what is the inverse of the function f(x) equals 1/9 X +2

Answer with Step-by-step explanation:

We are given that a function

[tex]f(x)=x^3-x^2-17x-15[/tex]

We have to find the graph of the given function.

y-intercept:It is that  value of y where the graph cut the y- axis.

Let

[tex]y=f(x)=x^3-x^2-17x-15[/tex]

Substitute x=0

Then, we get

[tex]f(0)=-15[/tex]

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

[tex]x^3-x^2-17x-15=0[/tex]

Substitute x=-1

[tex]-1-1+17-15=0[/tex]

Therefore,x=-1  is a solution of given equation.

[tex](x+1)(x^2-2x-15)=0[/tex]

[tex](x+1)(x^2-5x+3x-15)=0[/tex]

[tex](x+1)(x(x-5)+3(x-5))=0[/tex]

[tex](x+1)(x+3)(x-5)=0[/tex]

[tex]\implies x=-1,-3,5[/tex]

Hence, the x-intercept are

-3,-1 and 5

Answer:b on edg 2020

Step-by-step explanation:

Answer: It starts at 2.5, and ends at 8.5.

Step-by-step explanation:

Answer:

range = 6

Step-by-step explanation:

The range = maximum value - minimum value

maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )

range = 8.5 - 2.5 = 6

Answer:

Hey love, be sure to add a photo! i will edit my answer once you do so :D

Answer:

10$

Step-by-step explanation:

math

Answer:

10

Step-by-step explanation:

because i know

Answer:

c. the dangerous and aggressive expansion of totalitarian nation

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

[tex]1/12 \times 3/4[/tex]

[tex]3/48[/tex]

[tex]=1/16[/tex]

1/16 ft^2

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

C

Step-by-step explanation:

The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.

I hope that helps. If there are any questions left, just comment:)

Please mark me brainliest (it gets you 10 points back btw)

Answer:

Histogram

Step-by-step explanation:

A histogram because it's more appropriate to calculate numbers like these. Unfortunally I can't make a whole graph for you tho but if you want an example of histogram this is one

Answer:

a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]

Step-by-step explanation:

[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]

Answer:

Triangle

Step-by-step explanation:

Pls mark as brainliest

Answer:

triangle

Step-by-step explanation:

The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer

The value of X is 22

look at the attached picture

Hope it will help you

Good luck on your assignment

The value of x in the equation is 22.

In order to determine the value of x in the equation, take the following steps:

To learn more about addition, please check: https://brainly.com/question/349488

Answer:

Step-by-step explanation:

volume of cylinder =[tex]\pi r^{2} h[/tex]

=3.14 * 2*2*8

=3.14*32

=100.48 cubic in

hope it helps .....

The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Since the height of 8in and a base radius of 2in,

So here the following formula should be used

We know that

Volume of the cyclinder

[tex]= \pi r^2h\\\\= 3.14\times 2\times 2\times 8\\\\[/tex]

= 100.48 cubic inches.

hence, The volume in cubic in, of a cylinder when a height of 8in and a base radius of 2in should be 100.48 cubic inches.

Learn more about volume here: https://brainly.com/question/14010084

Answer:

D: $1,858.08

Step-by-step explanation:

if u add $1,329.64 and $528.44 then you get $1,858.08

Answer:

D.

Step-by-step explanation:

(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

A relation is a function if it has only One y-value for each x-value.

The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.

As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.

Therefore, the range of the function is all real numbers, that is:

y ∈ (-∞, ∞)

In interval notation, this can be written as (-∞, ∞)

Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ7

Answer:

Answer A

Step-by-step explanation:

16 / 4 = 4

36 / 9 = 4

64 / 16 = 4

Note that the symbol / is the equivalent of the division sign in math.

Answer:

A <3

Step-by-step explanation:

Answer:

The total payment is $162.00

Step-by-step explanation:

Take the number of shares time the amount per share

300 * .54

162

The total payment is $162.00

Answer:

Scale = 1/200 = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Step-by-step explanation:

Scale is the ratio of the original object to the drawn plan.

Scale = plan : original

Scale = plan length ÷ original length

Plan length = 7.5 centimeters

Original length = 1.5 meters = 1,500 centimeters

Substituting the values;

Scale = 7.5/1500 = 1/200

Scale = 1 : 200

Therefore, 1 centimeter on the plan represent 200 centimeters on the original length.

Answer:

h(-2) = 1

Step-by-step explanation:

h(t)=t^2+2t+1

h(-2) = (-2)^2 +2(-2) +1

       = 4 -4 +1

      = 1

Answer:

-12

Step-by-step explanation:

Answer:

The answer is 88.

Step-by-step explanation:

68+81+74+89+x/5=80

312+x/5=80

312+x=80*5

312+x=400

x=400-312

x=88

Answer:

88

Step-by-step explanation:

The mean is the total sum of all the marks divided by how many there are.

68+81+74+89=312 Total of 4 tests

80×5 = 400 Total marks on 5 tests

400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test

68+81+74+89+88 = 400

Answer:

B

Step-by-step explanation:

hexagonal pyramid

6 SIDES,

A PYRAMID

Answer:

[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

Answer:

Oscar walked at the same rate for distance D =  10.5 miles.

He  completed his walk in time T = 3 hours.

=>Oscar's rate, in miles per hour, during his walk:

R = D/T = 10.5/3 = 3.5 (mile/hour)

Hope this helps!

:)

Answer:

5

Step-by-step explanation:

Answer:

1)  C)[tex]\sqrt{149}[/tex]

2) A) Yes

Step-by-step explanation:

Answer:

(x+2)^2=6(y-1/2)

Step-by-step explanation:

Answer:

[tex]\frac{27}{125}[/tex] or 0.216

Step-by-step explanation:

Assuming you meant 3 × (√81) ÷ 125 =

3 × 9 ÷ 125 =

27 ÷ 125 = [tex]\frac{27}{125}[/tex] = 0.216

Answer:

425 in.^3

Step-by-step explanation:

volume = length * width * height

Change all mixed numerals into decimals.

volume = 12.5 in. * 8.5 in. * 4 in.

Now use a calculator to multiply the three numbers together.

volume = 425 in.^3

Answer:

His profit from mowing x lawns is 19x-15

Step-by-step explanation:

Revenue for mowing x lawns = 25x

Cost for gas and the mower rental = 6x+15

We are supposed to find His profit from mowing x lawns

p(x) denotes His profit from mowing x lawns

Profit = Revenue - Cost

So,p(x)=25x-(6x+15)

p(x)=25x-6x-15

p(x)=19x-15

So, Option B is true

Hence His profit from mowing x lawns is 19x-15

Answer:

The equations are:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Step-by-step explanation:

The ideal length of the bolt is 2.0 cm, since it has a tolerance of 4%, this means that length values between [tex]2 + \frac{4}{100}*2[/tex] and [tex]2 - \frac{4}{100}*2[/tex] are acceptable, because by those expressions the length of the bolt will be 4% higher or lower than it's original length. With this in mind let's find it's values:

[tex]\text{shortest} = \text{length} - \frac{\text{tolerance}}{100}*\text{length}\\\text{shortest} = 2 - \frac{4}{100}*2 = 1.92\\\text{longest} = \text{length} + \frac{\text{tolerance}}{100}*\text{length}\\\text{longest} = 2 + \frac{4}{100}*2 = 2.08\\[/tex]

Answer:

[tex]\frac{15x-5}{5x+6}[/tex]

Step-by-step explanation:

Given

f(x) = [tex]\frac{3x-5}{x+6}[/tex]

To evaluate f(5x) substitute x = 5x into f(x)

f(5x) = [tex]\frac{3(5x)-5}{5x+6}[/tex] = [tex]\frac{16x-5}{5x+6}[/tex]