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levacccp [35]
3 years ago
13

What is the y-intercept of f–1(x)?

Mathematics
1 answer:
wolverine [178]3 years ago
8 0

Answer:

-16

Step-by-step explanation:

The given linear function is ; f(x)=\frac{3}{4}x+12

Let y=\frac{3}{4}x+12.

We interchange x and y.

x=\frac{3}{4}y+12.

We solve for y.

x-12=\frac{3}{4}y.

We now multiply through by \frac{4}{3} to get:

\frac{4}{3}x-12\times\frac{4}{3}=y.

This simplifies to;

y=\frac{4}{3}x-16.

Hence f^{-1}(x)=\frac{4}{3}x-16.

The y-intercept is -16

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ANSWER ONLY TO ASSIGNMENT QUESTION:
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Answer:

ANSWER IS B:

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Step-by-step explanation:

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3 years ago
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If cos 0=2/3, what are the values of sin 0 and tan 0?
morpeh [17]

Answer:

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

■■■■■■■■■■■■■■■■■■■■■■■■■

●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

4 0
3 years ago
-(x+6)-12=36 help me! Please
zmey [24]

Answer:

x=42

Step-by-step explanation:

-(42+6)-12=36

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3 years ago
Which ordered pair (p,r) is the solution to the given system of linear equations?
Misha Larkins [42]

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

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p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

8 0
3 years ago
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