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3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 5?

1 answer:

6 0

$\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^2-1\qquad \begin{cases} x_1=0\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(0)}{5-0} \\\\\\ \cfrac{[2(5)^2-1]~~-~~[2(0)^2-1]}{5}\implies \cfrac{50-(-1)}{5}\implies \cfrac{50+1}{5}\implies \cfrac{51}{5}\implies 10\frac{1}{5}$

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QveST [7]

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3 years ago

V= 2i +9j Find ||9v||

Korvikt [17]

Answer:

9 $\sqrt{85}$

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = $\sqrt{18^2+81^2}$ = $\sqrt{x6885}$ = 9 $\sqrt{85}$

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3 years ago

3.2 geometry worksheet

alekssr [168]

Answer/Step-by-step explanation:

5. 21x + 4 = 22x - 2 (corresponding angles)

Collect like terms

21x - 22x = -4 - 2

-x = -6

divide both sides by -1

x = 6

6. (x + 72) + (x + 132) = 180 (linear pair)

x + 72 + x + 132 = 180

Add like terms

2x + 204 = 180

2x = 180 - 204

2x = -24

x = -12

7. 90 = 22x + 2 (vertical angles)

90 - 2 = 22x

88 = 22x

Divide both sides by 22

4 = x

x = 4

8. 12x + 10 = 13x + 3 (vertical angles)

Collect like terms

12x - 13x = -10 + 3

-x = -7

Divide both sides by -1

x = 7

9. 17x = 16x + 5 (alternate exterior angles)

17x - 16x = 5

x = 5

✔️17x

Plug in the value of x

17(5) = 85°

10. 21x - 6 = 20x (corresponding angles)

Add like terms

21x - 20x = 6

x = 6

✔️20x

20(6) = 120°

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3 years ago

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Drupady [299]

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Step-by-step explanation:

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2 years ago

Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What

lara31 [8.8K]

Well, the formula for simple interest is

$I=prt$

"I" is interest, "p" is the principal, "r" is the rate, and "t" is the time.

If you substitute the numbers, you get

$I=1,000(0.06)(3.5)$

When you multiply them together, you get

$I=210$

So, the simple interest for 3.5 years is $210.

But, in order to get the total balance, you have to add the interest and the principal together.

$B=1000+210 \\ B=1210$

So, the balance after 3.5 years is $1,210.

5 0

3 years ago

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