An internet provider charges an install fee of $49 and a monthly fee of $99. The total bill was $544. Write an equation to find out how many months were paid for.

B = $49 + $99m is a good equation; they don't actually ask for the number of months to be found, but I showed it anyway

Step-by-step explanation:

Let B be the total bill amount.

Let m be the number of months of service provided.

Then the bill total,

B,   is  $49 for install + $99 times the number of months of service.

B  =   $49                 +   $99 x m

*** B = $49 + $99m

Now, we know B is $544, so

544 = 49 + 99m

-49     -49

495  =  99m

495/99  = 99m/99

5   =   m

*** After 5 months, the bill is $544

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)