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

a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph

Answers

Answer:

I believe the answer is 8th graders.

Step-by-step explanation:

What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!​

Answers

Answer:

Step-by-step explanation:

Easy, add up all the numbers. 3.8+4.7+5.6  which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2

Answer:

14.1 cm

Step-by-step explanation:

Perimeter : sum of the sides

3.8 + 4.7 + 5.68.5 + 5.6 14.1 cm

helppppop this is 7th grade math

Answers

b and d are equivalent

the answer is B, D and F. I hope this was helpful

Whats the soulution to the stimultaneous equation 2x-3y=-1 and y=2x+3

Answers

Answer: x = -2, y = -1

Step-by-Step Explanation:

Lets solve this by Substitution;

=> 2x - 3y = -1 (Eq. 1)
=> y = 2x + 3 (Eq. 2)

From Eq. 2 we get the value of ‘y’ in terms of ‘x’

Substitute value of ‘y’ from Eq. 2 in 1 :-

2x - 3y = -1
2x - 3(2x + 3) = -1
2x - 6x - 9 = -1
-4x - 9 = -1
-4x = -1 + 9 = 8
=> x = 8/-4 = -2

Therefore, x = -2

Substitute value of ‘x’ in Eq. 2 :-

y = 2x + 3
y = 2(-2) + 3
=> y = -4 + 3 = -1

Therefore, y = -1

Find the vertex. f(x) = 9x²+1​

Answers

the vertex is (0, 1)
Answer: (0,1)

Hope this helps!

An agricultural researcher wishes to see if kelp extract helps prevent frost damage on tomato plants. 100 tomato plants in individual containers are randomly assigned to 2 different groups. plants in both groups are treated identically, except that the plants in group 1 are sprayed weekly with kelp extract, while the plants in group 2 are not. after the first frost in the autumn, 12 of the 50 plants in group 1 exhibited damage. 18 of the 50 plants in group 2 showed damage. test the claim to see if there is evidence of a decrease in the proportion of tomatoes suffering frost damage for tomatoes sprayed with kelp extract.

a) state the hypotheses.

b) identify the p-value to the nearest thousandth.

c) state the conclusion in the context of the problem.

Answers

The p-value to the nearest thousandth. p value > 0.05

What is null and alternative hypothesis ?

A null hypothesis is a statement, in which there is no relationship between two variables. An alternative hypothesis is statement in which there is some statistical significance between two measured phenomenon.

Group 1 n₁ = 50 , x₁ = 12

Group 2 n₂ = 50 , x₂ = 18

p₁ = x₁/n₁ = 12/50 = 0.24

p₂= x₂/n₂ = 18/50 = 0.36

Testing the null and alternative hypothesis

H₀ = p₁ -  p₂= 0

Hₓ =  p₁ -  p₂ < 0

Level of Significance α =0.05

Test Statistic

[tex]\rm z = \dfrac{p_1-p_2}{\sqrt{\dfrac{p_1(1-p_1)}{n_2} +\dfrac{p_2(1-p_2)}{n_2}}}[/tex]

On substituting the values

z = -0.12/0.9086

z = -1.32

p value = p(z > -1.32)

p value = 0.0934

Therefore p value > 0.05

Hence we fail to reject H₀ at 5 % level of significance .

There is no significant evidence that the decrease in proportion of tomatoes suffering frost damage for tomatoes sprayed with the kelp extract.

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-3/5, 6/5, -12/5 whats the next term of the geometric sequence?

Answers

Answer:

24

Step-by-step explanation:

The numerators are being multiplied by -2

HEPELPELEPLEPLEPLEPLEPLEPLE PELASE ITS MY LAST QUESTION

Answers

Answer:

D

Step-by-step explanation:

It is letter d because it is all true facts.

Match the transformation with the description.

Answers

Answer:

Translation = Slide

Reflection = Flip

Rotation = Turn

Step-by-step explanation:

Please help ASAP!!
see attachment below!

Answers

hey there !

7C5 = 7 x 6 x 5 x4x3/5 x 4 x 3 x2x1 = 7

Hence option d is correct z

Jermaine is throwing a surprise party for his mom. He has a photograph of her he wants to enlarge it to life size! The print shop charges by the square inch of poster paper. His mom 3 inches tall in the photo, but is actually 66 inches tall. If the area of the photo is 15 square inches, which of the following proportions could be used to determine how much paper jermaine will pay for where x is the area of the poster?

Answers

The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.

What is the area?

The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.

Given data;

Height of mom in the photo = 3 inches

Real size of photo=66 inches

Area of the photo = 15 square inches

Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:

Area = width × length

[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]

Hence,the area of the poster will be 0.68 m².

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Can someone help me out, please?

Answers

Y=x/2 is also what I got

Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)

Answers

The expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

How to determine the volume of the empty space?

The cube box has a side length of 9.

So, the volume of the box is:

V = 9³

The sphere has a radius of 4.5.

So, the volume of the sphere is:

v = 4/3π(4.5)³

Calculate the difference between both volumes:

d = 9³ - 4/3π(4.5)³

Hence, the expression that represents the volume of the empty space is 9³ - 4/3π(4.5)³

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Answer: that is answer d

Step-by-step explanation:

2023 edge

which expression is equivalent to the given expression?

2x^2-14x+24


A.) 2(x-5)(x-2)

B.) 2(x-3)(x+3)

C.) 2(x-3)(x-4)

D.) (2x-12)(x-2)

Answers

Answer:

C.) 2(x-3)(x-4)

Step-by-step explanation:

I think so

What is the scale factor for the dilation below?
See picture for full problem. Please and thank you so very much!!!!

Answers

Answer:

The answer is 5

Step-by-step explanation:

Divide the original x-axis value by the x-axis value after dilation. So, point G' has an x-axis value of 2, and point G has an x-axis value of 10. If you divide 10/2, you get 5.

What's for b). Help me​

Answers

Answer:

Step-by-step explanation:

Remark

First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.

Givens

n = 8

Sn = ?

d = -6

a = 90

Formula

S8 = a + (n - 1)*d

Solution

s8 = 90 + (8-1)*-6

s8 = 90 + 7 * -6

S8 = 80 - 42

S8 = 38

Part B

Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.

Givens

Sn = 5

n = ?

d = -6

Formula

Sn = a + (n - 1)*d

Solution

5 = 90 + (n - 1)*-6                    Subtract 90 from sides

5-90 =90-90 +(n - 1)*-6          Combine    

-85 = (n -1)*-6                          Divide by - 6

-85/-6 = (n - 1)-6/-6

14 1/6 = n - 1                            Add 1 to both sides

14 1/6 +1 = n - 1 + 1                  Combine

15 1/6 = n

But a fraction is not permitted. So 5 is not a member of the sequence

The height of a burning candle can be modeled by a linear function.
Candle A has an initial height of 201 millimeters, and its height
decreases to 177 millimeters after 4 hours of burning. The height, h,
in millimeters, of Candle B can be modeled by the function
h = 290-5t, where t is the time in hours. Which of the following
statements are true? Select all that apply.
the initial

Answers

Answer:

below

Step-by-step explanation:

• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.

• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.

24 / 4 = 6

       As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.

• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.

290 / 5 = 58

       Candle B will burn out after 58 hours. This statement is true.

• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.

10 x 6 = 60

201 - 60 = 141

After 10 hours the height of Candle a will be 141 millimeters. This statement is true.

• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that

       Candle A will burn out before Candle B. This statement is true.

help me for 10 points

Answers

given:

edge= 5 in

to find:

the surface area of the given cube.

solution:

[tex]s.a = 6 {a}^{2} [/tex]

[tex]s.a = 6 \times {5}^{2} [/tex]

[tex]s.a = 150 \: {in}^{2} [/tex]

hence, the surface area of the given cube is 150 square inches.

P(Head, Diamond AND Head, Heart) = ?

Answers

The probability of drawing a head card of diamonds and then a head card of hearts is:

P = 0.003

How to find the probability?

Here we assume that we have a deck of 52 cards, and we want to find:

P(Head, Diamond AND Head, Heart)

This is the probability of drawing a head of diamonds and then a head of hearts.

Remember that for each suit has 3 head cards, J, Q, and K.

Then for the first card, the probability of getting a head of diamonds is equal to the quotient between the number of cards with these properties (3) and the total number of cards (52).

P = 3/52

Then we need to draw a head of hearts, the probability is computed in the same way, but before we drew a card, so now the total number of cards is 51, so we get:

Q = 3/51

Then the joint probability is:

p = (3/52)*(3/51) = 0.003

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HELP QUICK ILL GIVE BRAINLEST

Answers

Answer:

C) 15, 20, 25

Step-by-step explanation:

If you plug this in pythagorean theorem, it works. The others don't.

I need help with this pls!!

Answers

Answer:

Second choice

Step-by-step explanation:

This is a circle with center at   0,0

 radius = sqrt 100 = 10

Can anyone explain how to work this equations pls?

Answers

Answer:

[tex]\frac{3}{y^{2} }[/tex]

Step-by-step explanation:

This question is asking you to simplify using the law of indices:

Just to write out the question in fraction form:

[tex]\frac{12y^{7} }{4y^{9} }[/tex]

Cancel out the 4:

[tex]\frac{3y^{7} }{y^{9} }[/tex]

Cancel out y^7:

[tex]\frac{3}{y^{2} }[/tex]

Hope this helped and brainliest please

Answer:

3/y^2

Step-by-step explanation:

1. Rewrite the division as a fraction.

= 12y^7/4y^9

2. Cancel the common factor of 12 and 4

= 4(3y^7)/4y^9

= 3y^7/y^9

3. Cancel the common factor of y^7 and y^9

= y^7 ⋅ 3/y^9

= 3/y^2

Find the area of the parallelogram.


Answers

Answer: 25 in.

Step-by-step explanation:

A = bh

A = 5 x 5

A = 25

The answer is 25 inches as
A:bh
A:5x5
A:25
Hope this helps

x+4>3
Help, solve for x, give the interval notation...

Answers

Solution:

[tex]x > - 1[/tex]

[tex]\huge\mathfrak\colorbox{white}{}[/tex]

Interval Notation:

x ∈ (-1,∞)

What is the value of S? Please hurry-

Answers

Answer:  8 root 2 or 11.3

Step-by-step explanation:

square 16 and divide by two to find square of other sides. Then root it to find answer

How do you do division/long division? I was never taught how, and now I am struggling with it. Please answer thoroughly, thanks <3

Answers

Answer:

See attached picture for example, hope it helps!

Step-by-step explanation:

Answer:Watch How to do long division (step by step) | 1 digit divisors

Step-by-step explanation:

How to do Long Division (Step by Step) | 1-Digit


19-29 find the derivative of the function using the definition of derivative. state the domain of the function and the domain of its derivative.
19. [tex]f(x)=3 x-8[/tex]

Answers

Answer:

The derivative of that function is 3x.

The domain of f(x) = x∈ℝ

The domain of f(x) is also x∈ℝ

Step-by-step explanation:

25. Write interval notation for the set​

Answers

In interval notation, square brackets indicate that a function can take on that value (or uses a less/greater than or equal to sign). Parenthesis indicate that a function cannot take on that value (or uses a less/greater than sign).

In the case of the given set, both inequality signs are less/greater than or equal to. This indicates to us that we will use brackets in both instances because the set can be equal to -2 and 2.

Answer: [-2,2]

Answer Choice: D

Hope this helps!

Marcus deposited his paycheck in the amount of $625.84. he’ll use the check register to record his transaction. what will be his new balance?

Answers

Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.

What is the paycheck about?

A pay check is known to be a cheque that is given to a person for a job done.

Note that Marcus Beginning balance: $640.31

He then Deposit of : $625.84

When you add both together,

His New Balance will be: $1,266.15

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Answer:

$1,266.15.

Step-by-step explanation:

edge

SOMEONE HELP ME PLEASEEE

Answers

Answer:

2

Step-by-step explanation:

First, you have to find the change in the sides you know the numbers of. 21/3 is 7, so it's being increased/decreased by 7 units. Now, just divide 14 by 7 to get your answer (2).

Hope this helps!

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