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.
Answer: no solutions
Step-by-step explanation:
12x+32=12x-7
12x-12x=-7-32
0x=-39
No solutions
................................ the answer is 1500
At most 12 peppers can be bought with $18
Step-by-step explanation:
Given
Total amount for peppers = $18
Cost per pepper = $1.50
Let p be the number of peppers that can be bought from $18 at $1.50 per pepper
So,

Dividing both sides by 1.50

Hence,
At most 12 peppers can be bought with $18
Keywords: Inequality, solution
Learn more about inequalities at:
#LearnwithBrainly
Answer:
The kiwi is 23 inches tall.
Step-by-step explanation:
63= 2k + 17
46= 2k
k= 23 inches tall