6.4x2- 6x2 + 12- 4x2- 6x2 - 12
Answers
Given the functions:
\(\begin{gathered} f(x)=-5x^2+6 \\ g(x)=x^2-6 \end{gathered}\)\(\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(-5x^2+6)+(x^2-6)=-5x^2+x^2+6-6 \\ (f+g)(x)=-4x^2+0=-4x^2 \end{gathered}\)The answer is: C. -4x^2.
fill in the blanks to complete the marginal product of labor column for each worker. labor output marginal product of labor (number of workers) (pizzas) (pizzas) 0 0 1 50 2 90 3 120 4 140 5 150
Answers
We can see that the marginal product of labor column for each worker can be filled with the calculated values of the marginal product of labor (MPL).
In the given problem, we are provided with the output data of a pizza-making firm. We have to fill in the blanks to complete the marginal product of labor column for each worker.
Let us first define Marginal Product of Labor:
Marginal product of labor (MPL) is the additional output produced by an extra unit of labor added, keeping all other inputs constant. It is calculated as the change in total output divided by the change in labor.
Let us now calculate the marginal product of labor (MPL) of the given workers: We are given the following data:
Labor Output Marginal Product of Labor (Number of Workers) (Pizzas) (Pizzas) \(0 0 - 1 50 50 2 90 40 3 120 30 4 140 20 5 150 10\)
To calculate the marginal product of labor, we need to calculate the additional output produced by an extra unit of labor added. So, we can calculate the marginal product of labor for each worker by subtracting the output of the previous worker from the current worker's output.
Therefore, the marginal product of labor for each worker is as follows:
1st worker = 50 - 0 = 50 pizzas 2nd worker = 90 - 50 = 40 pizzas 3rd worker = 120 - 90 = 30 pizzas 4th worker = 140 - 120 = 20 pizzas 5th worker = 150 - 140 = 10 pizzas
Thus, we can see that the marginal product of labor column for each worker can be filled with the calculated values of the marginal product of labor (MPL).
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What is the volume of a cylinder with a radius of 12 units and a height of 11 untits
Answers
Answer: 4976.28
Step-by-step explanation:
V=πr2h=π·122·11≈4976.28276
hope this helps!
A rectangle has an area of 45x2 - 42x - 48 and a
width of 5x - 8. What is the
length of the
rectangle?
To find the length of the rectangle, use
45x- 42x - 48 as the
v and 5x 8 as
the
Answers
Therefore the length of rectangle is 9x + 6.
The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.
Quadratic factorization using splitting of middle term : In this method splitting of middle term in to two factors. In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.
Given that a rectangle has an area of 45x^{2} - 42x - 48 and a
width of 5x - 8.
Therefore
Area of rectangle = A = 45x^{2} - 42x - 48
Width of rectangle = b = 5x - 8
Length of rectangle = a
We know that area of rectangle = a × b
⇒ 45x^{2} - 42x - 48 = a × (5x - 8)
⇒ 3(15x^{2} - 14x - 16) = a × (5x - 8)
⇒ 3(15x^{2} - 14x - 16) = a × (5x - 8)
⇒ 3(15x^{2} -24x + 10x - 16) = a × (5x - 8)
⇒ 3[3x(5x - 8) + 2(5x - 8)] = a × (5x - 8)
⇒ 3(5x - 8)(3x + 2) = a × (5x - 8)
⇒ 3(3x + 2) = a
⇒ 9x + 6 = a
Hence the length of rectangle = 9x + 6
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Describe how to decide if 94 is a prime number or composite number.
Answers
Answer:
94 is not a prime number. The number 94 is divisible by 1, 2, 47, 94. ... Since 94 has more than two factors, i.e. 1, 2, 47, 94, it is not a prime number.
Step-by-step explanation:
The number of silly bands Kera has is double the number of Hexbugs Jackson has. The number of Hexbugs Jackson has is 20% of the number of apps Emeril has on his phone. If Kera has 26 silly bands, how many apps does Emeril have on his phone?
Answers
Answer:
65 apps
Step-by-step explanation:
Let the number of silly bands Kera has be x, then the number of hexbugs Jackson have will be x/2
Number of hexbugs Jackson has is 20%(20/100 = 1/5) of the number of apps Emeril
has on his phone.
This means;
x/2 = 1/5 * number of apps
Now Kera he 26 silly bands. Hence, x = 26
Thus 26/2 = 1/5 * number of apps
13 = 1/5 * number of apps
Number of apps = 5 * 13 = 65 apps
my square orchid garden abuts my house so that the house itself forms the northern boundary. the fencing for the southern boundary costs $5 per foot, and the fencing for the east and west sides costs $3 per foot. find the total cost of the fencing as a function of the length (in feet) of a side x.
Answers
The total cost of the fencing as a function of the length of the x side is 11x
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
southern = 5$east = 3$west = 3$side = xTotal cost = ?Calculating the total cost:
Total cost = (southern + east + west) * side
Total cost = (5 + 3 + 3)*x
Total cost = 11x
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Solve. x/4 + ½ = 1/8
x = ____ (Simplify your answer.)
Answers
Answer:
\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)
\( \frac{x}{4} = - \frac{3}{8} \)
\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.
x/4 + 1/2 = 1/8
Take the 1/2 term on the other side,
x/4=1/8 - 1/2
Taking the LCM on the Right side,
x/4 = (1-4) / 8
x/4 = -3/8
Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,
x = ( -3/8) * 4
x = -3/2
The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.
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Jones planted s flowers. He planted fewer flowers than Kerry Kerry planted 50 flowers. Write
the expression that shows how many flowers Jones planted.
Answers
If there is a picture could you please add it to your question?
It will help me find the correct anwser faster for you!
Help thank you 20 pts
Answers
Answer:
23 out of 24, 92%
Step-by-step explanation:
firt see how many there are in one whole
multiply by three
minus 1 =23
round up and convert
Choose the expression that is equivalent to 9w² +(20w² - 15w+10) +2w.
OA. 9w² - 17w +6
B. 21w² -7w+10
C. 21w²-7w+6
D. 9w² -w+10
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: 9w² - 13w + 10\)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \tt \rightarrow \: 9 {w}^{2} + (20 {w}^{2} - 15w + 10) + 2w\)
\(\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w + 10+ 2w\)
\(\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w +2w + 10\)
\(\qquad \tt \rightarrow \: 29 {w}^{2} - 13w + 10\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
find \(cos^{-1}(3pi/4)\)
Answers
Step-by-step explanation:
Using the unit circle, the answer is
135 degrees
Molly and Torry like to eat ice cream sandwiches. In one week Molly ate five ice cream sandwiches and Torry ate n ice cream sandwiches. they ate a total of 12 ice cream sandwiches together, right equation describe a situation how many ice cream sandwiches did Torry eat?
Answers
\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
Determine whether the parallelogram with the given vertices is a rectangle, rhombus , or square. Give all names that apply. Explain your reasoning. You must use properties of diagonals to show and explain your reasoning. A(-6,-2)B (-3,3) C (2,0)D (-1,-5)
Answers
We will have the following:
First, we have the graph of the problem:
Now, we determine the slope of the diagonals, and if those are perpendiullar we then have that it will be a square, that is:
\(\begin{cases}m_{AC}=\frac{0-(-2)}{2-(-6)}\Rightarrow m_{AC}=\frac{1}{4} \\ \\ m_{BD}=\frac{-5-3}{-1-(-3)})\Rightarrow m_{BD}=-4\end{cases}\)From this, we can see that the slopes are perpendicular. This is a condition for a square or a rhombus.
Now, we determine if the graph belongs to a square by determining if the slopes of AB & BC are perpendicular:
\(\begin{cases}m_{AB}=\frac{3-(-2)}{-3-(-6)}\Rightarrow m_{AB}=\frac{5}{3} \\ \\ m_{BC}=\frac{0-3}{2-(-3)}\Rightarrow m_{BC}=-\frac{3}{5}\end{cases}\)From this we can see that those segmens are also perpendicular, so in this particular case the graph is a square. [Which technically speaking is also a rhombus].
The reasoning is that the diagonals are perpendicular and the external segments are also perpendicular, a property that belong to squares.
Now, we find the intersection point of the diagonals, that is:
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})_{}\)\(M(\frac{2-6}{2},\frac{0-2}{2})\rightarrow M(-2,-1)\)Now, we determine the distance of all 4 segments AM, BM, CM & DM:
\(\begin{cases}d_{AM}=\sqrt[]{(-2+6)^2+(-1+2)^2}\Rightarrow d_{AM}=\sqrt[]{17} \\ \\ d_{BM}=\sqrt[]{(-2+3)^2+(-1-3)^2}\Rightarrow d_{AM}=\sqrt[]{17} \\ \\ d_{CM}=\sqrt[]{(-2-2)^2+(-1-0)^2}\Rightarrow d_{CM}=\sqrt[]{17} \\ \\ d_{DM}=\sqrt[]{(-2+1)^2+(-1+5)^2}\Rightarrow d_{DM}=\sqrt[]{17}\end{cases}\)So, the distance of all segments that divide the diagonals are equal, thus the points describe a square.
20 POINTS AND BRAINLIEST ONLY FOR CORRECT ANSWER
Given square ABCD. Two isosceles triangles ABP and BCQ are constructed with bases AB and BC . Each of these triangles has vertex angle of 80°. Point P lies in the interior of the square, while point Q lies outside of the square. Find the angle measure between PQ and BC
Answers
9514 1404 393
Answer:
85°
Step-by-step explanation:
Each of the isosceles triangles PAB and QBC has interior base angles of ...
(180° -80°)/2 = 50°
Then angle PBC is 90° -50° = 40°.
Segments PB and QB are the same length, so triangle PBQ is an isosceles right triangle. This means angle BPQ is 45°. Angle QEB is the sum of the remote interior angles of ∆BEP, so is 45° +40° = 85°.
The acute angle between PQ and BC is 85°.
Twice a number minus 4 equals twelve. Find the #
Answers
answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
Answer:
8
explanation:
8 x 2 = 16
16 - 4 = 12
what is the mean value of the following scores: 12, 25, 15, 27, 32, 8?
Answers
The mean value of the scores is 19.83, based on their sum and quantity of numbers.
The mean or average is calculated using the formula -
Mean = sum of all the numbers ÷ quantity of numbers.
We see that there are six numbers and hence the quantity of numbers will be 6.
Sum of all the numbers = 12 + 25 + 15 + 27 + 32 + 8
Performing addition on Right Hand Side of the equation
Sum of all the numbers = 119
Now calculating the mean of the scores by keeping the values in formula -
Mean = 119/6
Performing division on Right Hand Side of the equation
Mean of scores = 19.83
Hence, the average of scores is 19.83.
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A square field has an area of 479 A2. What is the approximate length of a side of the field? Give your answer to the nearest foot.
Could someone please help me..? I had to do a repost due to some issues. And explain it please. Thank you.
Answers
Answer:
Step-by-step explanation:
Area of square = 479
Side² = 479
Take square root both sides
\(\sqrt{Side^{2}}=\sqrt{479}\\\\Side = 21.88\\\\Side = 22 ft\)
QUADRATIC FUNCTIONS: The profit (in hundreds of dollars) that a corporation receives depends on the amount (in hundreds of dollars) the company spends on marketing according to the model 130+10X−0.5x2130+10X−0.5x2. What expenditure for advertising yields a maximum profit? What is the mathematical name of this point?
PROBLEM 4: POLYNOMIAL FUNCTIONS: Let f(x)=4x5−8x4−5x3+10x2+x−1f(x)=4x5−8x4−5x3+10x2+x−1. The graph is presented below:
Describe f (x) in terms of
Degree of polynomial
Main coefficient
Final behavior
Maximum number of zeros
Maximum number of exchange points (relative maximums and minimums)
Answers
Step-by-step explanation:
The profit (in hundreds of dollars) that a corporation receives is given by the quadratic function:
P(x) = 130 + 10x - 0.5x^2
where x is the amount spent on marketing (in hundreds of dollars).
To find the expenditure for advertising that yields a maximum profit, we need to find the vertex of the parabola. The vertex occurs at:
x = -b/(2a) = -10/(2*(-0.5)) = 10
Substituting x = 10 back into the equation for P(x), we get:
P(10) = 130 + 10(10) - 0.5(10)^2 = 180
Therefore, an expenditure of $1000 for advertising yields a maximum profit of $18000.
The mathematical name of the point is the vertex of the parabola.
---
For the polynomial function:
f(x) = 4x^5 - 8x^4 - 5x^3 + 10x^2 + x - 1
Degree of polynomial: 5
Main coefficient: 4 (the leading coefficient)
Final behavior: As x approaches positive or negative infinity, f(x) also approaches positive infinity (since the leading term has a positive coefficient and has the highest degree).
Maximum number of zeros: 5 (since it is a fifth-degree polynomial)
Maximum number of exchange points: 4 (since there are 4 relative extrema, either maximum or minimum points)
give the equation g=x-c+y , solve the equation for x
Answers
Answer:
x= c+g-y
Step-by-step explanation:
you would subtract (-c) and (y) from the side that x is on