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3 years ago

Distribute 2 (9x^2 + 3).

Mathematics

1 answer:

beks73 [17]3 years ago

5 0

Answer:

18x^2+6

Step-by-step explanation:

2(9x^2+3)

multiply each term in parentheses by 2

2 x 9x^2+2 x 3

calculate product

18x^2+2 x 3

multiply numbers

18x^2+6

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ALGEBRA 2 FINALS

stepan [7]

Answer:

Step-by-step explanation:

2+2+2+2 = 8

8 0

3 years ago

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

iVinArrow [24]

Answer:

$m = 3b+6$

Step-by-step explanation:

Given

$f(x)=3x^2 - 9$

Required

The average rate over $[2,b]$

Average rate (m) is calculated using:

$m = \frac{f(b) - f(a)}{b - a}$

Where

$[a,b] = [2,b]$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

Calculate f(b) and f(2)

$f(x)=3x^2 - 9$

$f(b)=3b^2 - 9$

$f(2)=3*2^2 - 9 = 12 - 9 = 3$

So, we have:

$m = \frac{f(b) - f(2)}{b - 2}$

$m = \frac{3b^2 - 9 - 3}{b - 2}$

$m = \frac{3b^2 - 12}{b - 2}$

Expand the numerator

$m = \frac{3b^2 + 6b-6b-12}{b - 2}$

Factorize

$m = \frac{b(3b + 6)-2(3b+6)}{b - 2}$

Factor out 3b + 6

$m = \frac{(b -2)(3b+6)}{b - 2}$

Cancel out b - 2

$m = 3b+6$

4 0

3 years ago

What is X? 2.3x-8.7=0.8x-4.2 pLS hELP

daser333 [38]

Answer:

x = 45/17

Step-by-step explanation:

We can move all x to 1 side and all the numbers to another. You can add 8.7 on both sides and get that 2.3x = 0.8x + 4.5. Next, we subtract by 0.8x on both sides to get that 1.7x = 4.5, where we can then divide by 17/10 on both sides to get that x is equal to 45/10 * 10/17, so that means that x = 45/17.

5 0

3 years ago

Lou has a part-time job in a restaurant. He earns $69.38 a day when he cooks and $56.63 a day when he busts his tables. Last wee

Stolb23 [73]

Answer:

$182.64

Step-by-step explanation:

$56.63x2 =$113.26

$113.26+$69.38

=$182.64

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3 years ago

What 14/27 divided by 7 in simplest for I will brain if right

tamaranim1 [39]

Answer:

0. 074

Step-by-step explanation:

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