The quotient is -16.4

Apply the fraction rule:

Divide the numbers: 

The quotient rule is a calculus technique for determining the derivative or differentiation of a function that is represented as a division or ratio of two differentiable functions.
Therefore, we can apply the quotient method to get the derivative of a function of the form f(x)/g(x), where f(x) and g(x) are both differentiable functions and g(x) ≠ 0. The quotient rule immediately follows the product rule and the notion of limits of derivation in differentiation.
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Answer:
1/25
Step-by-step explanation:
f(x)=5^x
Let x = -2
f(-2)=5^-2
We know that a^-b = 1/a^b
= 1/5^2
= 1/25
If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.
First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept
y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b
y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct
Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5
5+2t because 5 more then is adding 5 and twice as many is doubling or multiplying by 2
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