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enyata [817]
3 years ago
13

What is the slope of the line that passes through the points (6, -5) and (6, -8)?

Mathematics
1 answer:
Anni [7]3 years ago
4 0
(6,-5) (6,-8)

y2-y1/x2-x1

-8+5/6-6

-3/0

Undefined should be the answer. Hope this helped (:
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If f(x)=2x^2+(1000/x), find the average rate of change of f(x) from x=a to x=a+h.
galina1969 [7]

Answer:

\frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} is your average rate of change,

Step-by-step explanation:

average rate of change is

\frac{f(a+h)-f(a)}{a+h-a}, by slope formula

simplify this to get \frac{f(a+h)-f(a)}{h}, which is the definition of the derivative as h goes to 0

\lim_{h \to 0} \frac{f(a+h)-f(a)}{h}

since you defined x=a, we can substitute a for x and vice versa to find our derivative.

\lim_{h \to 0} \frac{(2x^2+\frac{1000}{x+h})-(2x^2+\frac{1000}{x})}{h}

simplifying

\lim_{h \to 0} \frac{\frac{1000}{x+h}-\frac{1000}{x}}{h} (your average rate of change)

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3 years ago
Find the GFC of 32 and 42
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