95÷100of the time
if he ran 20 races rhus month
95÷100×20 =19
We can't tell from the graph whether the left point of each step is included, or the right point. If the left, this is a graph of
y = 7 + floor(x)
The correct option is Option D: f(x)=(5)ˣ.
The function is increasing where its derivative is greater than 0.
for example, f(x) is increasing then f'(x) is greater than 0.
Here f(x) = aˣ
so the dervative of the function
d(f(x))/dx=d(aˣ)/dx
⇒f'(x)= ㏑(a)aˣ
f'(x)>0
⇒㏑(a)aˣ >0
as aˣ is always greater than 0,
⇒㏑(a)>0
⇒a>1
as ㏑(a) is greater than 0 when a >1 and is lesser than when 0<a<1.
checking all the options
Option A. f(x)=(1/5)ˣ here a =1/5<1 so, f(x) is not increasing. Option A is incorrect.
Option B: f(x)=(0.5)ˣ here a =0.5<1 so, f(x) is not increasing. Option B is incorrect.
Option C: f(x)=(1/15)ˣ here a =1/15<1 so, f(x) is not increasing. Option C is incorrect.
Option D: f(x)=(5)ˣ here a =5>1 so, f(x) is increasing. Option A is correct.
Therefore the correct option is Option D: f(x)=(5)ˣ.
Learn more about increasing function
here: brainly.com/question/1503051
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Answer: D. 22 pages per day.
Step-by-step explanation:
A is not the rate it is the amount of pages that he has to read.
B is the number of days it will take for him to finish reading all 3,982 pages.
C is literally a random number it has nothing to do with the question.
D shows the rate or number of pages he will read in d number of days.
Answer:
(9 x - 7 y) (9 x + 7 y)
Step-by-step explanation:
Factor the following:
81 x^2 - 49 y^2
Hint: | Express 81 x^2 - 49 y^2 as a difference of squares.
81 x^2 - 49 y^2 = (9 x)^2 - (7 y)^2:
(9 x)^2 - (7 y)^2
Hint: | Factor the difference of two squares.
Factor the difference of two squares. (9 x)^2 - (7 y)^2 = (9 x - 7 y) (9 x + 7 y):
Answer: (9 x - 7 y) (9 x + 7 y)