Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
Step-by-step explanation:
or
Hope it will help :)
If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.
a. Monthly membership fee = $100
Additional amount charged = $1 per hour.
If I use the gym for x hours in a month, the total cost in terms of x will be:
= 1000 + 1(x)
= 1000 + x
b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:
= 35 + 3.50(x)
= 35 + 3.5x
c. The number of hours that will give same cost will be:
1000 + x = 35 + 3.5x
Collect like terms.
1000 - 35 = 3.5x - x
965 = 2.5x
x = 965/2.5
x = 386
In 386 hours, the total cost will be the same.
Read related link on:
brainly.com/question/24515212
To find the volume you use the formula—> length x width x height.
For the first problem you’ll solve 5 x 3 x 2 which is 30.
For the second one you’ll do the same thing. For this one you’ll do 3 x 3 x 2 which is 18.
Answer:
C.It is a one-tailed test since the alternative hypothesis states that the parameter is greater than the hypothesized value.
Step-by-step explanation:
Let p be the percentage of students enrolled in an introductory Chemistry class dropped before the midterm. Then null and alternative hypotheses are:
: p=10%
: p>10%
The alternative hypothesis states that the parameter is greater than the hypothesized value.
