Can help me plzz f) i) dont need
Answer:
5(m + 5) (m - 8)
Step-by-step explanation:
5m2- 15m- 200
Start by pulling 5 out.
5(m^2 - 3m - 40)
We consider all factors of 40
1 40
2 20
4 10
5 8
Based on the middle term we know that 5 and 8 are our best option.
5(m 5) (m 8)
We know the signs have to be one + and one - because a - * - = + and + * + = +
Since 5 - 8 would give us -3 we know that our answer is
5(m + 5) (m - 8)
Question: What value of c will complete the square below (
) and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of 
.
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by 
on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
B. 13
Step-by-step explanation:
Solve this by setting up system of equations:
0.25x + 0.10y = 3.95
x + y = 20
x equals the number of quarters and y equals the number of dimes. 0.25 is the value of a quarter and 0.10 is the value of a dime.
1. Multiply one equation to have the same coefficient as the other
0.10 · (x + y = 20) = 0.10x + 0.10y = 2
2. Subtract to find the value of one variable
0.25x + 0.10y = 3.95
<u>- 0.10x + 0.10y = 2</u>
0.15x = 1.95
3. Solve for x by dividing both sides by 0.15
x = 13
4
5x - 4 = 16
Add four to both sides
5x = 20
Divide both sides by 5
x = 4
