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3 years ago

Factor Xsquared +12x+27

Mathematics

1 answer:

____ [38]3 years ago

3 0

Answer:

$(x+3)(x+9)$

Step-by-step explanation:

We are given the expression $x^2+12x+27$

This means that we are looking for two numbers that would add together to give us 12 and multiply to give us 27.

The two numbers that fit this description are 3 and 9.

This means that the factored form of the expression would be

$(x+3)(x+9)$

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Ving Advanced Linear Equations: Practice

Nastasia [14]

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

3 0

3 years ago

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

Brrunno [24]

Part A:

Given that a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months

The total installment price is given by

$P=\$8.50+\$11(24) \\ \\ =\$8.50+\$264=\$272.50$

Part B:

The carrying charges is given by the total installation price minus the cash price.

From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.

Therefore, the carrying charges is given by

$272.50 - $200.00 = $72.00

Part C:

If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by

$\frac{\$200}{\$11} =18.18\, months$

Therefore, it will take 19 months to save the money at the monthly rate needed to buy the item for its cash price.

3 0

3 years ago

Read 2 more answers

Write 19/20 as a percentage.

PIT_PIT [208]

Answer:

95%

Step-by-step explanation:

$\frac{19}{20}$ x 5 = $\frac{95}{100}$