The graph reflecting the mathematical equation f(x) = 5*2^x is attached on this answer. Graph shows the exponential manner with the y-intercept is at y = 5. we can plot this graph by substituting points of x from a certain range (positive and negative) and get their corresponding y's
Answer:
1) ratio
2) even number
3) percent
4) composite number
5) odd number
I assume it's just a fill in the blank so do you want a Step-by-step explanation?
-15+5x= 20
5x= 35
x= 7
20= -15+5x
35= 5x
7 = x
Answer:
Step-by-step explanation:
21 roses are white so that is 70%
so that would be 70/100 and can reduce to 7/10
and the percent of red would be 3/10
so we can do 21 divided by 7 which equals 3
then we can do 3 x 3 because 3/10 which equals 9
then you do 21 + 9= 30
so the answer is 30.
Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have
f^(-1)(f(x)) = x
Differentiating with the chain rule gives
(f^(-1))'(f(x)) f'(x) = 1
so that
(f^(-1))'(f(x)) = 1/f'(x)
Let x = a; then
(f^(-1))'(f(a)) = 1/f'(a)
(f^(-1))'(b) = 1/f'(a)
In particular, we take a = 2 and b = 7; then
(f^(-1))'(7) = 1/f'(2) = 1/5
