Answer:x=6
Step-by-step explanation:
YZ is 1/2 of EF, so the same goes for the other sides. ED is 10, so XY is 5, 5=x-1, solve for x, and you get x=6. And to verify, XY is 7.5, so DF would be double that, so 15=3(x-1), which is correct 15=3(6-1)=3(5)
Answer:
w^2 + 13w + 39
Step-by-step explanation:
Multiplying Polynomials (FOIL- Firsts, Outs, Inners, Lasts)
(w+9) (w+4) Multiply- Firsts (w*w) Outs (w*4) Inners (9*w) Lasts (9*4)
w*w + w*4 + 9*w + 9*4 Multiply the FOIL
w^2 + 4w + 9w + 36 Combine like terms (same variables, numbers)
w^2 + 13w + 39
Answer:
1) 20%
2) Choice a.
Step-by-step explanation:
1) is the population initially.
is the population after a year.
represents the population increase factor.
So let's evaluate that fraction:
0.2=20%
2) Let's figure out the population growth in terms of months instead of years.
We want t to represent months.
A full year is 12 months, in a full year we have that
So we want a new P such that since 12 months equals a year.
Let's look at the functions given to see which gives us this:
a)
b)
c)
d)
So a is the function we want.
Also another way to look at this:
where is in years.
where is in months.
And
Answer:
7
Step-by-step explanation:
5(x - 3) = 2(x + 3) Distribute
5x - 15 = 2x + 6
+ 15 + 15 Switch sides to the liked terms
5x = 2x + 6 + 15
-2x -2x Switch sides to the liked terms
5x - 2x = 6 + 15
<u>3x</u> = 21 Divide
3 3
x = 7