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Rina8888 [55]
3 years ago
14

What is the slope of a line perpendicular To Y= -3x-4

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

1/3

Step-by-step explanation:

the multiplication of 2 lines perpendicular is - 1

then if x is the slope you are looking for

x * - 3 = - 1

x = 1/3

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Answer:

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2 years ago
Let f(x)=x2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4?
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Answer:

The average rate of change for f(x) from x=−1 to x = 4 is, 1

Step-by-step explanation:

Average rate A(x) of change for a function f(x) over [a, b] is given by:

A(x) = \frac{f(b)-f(a)}{b-a}

As per the statement:

f(x) = x^2-2x-4

we have to find the average rate of change from x = -1 to x = 4

At x = -1

f(-1) = (-1)^2-2(-1)-4 = 1+2-4 = -1

and

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f(4) = (4)^2-2(4)-4 = 16-8-4 = 4

Substitute these in [1] we have;

A(x) = \frac{f(4)-f(-1)}{4-(-1)}

⇒A(x) = \frac{4-(-1)}{4+1}

⇒A(x) = \frac{5}{5}

Simplify:

A(x) = 1

Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1

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