The answer for the question I don't know how to slove it

The table shows various values of a linear function f (x).

mojhsa [17]

The value of f –1(13) is 4

<h3>How to determine the inverse value?</h3>

The table of values is given as:

x –4 0 2 5 9 13

f (x) –11 1 7 16 28 40

A linear function is represented as:

y = mx + b

Where b represents the y-intercept and m represents the slope

From the graph, when x = 0, y = 1.

This means that b = 1

So, we have

y = mx + 1

Also from the graph, when x = 2, y = 7.

So, we have:

7 = 2m + 1

Subtract 1 from both sides

7 - 1 = 2m + 1 - 1

Evaluate the difference

6 = 2m

Rewrite the above equation as:

2m = 6

Divide both sides of the equation by 2

m = 3

Substitute m = 3 in y = mx + 1

y = 3x + 1

The notation f –1(13) implies that y = 13

So, we have

13 = 3x + 1

Subtract by 1

3x = 12

Divide by 3

x = 4

Hence, the value of f –1(13) is 4

Read more about linear functions at:

brainly.com/question/4025726

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4 0

2 years ago

For brainiest:):):):):):)

eimsori [14]

#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8

3 0

3 years ago

Find the horizontal asymptote of the graph of y = -4x^6 + 6x + 3/8x^6 + 9x + 3

Llana [10]

Option B : $y=-\frac{1}{2}$ is the horizontal asymptote.

Explanation:

The function is $y=\frac{-4 x^{6}+6 x+3}{8 x^{6}+9 x+3}$

The horizontal asymptote can be determined by

$y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$

Thus, from the function, the leading coefficient of numerator is -4

The leading coefficient of denominator is 8

Thus, substituting the values in the formula $y=\frac{leading \ coefficient \ of \ numerator}{leading \ coefficient \ of \ denominator}$ , we get,

$y=\frac{-4}{8}$

Dividing, we get,

$y=\frac{-1}{2}$

Thus, the horizontal asymptote is $y=\frac{-1}{2}$

Hence, Option B is the correct answer.

4 0

4 years ago

A circle has center at (7, 0). What is the equation of the line that is tangent to the circle at (2, 0)?

IgorC [24]

First find equation
center is (h,k) then
(x-h)^2+(y-k)^2=r^2
given
(7,0) is center
(x-7)^2+y^2=r^2
also given (2,0)
(2-7)^2+0^2=r^2
(-5)^2=r^2
25=r^2

(x-7)^2+y^2=25 is equation

take derivitive of both sides, implicit differntiaton
2(x-7)+2y dy/dx=0
2(x-7)=-2y dy/dx
(7-x)/y=dy/dx
at (2,0)
(7-2)/0
undefined
that means the line is x=something
(2,0)
the equation is x=2

7 0

4 years ago

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they

FinnZ [79.3K]

Answer:

<u>The rate per hour of the 1st mechanic is US$ 115, and the rate of the 2nd mechanic is US$ 120.</u>

Step-by-step explanation:

1. Let's review all the information given to answer the question correctly.

Time of the 1st mechanic working on the car = 20 hours

Time of the 2nd mechanic working on the car = 5 hours

Total rate of the work done by the two mechanics = US$ 2,900

2. What was the rate charged per hour by each mechanic if the sum of the two rates was 235 per hour?

Rate per hour of the 1st mechanic = x

Rate per hour of the 1st mechanic = 235 - x

For solving the value of x, we will use the following equation:

x * 20 + 5 * (235 - x) = 2,900

20x + 1,175 - 5x = 2,900

15x = 2,900 - 1,175 (Like terms)

15x = 1,725

x = 115 (Dividing by 15 at both sides)

<u>The rate per hour of the 1st mechanic is US$ 115, therefore the rate of the 2nd mechanic is US$ 120 (235 - 115).</u>

Total charged by the 2 mechanics = 115 * 20 + 120 * 5

Total charged by the 2 mechanics = 2,300 + 600

Total charged by the 2 mechanics = 2,900

5 0

3 years ago