Basically (g of f)x=(f(g(x)) so
g of f=f(g(x))=7(5x^2+4x-3)+5
distribute
f(g(x))=35x^2+28x-21+5=35x^2+28x-16
g of f=35x^2+28x-16
1+7 and 7+1 are the same equations. The numbers are just switched around .
Example:
1+2=3
2+1+3
<span>They add up to the same answer no matter where they are placed, therefore knowing 1+7 helps you find the sum of 7+1 (again, because they are the same) </span>
Answer:
D
Step-by-step explanation:
So here we have a line plot that shows lengths of insects and the quantity of insects that fits the description.
For instance, there are 4 Xs for 1/8. This means that there are four insects that are 1/8 inches long. Likewise, there is only 1 X for 7/8. This means that are is only one insect that is 7/8 inches long.
To find out how much longer is the longest insect than the shortest insect, we simply need to subtract the shortest into the longest.
The longest insect we have is the lone insect who is 7/8 inches long.
And the shortest insects we have are the four insects who each measure 1/8. However, we only need 1.
So, subtract:

Combine fractions with common denominators:

Subtract:

The answer is D.
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Answer:
to find out how much hector earns a hour we can do
Step-by-step explanation:
210 ÷ 20
I think you missed some writing it doesn't say the whole question. so I'm not really sure^^