Answer: 
Step-by-step explanation:
<u>Given expression</u>
4x³ + 24x² - 288x
<u>Factorize 4x out from the expression</u>
4x · x² + 4x · 6x - 4x · 72
4x (x² + 6x - 72)
<u>Cross multiply to factorize the remaining polynomial expression</u>
<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>
x 12
x -6
<u>Combine the result</u>

Hope this helps!! :)
Please let me know if you have any questions
1. X = 4.5
2. X= 14 I’m not sure for 2 but number one is write
Answer:
(90)(7) ⇒ the error was multiplying 90 and 7.
Step-by-step explanation:
12(597) = 12(500 + 90 + 7)
= 12(500) + (90)(7)
= 6000 + 630
= 6,630
The part in bold shows where the error is. It was not correct to multiply 90 and 7.
The process was to proceed as follows:
12(597) = 12(500 + 90 + 7)
= 12(500) + 12(90) + 12(7)
= 6000 + 1080 + 84
= 7,164
Answer:
10 classes
Step-by-step explanation:
Given equations in the question
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
Where,
x = number of classes
Equate the total cost at both dance studios
15x = 25 + 12.5x
Collect like terms
15x - 12.5x = 25
2.5x = 25
Divide both sides by 2.5
2.5x / 2.5 = 25 / 2.5
x = 10 classes
x = number of classes = 10
Answer:
138.16 square feet
Step-by-step explanation:
The surface area of the cylinder consists of one rectangle and two circles.
1. The radius of the circle is 4 ft, then the area of the circle is

2. The width of the rectangle is 1.5 ft, the length of the rectangle is the circumference of the circle.
Find the circumference:

Hence,

3. The surface area of the cylinder is
