Answer:
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4 x→: 1, 2, 4, x
Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y
G CF: 4 x
Factored expression: 4 x(0+4 y)→Incorrect
→4 x +16 x y= 4* x + 4 *4* x* y
= 4* x* (1+4 y)
while writing the factored expression, we have to break the terms into smaller terms that is into monomials and then we should take out the common factor between the two terms.
Monique made an error when writing the factored expression.
<em>Hope The Answer is Correct! If it is I'm glad to help:)</em>
Answer:
I'm pretty sure it's E.
Step-by-step explanation:
I'm hope this helped!
The given sequence is 4,12,36,108....
Here we can observe the first term = 4 , and so on.
The common ratio (r)=
Since the common ratio is greater than 1,
Therefore the sum of the geometric series =
Since we have to find the sum of first seven terms, so n=7
=
=4372.
Therefore, option C is the correct answer.
<span>All the angles of a triangle add up to 180 degrees.
Since two of the angles are the same, we can write:
2A+B=180
Where 2A accounts for the two angles that are the same.
We are given the relation:
B=A+30
We can plug this into our first equation:
2A+A+30=180
</span><span>
Combine like terms and move the 30 to the other side:
3A=150
Divide both sides by 3:
A=50
We can solve for B by plugging A back into our relation:
B=50+30
B=80
To check: 80+50+50 so we are correct.</span>
Answer:
p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9