Answer:
Step-by-step explanation:
Start by factoring out a 5:
We need to find two integers that have a product of 12, and a sum of -7:
(-3)(-4)=12
-3-4=-7
We can split -7x into -3x and -4x
Factor each half separately:
![5[x(x-3)-4(x-3)]](https://tex.z-dn.net/?f=5%5Bx%28x-3%29-4%28x-3%29%5D)
Since x and -4 are both being multiplied by x-3, we can combine them:
Answer:
Step-by-step explanation:
<u>Reading rate is y pages per x minutes and proportional relationship formula is:</u>
<u>The coefficient is:</u>
<u>Let's verify if the given numbers fit into the same relationship:</u>
- 12/18 = 2/3
- 8/12 = 2/3
- 20/30 = 2/3
We confirm all same and it means k = 2/3
<u>Required equation is:</u>
This represents that Michael reads 2 pages per 3 minutes and for x minutes he reads 2/3x pages
If you mean (3x-4)^2, the answer will be 9x^2 - 24x + 16.
Answer:
c)A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
Step-by-step explanation:
A cylinder with a volume of π(w³ +2w² )in³
where w represents the width of the cylinder.
The volume of a cylinder is given by V=Bh or V=πr²h
where B is the area of the base and h is the height of the cylinder.
V=πr²h-------equation1
V= π(w³ +2w² )--------- equation2
Comparing equation 1 and equation 2
πr²h=π(w³ +2w² )
r²h=(w³ +2w² )
r²h= w²(w +2 )
Taking w² common leaves w+2 which gives the height or length of the cylinder.
Therefore radius = width and height = length which gives the volume of the cylinder.
