Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x
That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
In the Pythagorean Theorem, a right triangles hypotenuse is found by a^2 +b^2= c^2. The distance formula is basically the same thing. With two points, a right triangle can be formed and the slop would be the hypotenuse. That's where the distance formula comes from
Step-by-step explanation:
Given:
Area(A)= 63m^2
Length (L)= 2W+5
Width (W)=?
A=LxW
63=(2W+5)(W)
63=2W^2 + 5W
0=2W^2+5W-63
0=(2W-9)(W+7)
2W-9=0 then W=4.5 and W+7=0 then W=-7
Can only use 4.5 since it is positive and distance is positive.
W= 4.5 m
L=2W+5=2 (4.5)+5=9+5=14m
Answer:
Step-by-step explanation:
This can be represented as exponential decreasing function.
y = a(1 - r)t
a = starting amount
r = rate
t = years
y = 1600(1 - .0725)15
= 1600(.9275)15
= 1600(.32337673)
= 517.40
In 15 years, the forest will shrink in size to 517.40 km2
