r f(x)
--2-1
-11-3
0-5
1-7
Which function rule defines f(x)?

R F(x)--2-1-11-30-51-7Which Function Rule Defines F(x)?

Answers

Answer 1

Answer:

B. f(x) = -2x - 5

Step-by-step explanation:

✔️Find the rate of change:

Rate of change using two of the given pair, say (0, -5) and (1, -7)

Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2

✔️Find y-intercept (b):

y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.

✔️Substitute m = -2 and b = -5 into f(x) = mx + b

Thus,

f(x) = -2x + (-5)

f(x) = -2x - 5


Related Questions

what is the square root of 64

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8x8=64 so √64=8. hope this helps!

Someone please help me ASAP

Answers

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer these please. :0

Answers

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

Find the value of k please

Answers

You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.

plssssss someone help pls pls pls i dont get this look
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 4(m∠Y) − 160°. Find m∠Y

Answers

Answer:

I think the answer is 50.

Step-by-step explanation:

Y + S = 90

S = 4 (Y) - 160

160 = 4 (Y)

Y = 40

90 - 40 = 50

Hope it's correct and helps!

Which of the following is an example of a reserved power?

A. raising and maintaining a navy

B. declaring war and governing combat

C. establishing and funding a system of public education

D.coining money and fixing the standards of weights and measures

Answers

Answer:

B

Step-by-step explanation:

Clark typed 720 words in 18 minutes. How many words can he type in one minute?​

Answers

Answer:

Clark can type 40 words in one minute

Step-by-step explanation:

Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex]  Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40

I hope this helps!

720/18 = 40

He can type 40 words a minute

Needing some help please

Answers

Answer: Should be (4,0)

Step-by-step explanation:

There are 23 students in ms day”s class. Only 17 students are present today use the model to find A the number of students that are absent

Answers

Answer:

6 students are absent.

Someone please help and explain will mark brainliest

Answers

Answer:

Lee earns 2x.

They both earn 3x.

Step-by-step explanation:

If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.

Suppose f(x)=x+2. Find the graph of f(1/3x)

Answers

Answer:

f(x)=x+2.

f(1/3x)=1/3 x+2=(x+6)/3or x/3+2

Answer:

graph 3

Step-by-step explanation:

Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?

Answers

Answer:

If he deposited weekly, he would be depositing 9 dollars each week.

Step-by-step explanation:

Just thank me later and click the crown at the top of this answer if it helped ;)

Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers

Answers

Answer:

She decided to survey each other child instead of every child

Step-by-step explanation:

Sorry if im wrong

Answer:

so if you have a multie chose it would be A D E

Step-by-step explanation:

Help me solve this pls

Answers

I think the answer is b

.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50

Answers

Answer: The answer of your over all grade is 81

Step-by-step explanation:

You do the % then you add them together.

like in this picture  

HELP ME FAST PLSSS<3

A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)

Answers

Answer: 8 servings

Step-by-step explanation:

1/2 cup + 1/2 cup = 1 cup

                                              >  1 cup + 1 cup = 2 cups = one pint

1/2 cup + 1/2 cup = 1 cup

if 4 servings go in one pint then 8 servings goes in 2 pint

Answer:

8 cups/servings.

Explanation:

Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.

simplify the expression :
1.7h - 8.9 + 3

Answers

Answer:

1.7h - 5.9

Step-by-step explanation:

Combine the like terms -8.9 and 3 to get -5.9. Since it's negative, you subtract.

1.7h - 8.9 + 3 = 1.7h (-8.9 + 3) = 1.7h + 5.9

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?

Answers

-16.2! Hope it’s right sorry if it’s not!!!
9%. 180000x9%=196200

A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle

Answers

Answer:

12 inches

Step-by-step explanation:

1. The diagonal is the hypotenuse of the right triangle.  so since we know one side length, we can figure out the other side length

1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12

7 4 9 as an improper fraction

Answers

67/9

shehsjwhwbsvwhwhw

Find an equation in point slope form for the line haveing the slope m=-3 and containing the point (6 7)

Answers

Answer:

7-y=-3(6-x)

Step-by-step explanation:

Point slope form:

[tex]y-y_{1} = m(x-x_{1} )[/tex]

Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.

7-y=-3(6-x)

how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1) – 2g(-2)​

Answers

3x that answers end of the yearrr

1. -3(-2-4-0)+3-(3-5-7)=

Answers

Answer: The answer is 18

Answer:

[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]

A fair coin is flipped three times. Let X be the number of heads observed. (a) Give both the possible values and probability mass function of X. (b) Find P(X ≥ 1) and P(X > 1). (c) Compute E[X] and V ar(X).

Answers

Answer:

a)

The possible values are 0, 1, 2 and 3.

The probability mass function of X is:

P(X = 0) = 0.125

P(X = 1) = 0.375

P(X = 2) = 0.375

P(X = 3) = 0.125

b)

[tex]P(X \geq 1) = 0.875[/tex], [tex]P(X > 1) = 0.5[/tex]

c) E(X) = 1.5, Var(X) = 0.75

Step-by-step explanation:

For it time the coin is flipped, there are only two possible outcomes. Either it comes up heads, or it comes up tails. Each toss is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

A fair coin is flipped three times.

This means that [tex]n = 3[/tex]

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = \frac{1}{2} = 0.5[/tex]

a) Give both the possible values and probability mass function of X.

The possible values are from 0 to n, so 0, 1, 2 and 3.

The probability mass function is the probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125[/tex]

[tex]P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375[/tex]

[tex]P(X = 2) = C_{3,2}.(0.5)^{2}.(0.5)^{1} = 0.375[/tex]

[tex]P(X = 3) = C_{3,0}.(0.5)^{3}.(0.5)^{0} = 0.125[/tex]

(b) Find P(X ≥ 1) and P(X > 1).

[tex]P(X \geq 1) = P(X = 1) + P(X = 2) + P(X = 3) = 0.375 + 0.375 + 0.125 = 0.875[/tex]

[tex]P(X > 1) = P(X = 2) + P(X = 3) = 0.375 + 0.125 = 0.5[/tex]

(c) Compute E[X] and Var(X).

[tex]E(X) = np = 3*0.5 = 1.5[/tex]

[tex]Var(X) = np(1-p) = 3*0.5*0.5 = 0.75[/tex]

This is classwork and i don't understand it at all PLEASE HELP

Answers

Answer:

The independent variable is the number of cars

the band washes and the dependent is the number of money they earn

Step-by-step explanation:

Doreen Schmidt is a chemist

Answers

Answer:

that isnt a question but good to know! :)

Step-by-step explanation:

okay


thanks for the answer ig

If you answer your the G.O.A.T. Pleaseeeeeeeee somebody answer

Answers

Answer:

[tex]8 - 10 = -2[/tex]

[tex]-20 - 10 = -30[/tex]

[tex]-2 - (-19) = 17[/tex]

[tex]-25 -35=-60[/tex]

Step-by-step explanation:

(a)

[tex]8 - 10[/tex]

Rewrite as addition:

[tex]8 - 10 = 8 + (-10)[/tex]

[tex]8 - 10 = -2[/tex]

(b):

[tex]-20 - 10[/tex]

Rewrite as addition:

[tex]-20 - 10 = -20 + (-10)[/tex]

[tex]-20 - 10 = -30[/tex]

(c)

[tex]-2 - (-19)[/tex]

Rewrite as addition:

[tex]-2 - (-19) = -2 +19[/tex]

[tex]-2 - (-19) = 17[/tex]

(d)

[tex]-25 -35[/tex]

Rewrite as addition:

[tex]-25 -35=-25 +(-35)[/tex]

[tex]-25 -35=-60[/tex]

Explain answer !

( Will give brainlst)

Answers

Pi = 3.142...
1/4 = 0.25
Root 3 = 1.732...
So smallest to biggest: 1/4, root 3, Pi
pie is equal to 3.14, 1/4 is equal to .25, and the square root of 3 is 1.7321

so from least to greatest it would be ordered,

1/4, square root of 3, and pie.

-20 greater than or equal to 5w

Hurry!!!

Answers

w = -4 or more because -4 times 5 equals -20.
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