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Tom [10]
3 years ago
8

Line p passes through A(-2, -4) and has a slope of - 1/2

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0
M = -1/2
(x₁, y₁) = (-2,-4)

Find the equation
y - y₁ = m(x - x₁)
y - (-4) = -1/2 (x - (-2))
y + 4 = -1/2 (x + 2)
2(y + 4) = -1 (x + 2)
2y + 8 = -x - 2
x + 2y = -10
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Given f(x) = x^2 - 2x - 15 find the average rate of change over the interval [0, 5].
NemiM [27]

Answer:

Average Rate of Change : 3

Step-by-step explanation:

" Remember that the average rate of change of function f say, on interval [a,b] would be f(b) - f(a) / b - a. Similarly we can solve for the average rate of this function. "

f(5) = x² - 2x - 15 = 5² - 2(5) - 15 = 25 - 10 - 15 = 0,

f(0) = 0² - 2(0) - 15 = 0 - 0 - 15 = - 15

And the average rate of change will be,

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= 0 + 15 / 5 = 15 / 5 = 3

The average rate of change over the interval [0, 5] is hence 3.

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3 years ago
Solve for x. −(−2−5x)+(−2)=18 1. x=−90 2. x=18/5 3. x=90 4. x=−18/5
Naya [18.7K]

-(-2-5x)+(-2)=18\\\\-(-2)-(-5x)-2=18\\\\2+5x-2=18\\\\5x=18\qquad|:5\\\\\boxed{x=\dfrac{18}{5}\to 2.}

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