Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
The equation would be 63500-700x=P, where 63500 is the original population, -700 is the amount the population decreases each year, x is the number of years, and P is the total population.
To answer the second part of the question, plug in 53000 for P and solve for x:
63500-700x=53000
<em>*Subtract 63500 from both sides*</em>
-700x=-10500
<em>*Divide both sides by -700*</em>
x=15
It would take 15 years for the population to drop to 53000.
Hope this helps!!
Answer:
no
Step-by-step explanation:
Let k be the scale factor relating two similar prisms

and

, such that for corresponding parts of prisms

and

(for heights, in particular) we have

. In our case

.
For surfaces area we have

.
So, the right answer is 4:25 (choice B)
Answer:
<h2>A</h2>
Step-by-step explanation:
The complete question is
What is the length of leg y of the right triangle?
A right triangle with hypotenuse 26 and legs 24 and y
We need to use the Pythagorean Theorem, where
and
,

Therefore, the right answer is A. The length of the missing leg is 10 units.