Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.

Given F(x) And G(x) = Kf(x), Use The Graph To Determine The Value Of K.

Answers

Answer 1

Step-by-step explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.


Related Questions

Your friend is supposed to meet you at the beach between 12 pm and 1:30 pm. if you arrive at 12:25 pm and you do not see your friend, what is the probability that you will have missed your friend.
Please and thank you so much for your help!!!!!!

Answers

Answer:5/18

Step-by-step explanation:

1. Find how many minutes (90 minutes in all but you were there for 25)

2. Put 25 over 90 to find the probability in the time that you were not there.

3. Simplify the fraction to 5/18.

If the area of a circle is 90 cm​, what is its​ radius?

Answers

Answer:

r= 5.35

Step-by-step explanation:

Answer:

the radius is .... 5.35 :P

kaii~

11z-6=16, then z=

First answer get to be brainliest! ​

Answers

                - - -- - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]

         11z-6=16, what is z?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

We need to make sure that all variables are on the left-hand side and the numbers are on the right-hand side.

Since we have a number on the left-hand side, we need to move it to the right-hand side with the opposite operation:-

11z=16+6

[tex]\it{11z=22}[/tex]

Divide by 11 on both sides:-

[tex]\it{z=2}[/tex]

We can check our solution by replacing z with 2 and seeing whether or not we end up with a true statement:-

[tex]\it{11(2)-6=16}[/tex]

[tex]\it{22-6=16}[/tex]

[tex]\it{16=16}[/tex]

So we conclude that our solution, z=2, is correct.

Good luck with your studies.

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Answer:

z=2

Step-by-step explanation:

11(2)-6=16

22-6=16

Can someone help me with this please?

A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

Event A: The first ticket is a concert ticket.

Event B: The second ticket is a concert ticket.

about ___%.

Answers

He has a four percent chance of going to the movies

What is 5log3+log4 as a single logarithm?

Answers

[tex]~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)[/tex]

Select the correct answer.
Which graph shows a function and its inverse?

Answers

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

Answer:b

Step-by-step explanation:

Using the image above, what is the measure of Side AC? Round to the nearest hundredth

Answers

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

Trigonometric Ratio

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

Angle = 32.9 degreesHypothenuse = 3.4

Let's use cosine rule for this.

[tex]cos\theta = \frac{adjacent}{hypothenuse}[/tex]

Proceed to substitute the values into the equation and solve.

[tex]cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85[/tex]

From the calculations above, the value of side AC is 2.85 units

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Which of the following is considered a biased estimator?
variance
proportion
median
mean

Answers

Answer:

Variance

Step-by-step explanation:

Biased estimators ar ethe values in which the calculated value is less than the estimated values .

For statistics sector this word is used.

Mean and medians are standards and unbiased estimators .

Option A

In between: variance, proportion, median and mean, variance is considered a biased estimator.

What is a biased estimator?

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Because they are centered on parameters, the sample percentage (p) and sample mean (x) are both unbiased estimators.

When the population is normal, the sample median is a fair estimate of the population median. It is untrue that the sample median is a fair estimator of the population median for a broad population, nevertheless. When the population is not symmetric, the sample mean is a biased estimator of the population median.

A biased estimate of the population variance is the sample variance.

Therefore, a biased estimator is variance.

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HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS

1. What base 10 number does 257 eight represent

2. A new operation, #, is defined this way: m#n=m^2-mn. Find the value of 7#(3#2).

Answers

Answer:

1. 175

2. 28

Step-by-step explanation:

If you're converting from another base, just multiply each digit, then add up the numbers:

ones digit × 8^0,

tens digit × 8^1

hundreds × 8^2

see image.

The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!

see image.

radius of a cylinder is 4 cm and height given is 6 cm. Find the volume in terms of pi​

Answers

Volume of cylinder is pi [tex]r^{2}[/tex] h

So now volume = pi(4)^2(6) = 96 pi cm^2
given:

height= 6 cm

radius= 4 cm

to find:

the volume of the given cylinder.

solution:

[tex]v = \pi {r}^{2} h[/tex]

[tex]in \: terms \: of\pi = {r}^{2} h[/tex]

[tex]v = {4}^{2} \times 6[/tex]

[tex]v = 96\pi \: {cm}^{3} [/tex]

The diagram shows a cuboid 4cm 5cm 9cm what is the volume of the cuboid

Answers

Answer:

180cm cubed (the tiny three symbol)

Step-by-step explanation:

4 x 5 x 9

(4 x 5) x9

20 x 9

=180cm cubed

Which equation is the inverse of y = x2 – 36? y = plus-or-minus startroot x endroot 6 y = plus-or-minus startroot x 36 endroot y = plus-or-minus startroot x endroot 36 y = plus-or-minus startroot x squared 36 endroot

Answers

The inverse of the given function is expressed as y =  ±√x + 38

Inverse of an equation

Given the equation below expressed as:

y = x²  - 36

Replace y with x

x = y² - 38

Add 38 to both sides of the equation

x + 38 = y² - 38 + 38
y² = x + 38

Take the square root of both sides

√y² = ±√x + 38

y =  ±√x + 38

Hence the inverse of the given function is expressed as y =  ±√x + 38

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Answer:

B on edge 2022

Step-by-step explanation:

took the quiz

Please, someone help. I will give brainliest. (I dont need an explanation just an answer please.)

Answers

Answer:

C

Step-by-step explanation:

In 3 options, the coefficient of x on both sides is the same. Hence, they will all have no solution. The only one which has exactly one solution is :

C. 6x + 8 = -6x + 20

PLEASE HELP!

Six guinea pigs are released in an area with no natural predators. The guinea pig population quadruples every year. Write a function P that represents the guinea pig population at a given time T measured in years. Choose the function below that represents the inverse function P-1
Use the inverse function to find how long it will take the guinea pig population to reach 1,000 and choose the response that correctly states this information.

Answers

The time taken for the population of the pig to reach 1000 will be almost four years.

What is a function?

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Six guinea pigs are released in an area with no natural predators.

The guinea pig population quadruples every year.

Write a function P that represents the guinea pig population at a given time T measured in years.

Then the function will be

[tex]\rm P = 6 (4)^T[/tex]

Then the inverse function of P will be

[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]

Then the time taken for the population of the pig to reach 1000 will be

[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]

More about the function link is given below.

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a) If a regular octagon and regular hexagon both have the same side lengths, which will have the greater area?​

Answers

Answer:

Octagon

Step-by-step explanation:

Formula for a polygon is :

A = 1/2 x a x Pa = apothem (distance from center to the midpoint of a sideP = perimeter (sum length of the sides)

Since a regular octagon has 8 sides, and a regular hexagon has 6, the octagon will have the greater area due to greater perimeter.

The width of a rectangle is 2/3 its length. The perimeter of the rectangle is 400 ft. What is the length, in feet, of the rectangle?

Answers

Answer:

here's your answer....

The majority of Americans spend most of their income on:
housing.
A.food.
B.health care.
C.entertainment.

Answers

It would be housing. Hope it helps!
Out of the choices you have, answer choice “A” (food).

which of the following is an example of exponential growth? A. y=4e^ B. y=2(0.5)^x C. y=3 (1/4) ^x D. none of these

Answers

Answer:

it's D, cause for one, on b and c, their are multiplying by fractions, their is a rule like, either divide by 2 or multiple by one half, and the first one doesn't make sense so

Which of the following measurements could be the side lengths of a right triangle? A. 65 in, 104 in, 130 in B. 78 in, 104 in, 130 in C. 78 in, 104 in, 156 in D. 78 in, 117 in, 130 in

Answers

Answer:

B

Step-by-step explanation:

from right angle triangle we know

(greater side)=√one side^2+remaining side^2

130=√78^2+104^2

130=130

hence b is correct


find the area to the nearest hundredth use 3.14 for π​

Answers

Answer:

50.24

Step-by-step explanation:

you can use pi r^2

Which expression is equivalent to the area of square A, in square inches?

Answers

Answer:

the required expression equivalent to the area of the square A in inches is (10² + 24²).

Step-by-step explanation:

The polynomial function f(x) = 3x5 – 2x2 7x models the motion of a roller coaster. the roots of the function represent when the roller coaster is at ground level. which answer choice represents all potential values of when the roller coaster is at ground level? begin by factoring x to create a constant term. 0, plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 0, plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7 plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7

Answers

The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0

How to determine the roots of the equation?

The polynomial function is given as:

f(x) = 3x⁵ - 2x² + 7x

Set the function to 0

3x⁵ - 2x² + 7x = 0

Factor out x

x(3x⁴ - 2x + 7) = 0

Divide both sides by (3x⁴ - 2x + 7)

x = 0

Hence, the root of the equation is 0

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Answer:

B

Step-by-step explanation:

cause math

Estimate, to the nearest degree, the size of each radian measure in degrees.

a) 2.5
b) 5.2
c) 6.8

Answers

B. Just saying, this is an estimate, yet it seems more logical.

somebody please help me on this.​

Answers

No of outcomes =8
P(odd)=1/2
P (<6)=5/8
Required probability of P(odd) and P (<6) = 1/2*5/8=5/16

solve 8,327.8- 12.034 923.01+74.289

Answers

Answer:

8,327.8 - 12.034 = 8315.766

923.01 + 74.289 = 997.299

hope this helps:)


PLS HELP WILL MARK BRAINLIEST
Spencer is draining his swimming pool. The expression - 720x + 4,000 represents the amount of water, in gallons, remaining in the pool
after x hours. What does 4,000 represent?
A the time left until the pool is empty

B the gallons of water initially in the pool
Cthe total hours required to drain the pool
D the amount of water being drained per hour

Answers

Using linear function concepts, it is found that the representation of the value of 4,000 is given by:

B the gallons of water initially in the pool.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, the amount of water in the pool after x hours is modeled by:

y = -720 x + 4000.

4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.

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A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?

Answers

well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]

since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it.  Let's check for the distance RQ.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]

needless to say RQ is larger than RL.

WILL MARK BRAINLIEST!!!
A bag contains four red marbles, three blue marbles, two yellow marbles, and one green marble. Two marbles are drawn from the bag, one at a time, without replacement. What is the probability of drawing two blue marbles?

Answers

Answer:

1/12

Step-by-step explanation:

The initial probability of drawing a blue marble would be 3/9 as there are initially 3 blue marbles and in the bag there are a total of 9 marbles however, to get the second blue marble, the probability would be 2/8 since there's one less blue marble in the bag, making it 2 and one less marble in the bag, in general, leaving 8 marbles in the bag. To find the combined probability of getting both blue marbles, multiply the probabilities so:

3/9 x 2/8 = 1/3 x 1/4 = 1/12

What is the area of this quadrilateral?
41
3 ft
10 ft
10 ft
3D
4 ft
O A. 30 square feet
O B. 36 square feet
O c. 42 square feet
O D. 12 square feet

Answers

Answer:

42 square feet

Step-by-step explanation:

10 ×3= 30

4×3=12 divided by two =6 ×2= 12

(multiply because there are two triangular ends)

12+30=42


[tex]\bold{ANSWER:}[/tex]
30 square feet (REAL ANSWER)

[tex]\bold{SOLUTION:}[/tex]

I need help with this problem

Answers

Answer:

n=-6

Step-by-step explanation:

You would first multiply by 3 because you are trying to get n by itself?

then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6

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