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3 years ago

Average rate of change

Mathematics

1 answer:

Ganezh [65]3 years ago

7 0

Answer:

The average rate of change in that space would be 12.

Step-by-step explanation:

To find this, use the two ordered pairs (-1, 3) and (1, 27) in the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (27 - 3)/(1 - -1)

m = 24/2

m = 12

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Write (8a-^3) -2/3 in simplest form

Anna71 [15]

$(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

Solution:

Given that,

$(8a^{-3})^{\frac{-2}{3}$

We have to write in simplest form

Use the following law of exponent

$(a^m)^n = a^{mn}$

Using this, simplify the given expression

$(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}$

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8 0

3 years ago

NEED HELP!!!!!!!!!!!!!

solniwko [45]

Answer:

5x - 4

Step-by-step explanation:

4x - 2 + x - 2

simplify

5x - 4

hope this helps <3

8 0

2 years ago

Which table shows a proportional relationship between x and y? please help and answer quick plz

gavmur [86]

The answer is c.

(a)

x * 2 = y
2 * 2 = 4
3 * 2 = 6
4 * 2 = 8 not 9

(b)

unknown formula

(c)

x * 3 = y
4 * 3 = 12
5 * 3 = 15
6 * 3 = 18

(d)

x * 4
1 * 4 = 4
2 * 4 = 8
3 * 3 = 9 not 15

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3 years ago

Randy is painting part of a wall, excluding the two corners shown in white. a gallon of white paint will cover 100 sqaure feet.

uysha [10]

Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

What is the area of rectangle?

The area of a rectangle is the product of its length and width. That is, A = l x w where l is the length and w is the width of the rectangle.

Here, Required Paint = $20 X \frac{37}{4} - 2 X \frac{1}{2}X6 X 6\\$

= 5 X 37 - 36

= 185 - 36

= 149

= 1.49 gallons

Thus, Randy needs to purchase 1.49 Gallons of paint to cover 100 sq. feet wall.

Learn more about Area of Rectangle from :

brainly.com/question/20693059

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2 years ago

In 20 years, Finn will be 3 times as old as he is right now. How old is he right now?

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