To determine the annual interest rate paid, we need to calculate the simple interest for one month and then convert it to an annual rate.
The formula for simple interest is:
Simple Interest = Principal × Rate × Time
In this case, the principal amount is $720, and after one month, you pay back a total of $1272. Therefore, the interest paid is:
Interest = $1272 - $720 = $552
We can now calculate the monthly interest rate:
Rate = Interest / Principal = $552 / $720 ≈ 0.7667
To convert the monthly interest rate to an annual rate, we multiply it by 12:
Annual Rate = Monthly Rate × 12 = 0.7667 × 12 ≈ 9.20
Therefore, you paid an annual interest rate of approximately 9.20%.
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
For more question on expression
https://brainly.com/question/1859113
#SPJ8
Math interest, I, P, R,T
I will give more points to you once questions are completed.
The interest based on the information given is $2564.
How to calculate the interest?From the information given, the following can be deduced:
Principal = $36900
Time = 178 days
Rate = 14.25%
The simple interest will be:
= (PRT)/100
= (36900 × 14.25 × 178/365)/100
= $2564
Learn more about interest on:
brainly.com/question/26011426
#SPJ1
When posted overseas to country A at age r, the employees of
a large company are subject to a force of mortality such that, at exact duration
†years after arrival overseas (1 = 0, 1,2, 3,4),
The probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country is 2 x 10⁻⁶³
Probability is a mathematical concept that describes the likelihood of a specific event occurring within a set of possible outcomes
Let's start by defining some terms. The force of mortality, also known as the death rate, is the number of deaths per unit time per unit of population.
The probability of survival is the chance that an individual will live past a certain age. In our case, we want to know the probability of surviving from age 30 to age 40 while living in country A.
To calculate the probability of survival, we will use the formula:
\(P(x) = e^{-qx}\)
Where P(x) is the probability of survival at age x and qx is the force of mortality at age x.
First, we will calculate the force of mortality for the first five years after arrival in country A using the equation given in the question:
90x+1 = (6 - 1)9x+1
For x = 30, we have:
90(30) + 1 = (6 - 1)9(30) + 1
2701 = 5 * 891 + 1
2701 = 4445 + 1
2700 = 4445
So, q30 = 4445/30 = 148.5
Next, we will use this value to calculate the probability of survival for the first five years in country A:
\(P30 = e^{-q3} = e^{-148.5} = 1.2 \times 10^{-64}\)
Since the force of mortality for those who have lived in country A for at least five years is 50% greater than the US Life Tables, 2002, Females, we can calculate the force of mortality for the next 10 years as follows:
qx = 1.5 x qx from US Life Tables
Using the values from Table 3.11, we have:
q31 = 1.5 x 98,424 = 147,636
q32 = 1.5 x 98,362 = 147,543
q33 = 1.5 x 98,296 = 147,444
q34 = 1.5 x 98,225 = 147,338
q35 = 1.5 x 98,148 = 147,222
q40 = 1.5 x 97,500 = 146,250
Finally, we can use these values to calculate the probability of survival from age 31 to age 40:
\(P31 = e^{-q31} = e^{-147,636} = 1.3 \times 10^{-65}\\ \\P32 = e^{-q32} = e^{-147,543} = 1.4 \times 10^{-66}\\\\P33 = e^{-q33} = e^{-147,444} = 1.5 \times 10^{-67}\\\\P34 = e^{-q34} = e^{-147,338} = 1.6 \times 10^{-68}\\\\P35 = e^{-q35} = e^{-147,222} = 1.7 \times 10^{-69}\\\\P40 = e^{-q40} = e^{-146,250} = 2.0 \times 10^{-63)}\\\\\)
Complete Question:
When posted overseas to country A at age x, the employees of a large company are subject to a force of mortality such that, at exact duration t years after arrival overseas (t = 0,1,2,3,4), 90x+1 = (6 - 1)9x+1 where qx+t is on the basis of US Life Tables, 2002, Females. For those who have lived in country A for at least five years the force of mortality at each age is 50% greater than that of US Life Tables, 2002, Females, at the same age. Some lx values for this table are shown in Table 3.11.
An extract from the United States Life Tables, 2002,
Females. Age,
x 30 31 32 33 34 35 40
1x 98,424 98,362 98,296 98,225 98,148 98,064 97,500
Calculate the probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country.
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
Need help solving this.
The option that needs revision is option 3. This is because you cannot place point A anywhere on PQ. A is created by the construction of Circle A. A is the center of circle A.
What is the process of constructing a line tangent to another circle ? Identify the circle to which the tangent line will be drawn.Draw the radius of the circle from its center to the point where the tangent line is desired.Construct a perpendicular line to the radius at the point where the tangent line is desired. This can be done using a compass or by drawing a line perpendicular to the radius.Use a compass to draw an arc from the center of the circle that intersects the perpendicular line at two points.Connect the center of the circle to one of the points of intersection on the perpendicular line. The line drawn in stes p 5 is the tangent line to the circle at the desired points.Learn more about Circle at:
https://brainly.com/question/24375372
#SPJ1
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them
play baseball. There are 8 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
The probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball.
There are 8 students who play neither sport.
Either (or both) sports = (23 - 8) = 15 students play
Both = [11 basketball and 13 baseball) - 15] = 9 must play both
Probability=9/23
Probability=0.39 or 39%
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is 39%.
To know more about probability, click on the link
https://brainly.com/question/24756209
#SPJ1
Can someone please help me with this geometry question
Answer:
Step-by-step explanation:
y varies inversely as x. y = 18 when x = 7. Find y when x = 6.
The value of y is 21, when x = 6.
What are Inverse variations?
The link between two variables known as "inverse variation" occurs when the value of one variable rises while the value of the other variable falls.
Here, we have
Inverse variations look like this: y = k/x
We need to make our own inverse variation given y = 18 and x = 7. We can plug this into the standard inverse variation with variables.
y = k/x
18 = k/7
k = 126
We've determined that k =126. Now we have what it takes to create an inverse variation. This is our final equation:
y = 126/x
We still need to find what y equals when x is 6. Let's plug in 6 for x
y = 126/6
y = 21
Hence, the value of y is 21, when x = 6.
To learn more about the Inverse variations from the given link
https://brainly.com/question/10252139
#SPJ1
\(5 - 5 \times 2 + 11\)
Answer:
6
Step-by-step explanation:
We use BODMAS/BIDMAS here.
First, we do 5 × 2, as multiplication comes before subtracting and adding.
5 × 2 = 10
Now we can just add and subtract.
5 - 10 = -5
-5 + 11 = 6
Alex wrote checks on Tuesday for $40 and $30. He also made a deposit in his checking account of $185. Find the overall change in the amount in his checking account. $ was (select A- Added to or B- deduced from) Alex's account.
Answer:
$115
Step-by-step explanation:B-$40
B-$30
A-$185
185-40-30=$115
The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
Learn more about area on
https://brainly.com/question/25292087
#SPJ1
Planes A and B are shown.
m
n
B
MA
If a new line, p, is drawn parallel to line /, which
statement is true?
O
Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /
O Line p must be drawn in the same plane as line n.
The line which is on the same plane can be parallel, two lines are never parallel when they are in different planes, so option C is correct.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
The given planes are A and B,
A new line, p, is drawn parallel to line l,
Line l in the diagram is located on plane A. Line p must be drawn on plane A in order to be parallel to line l. As a result, line p, which is located on plane B, will be perpendicular to line n and parallel to lines l and n.
To know more about the line:
https://brainly.com/question/2696693
#SPJ1
The image of the remaining question is attached below.
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
10
8
B
4
VX
2
A
-10 -3 -6 -4 -21 14
B"
4
8 10
X
O a reflection over the x-axis, then a dilation by a scale
factor of 3
O a reflection over the x-axis, then a dilation by a scale
factor of
O a 180° rotation about the origin, then a dilation by a
scale factor of 3
O a 180° rotation about the origin, then a dilation by a
scale factor of
6
8
-10
Save and Exit
Next
Submit
Mark this and return
Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
What is mean by Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Given that;
Triangle ABC is similar to A"B"C".
Now, If a point A(x, y) is rotated clockwise by 180 degrees, the new point is at A'(y, -x)
Hence, Triangle ABC was rotated 180° about the origin, then a by a scale factor of 1/3 was done to form triangle A'B'C'.
Learn more on transformation at:
brainly.com/question/1548871
#SPJ7
What is the length of FH in the right triangle below?
Answer:
7
Step-by-step explanation:
apply the Pythagorean theorem
\(10 {}^{2} = ( \sqrt{51} ) {}^{2} + x {}^{2} \\ 100 = 51 + x {}^{2} \\ 100 - 51 = x {}^{2} \\ 49 = x {}^{2} \\ x = 7\)
Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
For more questions on difference in temperature
https://brainly.com/question/18295743
#SPJ11
A garden table and a bench cost $673 combined. The garden table costs $77 less than the bench. What is the cost of the bench?
Answer:
the bench costs 596
Step-by-step explanation:
673-77=596
which of the following is the best deal?
a. 6 oz box of crackers for $1.08
b. 7-oz box of crackers for $1.19
c. 8-oz box of crackers for $1.20
d. 9-oz box of crackers for $1.26
Complete the inequality to represent the following: 13 times a number x
is less than or equal to 200.
The value for the Inequality 13x ≤ 200 is x ≤ 15.384.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
13 times a number x is less than or equal to 200.
Now, Writing the Inequality Mathematically
13x ≤ 200
x ≤ 200 / 13
x ≤ 15.384
Learn more about Inequality here:
https://brainly.com/question/2675848
#SPJ1
If random samples are drawn from two independent populations where we draw samples of size 51 from population A which has mean 20.1 and standard deviation 5.49, and samples of size 76 are drawn from population B with mean 27.3 and standard deviation 5.06, what is the standard error for the sampling distribution? Round to four decimal places.
the required standard error is 6.9 for the sampling distribution.
The standard error of the sampling distribution is given by the formula SE = sqrt( (SD1² / n1) + (SD2² / n2) )
As per the question, we are given that samples of size 51 are drawn from population A with a standard deviation of 5.49, and samples of size 76 are drawn from population B with a standard deviation of 5.06.
Substituting these values into the formula, we get:
SE = √( (5.49² / 51) + (5.06² / 76) )
SE = √( (30.11) + (17.93) )
SE = √(48.04)
SE = 6.9
Therefore, the required standard error is 6.9 for the sampling distribution.
Learn more about the standard deviation here:
https://brainly.com/question/16555520
#SPJ1
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
Find the equation of the line that passes through the given point and has the given slope. ( Use x as your variable.) (- 9, - 9), m = 0
An equation of the line that passes through the given point and has the given slope is y = -9.
What is the point-slope form?In Mathematics, the point-slope form of any straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represent the points.At data point (9, -9) and slope, m = 0, a linear equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-9) = 0(x - 9)
y + 9 = 0
y = -9
Read more on slope here: brainly.com/question/3493733
#SPJ1
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
\(\boxed{x=4}\)
Hope this helps!! :)
Please let me know if you have any questions
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
Which event is considered neither likely nor unlikely?
A, Rolling a number greater than 1 on a six-sided number cube.
B, Rolling a 1 on a six-sided number cube.
C, Getting heads when flipping a coin.
D, Choosing an X,Y, or Z from a bag containing all the letters of the alphabet.
According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.
Which event is considered neither likely nor unlikely?In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:
A, rolling a number greater than 1 on a six-sided number cube, has a probability of 5/6, which is greater than 0.5, so it is considered likely.B, rolling a 1 on a six-sided number cube, has a probability of 1/6, which is less than 0.5, so it is considered unlikely.C, getting heads when flipping a coin, has a probability of 1/2, which is equal to 0.5, so it is considered neither likely nor unlikely.D, choosing an X, Y, or Z from a bag containing all the letters of the alphabet, would depend on the specific contents of the bag. If the bag contains an equal number of each letter of the alphabet, the probability would be 3/26, which is less than 0.5, so it would be considered unlikely.According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.
Learn more about probability in: https://brainly.com/question/31828911
#SPJ1
If
\(\\ \rm\Rrightarrow 4^x-4^{x-1}=24,\)
then (2x)^x equals
(a) 5√5
(b) √5
Note:-
Make sure you include all steps.
Proper explanation is mandatory .
Spams/irrelevant/wrong/copied answers will be deleted on the spot so don't waste your precious time here by spamming .
Instead provide good explanation and correct answer
\(\\ \sf\Rrightarrow 4^x-4^{x-1}=24\)
\(\\ \sf\Rrightarrow 4^x-4^x4^{-1}=24\)
\(\\ \sf\Rrightarrow 4^x(1-0.25)=24\)
\(\\ \sf\Rrightarrow 4^x(0.75)=24\)
\(\\ \sf\Rrightarrow 4^x=32\)
\(\\ \sf\Rrightarrow 2^{2x}=2^5\)
\(\\ \sf\Rrightarrow 2x=5\)
\(\\ \sf\Rrightarrow (2x)^x=(5)^x\)
Answer:
Step-by-step explanation:
Let \(4^{x}=y\), then we obtain that:
\(4^{x}-4^{x-1}=24\rightarrow y-(y/4)=24 \rightarrow \frac{3y}{4}=24\)
So, we can get: \(3y=96 \rightarrow y = 96/3 = 32\)
Now, because \(y=4^{x}=32\), we can obtain the value of x as follows:
\(4^{x}=(2^{2})^{x}=(2^{5}) \rightarrow 2x = 5 \rightarrow x=5/2\)
Then \((2x)^{x}=(2(5/2))^{5/2}=5^{5/2}=\sqrt{5^{5}}=25\sqrt 5\)
There is no answer in your question.
Calculate each compound event probability: a. X ≤ 15, n = 20, π = .70 (Round your answer to 4 decimal places.) b. X > 8, n = 11, π = .65 (Round your answer to 4 decimal places.) c. X ≤ 1, n = 13, π = .40 (Round your answer to 4 decimal places.)
For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .
For X > 8, n = 11, π = .65 ; compound event probability is approximately 0.9198.
For X ≤ 1, n = 13, π = .40 ; compound event probability is approximately 0.6646 .
a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:
P(X ≤ 15)
= ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).
b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:
P(X > 8) = 1 - P(X ≤ 8)
= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗
Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.
Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).
c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:
P(X ≤ 1)
= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).
For more such questions on event probability visit:
https://brainly.com/question/30390037
#SPJ8
Write the equation of the line, in standard form, using the following information:Slope: 2Point: (3,-5)Equation:(Do not use any spaces in your answer. Do notuse mixed numerals. Simplify as much as possible.)
We have to use the point-slope formula to find the equation
\(y-y_1=m(x-x_1)\)Where,
\(\begin{gathered} m=2 \\ x_1=3 \\ y_1=-5 \end{gathered}\)Let's replace these values
\(\begin{gathered} y-(-5)=2(x-3) \\ y+5=2x-6 \\ y=2x-6-5 \\ y=2x-11 \end{gathered}\)To find the standard form, we have to move all the terms with variables to the left side of the equation. So, the standard form is
\(-2x+y=-11\)Where A = -2, B = 1 and C = -11.sw
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
learn more on function:
https://brainly.com/question/2412552
#SPJ1
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
A deck wraps around the back of a house. Find the area of the deck made up of rectangles.
Answer: Base and Height
Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2