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2 years ago

13

I NEED HELP PLEASE!!!!

1 answer:

Salsk061 [2.6K]2 years ago

8 0

Answer: $y-3=-1.5\left(x+1\right)$

Step-by-step explanation:

1) Find Slope: $m=\frac{-3-3}{3+1} =-1.5$

2) Write the point-slope form equation (Answer): $y-3=-1.5\left(x+1\right)$

3) Graph:

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Mr. Herrera is going to

Mnenie [13.5K]

Answer:

Mr. Herrera will hike 78 miles on 6th day.

Step-by-step explanation:

Given:

Number of miles Mr. Herrera will hike in 9 days = 117 miles

Total Number of days =9 days

Let us first find the number of miles he will hike in 1 day

By Using Unitary method we get,

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7 0

3 years ago

Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and

Ray Of Light [21]

Answer:

A. $g'(3)=-\frac{1}{2}$

Step-by-step explanation:

We have been given that f be a differentiable function such that $f(3)=15$ , $f(6)=3$ , $f'(3)= -8$ , and $f'(6)= -2$ . The function g is differentiable and $g(x)= f^{-1} (x)$ for all x.

We know that when one function is inverse of other function, so:

$g(f(x))=x$

Upon taking derivative of both sides of our equation, we will get:

$g'(f(x))*f'(x) =1$

$g'(f(x))=\frac{1}{f'(x)}$

Plugging $x=6$ into our equation, we will get:

$g'(f(6))=\frac{1}{f'(6)}$

Since $g(x)= f^{-1} (x)$ , then $g'(f(6))=g'(3)$ .

$g'(3)=\frac{1}{f'(6)}$

Since we have been given that $f'(6)= -2$ , so we will get:

$g'(3)=\frac{1}{-2}$

$g'(3)=-\frac{1}{2}$

Therefore, $g'(3)=-\frac{1}{2}$ and option A is the correct choice.

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3 years ago