Find the factored form of 18n+12

Answers

Answer 1

Answer: factored: 6(3n+2)

6 is the greatest common factor of 18n and 12 so you change it to distributive property by factoring it to 6(3n+2)
if you distribute 6(3n+2) you get 18n+12

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PLEASEEE HELPP The water usage at a car wash is modeled by the equation W(x) = 3x3 + 4x2 − 18x + 4, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 2x3 + 2x2 − 18x − 11
C(x) = 3x3 + 2x2 − 18x + 11
C(x) = 3x3 + 2x2 − 18x − 11
C(x) = 2x3 + 2x2 − 18x + 11

Answers

We have been given that the water usage at a car wash is modeled by the equation $W(x) = 3x^3+4x^2-18x + 4$ , where W is the amount of water in cubic feet and x is the number of hours the car wash is open.

The amount of decrease in water used is modeled by $D(x) = x^3 + 2x^2 + 15$ , where D is the amount of water in cubic feet and x is time in hours.

The function C(x) will be difference of W(x) and D(x) that is $C(x)=W(x)-D(x)$ .

Upon substituting both function values in above formula, we will get:

$C(x)=3x^3+4x^2-18x + 4-(x^3 + 2x^2 + 15)$

Let us remove parenthesis.

$C(x)=3x^3+4x^2-18x + 4-x^3-2x^2-15$

Combine like terms.

$C(x)=3x^3-x^3+4x^2-2x^2-18x+4-15$

$C(x)=2x^3+2x^2-18x-11$

Therefore, the function $C(x)=2x^3+2x^2-18x-11$ represents the water used by the car wash on a shorter day and option A is the correct choice.

Answer:

Step-by-step explanation:

A jogger weighing 800 N is running along at a constant velocity of 6 m/s. What is the kinetic energy ofthe jogger?

Answers

Step-by-step explanation:

KE = ½ mv²

KE = ½ (800 N / 10 m/s²) (6 m/s)²

KE = 1440 J

Write a number that has the zero in the tens place draw a quick picture for your number

Answers

50. The tens place is just the second number. So 10, 20, 30, 40, 50, 60, 70, 80, 90. Every one of those can work.

What is 32-6x+7x=-15+38

Answers

To get the answer first we have to simplify given expression.
32-6x+7x=-15+38
32+x=23 /-32 (subtract 32 both sides)
x=-9 - its the resuylt

$32-6x+7x=-15+38\ \ \ \ \ \ \ \ |combine\ like\ terms\n\n-6x+7x=-15+38-32\ \ \ \ \ |simplify\n\n\boxed{x=-9}$

FIND THE UNIT RATE. SHOW YOUR WORK.
180 miles in 3 hours

Answers

180/3
60/1
Answer: 60 mph

What is 118.380 rounded to the nearest hundredth

Answers

118.380 rounded to the nearest hundredth is 118.38~

you take away the zero and get 118.380

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