For this case we have the following function:
m (x) = 26x-x2
Deriving we have:
m '(x) = 26-2x
We equal zero and clear the value of x:
26-2x = 0
2x = 26
x = 26/2
x = 13
Substituting x in the function we have:
m (13) = 26 * (13) - (13) ^ 2
m (13) = 169
Answer:
the amount of rainfall that will maximize the number of mosquitoes is:
x = 13 inches
The maximum number of mosquitoes is:
m (13) = 169
For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.
put g(x) in place of x in the function f(x). Then we have
f [g(x)] = 10(x + 9) + 8
f [g(x)] = 10x + 90 + 8
f [g(x)] = 10x + 98
Put x = 10, then we have
f [g(10)] = 10(10) + 98
f [g(10)] = 100 + 98
f [g(10)] = 198
Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.
More about the function link is given below.
brainly.com/question/5245372
Answer:
Fraction
Step-by-step explanation:
Tell me if im wrong
Answer:
<h2>5.4 inches </h2><h2>0.15 yards </h2>
Step-by-step explanation:
hope it's helpful
Answer:
By the fifth bounce, it would reach 31.25 centimeters
Step-by-step explanation:
10/2=5
5/2=2.5
2.5/2=1.25
1.25/2=0.625
0.625/2=0.3125
0.3125 meters multiplied by 100(to get centimeters) = 31.25 centimeters
I hope this was helpful <3