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3 years ago

15

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

1 answer:

AURORKA [14]3 years ago

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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The larger of 2 numbers is 23 greater than the smaller. Their sum is 28 less than 3 times the smaller number. Find the numbers

navik [9.2K]

Answer: 62

Step-by-step explanation:

7 0

3 years ago

Solve for x. 3x - 1 = 27 x = 10 x = 28/3 x = 26/3

frutty [35]

Answer:

x = 28/3

Step-by-step explanation:

3x - 1 = 27

Add 1 to each side

3x - 1+1 = 27+1

3x = 28

Divide by 3

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6 0

2 years ago

8+7×6/3x3 please help me with the question.

Leto [7]

Answer:

50

Step-by-step explanation:

must use PEMDAS (order of operations)

step 1: multiply 7 and 6

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step 2: divide 42 by 3

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step 3: multiply 14 and 3

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Add to get 50

7 0

3 years ago

Read 2 more answers

Given a mean of 24.5 and a standard deviation of 1.7 what is the z score of the value 24 rounded to the nearest tenth?

Softa [21]

The correct answer is B) -0.3

Z-scores are found using the formula

z = (X-μ)/σ

For this problem, we have

z = (24-24.5)/1.7 = -0.5/1.7 = -0.3

3 0

3 years ago

- What is the complete factorization of 4x2 – 24xy + 36y2 ?

Rzqust [24]

<u>Answer: </u>

The complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

<u>Solution:</u>

Given Data:

$4 x^{2}-24 x y+36 y^{2}$

Take common value in all the three term.so we take 4 as common term in the above expression

$4 x^{2}-24 x y+36 y^{2}=4\left(x^{2}-6 x y+9 y^{2}\right)$

Now factorize the expression $\left(x^{2}-6 x y+9 y^{2}\right)$

Find the two numbers, whose product should be 9 and sum should be -6.

-3,-3 are the numbers which satisfy the above condition.

When we add -3-3=Sum is 6

Product of -3 $\times$ -3= 9

-3 , -3 satisfies the condition.

So the expression will become as $x^{2}-6 x y+9 y^{2}$ = $x^{2}-3 x y-3 x y+9 y^{2}$

Take the common term

x(x-3y)+3y(x-3y)

(x-3y)(x+3y)

hence the complete factorization of $4 x^{2}-24 x y+36 y^{2}$ are 4(x-3y)(x+3y)

5 0

3 years ago