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4 years ago

Factor the polynomial: x(5x-8)-2(5x-8)

Mathematics

1 answer:

sertanlavr [38]4 years ago

3 0

<span>x(5x-8)-2(5x-8) =(5x-8)(x-2)
Answer is </span><span>C. (5x-8)(x-2)</span>

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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

professor190 [17]

Answer:

$r(t)=100,000t+600,000$

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2,000,000-1,000,000}{14-4}$

$m=\frac{1,000,000}{10}$

$m=100,000\frac{readers}{year}$

step 2

Find the equation of the line in point slope form

$r-r1=m(t-t1)$

we have

$m=100,000\\point\ (4,1,000,000)$

substitute

$r-1,000,000=100,000(t-4)$

step 3

Convert to slope intercept form

$r=mt+b$

isolate the variable r

$r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000$

step 4

Convert to function notation

$r(t)=100,000t+600,000$

6 0

3 years ago

You buy 6 videos on sale. The videos are on sale for $8 and $10. You spend $52. How many $8 videos did you buy?

OverLord2011 [107]

Set up a system of equations:

x + y = 6
8x + 10y = 52

Where 'x' is the number of $8 videos and 'y' is the number of $10 videos.

x + y = 6

Subtract 'x' to both sides:

y = -x + 6

Plug in '-x + 6' for 'y' in the 2nd equation:

8x + 10y = 52

8x + 10(-x + 6) = 52

Distribute 10 into the parenthesis:

8x - 10x + 60 = 52

Combine like terms:

-2x + 60 = 52

Subtract 60 to both sides:

-2x = -8

Divide -2 to both sides:

x = 4

So you bought four $8 videos.

3 0

4 years ago

Read 2 more answers

Solve the equation for g.

vagabundo [1.1K]

This was very complex, but I do believe the answer is g=1/2*pi*w^3*A
2
HAPPY NEW YEAR!
hope this helped

6 0

4 years ago

Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples. They were on sale for $0.75 a pound. How much did the appl

vampirchik [111]

4. 72•0.75= $3.54 is the correct answer

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