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Pavel [41]
3 years ago
5

F(x) = -x2 + 3x + 13 Find f(-10)

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0
-(-10)2+3(-10)+13
(10)2+3(-10)+13
20+-30+13
f(-10)=3
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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
A recipe use 5 cups of flour for every 2 cups of sugar .a.how much sugar is used for 1 cup of flour? b.how much flour is used fo
zheka24 [161]

Answer:

1 cup of sugar per 2.5 cups of flour.

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17.5 cups of flower is used with 7 cups of sugar.

1.6 cups of sugar is used with 6 cups of flour.

Step-by-step explanation:

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Step-by-step explanation:

8 0
4 years ago
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Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...
Dmitry [639]

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

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To find the 100th term, substitute n = 100

n_{100} = 34 +100

n_{100} =134

Correct option is B

5 0
3 years ago
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