Answer:
Positive
Step-by-step explanation:
Slope: (6-4)/(45-30)
= 2/15
F(x)=2x²+18x+16
1) we have to calculate the first derived.
f´(x)=4x+18
2) Now, we equalize the first derived to "0" and find out the value of "x"
4x+18=0
4x=-18
x=-18/4=-4.5
3)we calculate the second derived
f´´(x)=4>0 ⇒we have a minimum at x=-4.5
4) Now we calculate the value of "y".
f(-4.5)=2(-4.5)²+18(-4.5)+16=40.5-81+16=-24.5
Therefore; Exist a minimum at (-4.5 , -24.5)
Answer:
12 and 28
Step-by-step explanation:
Represent the numbers using x and y. Then y - x = 16. (y is the larger one.)
Then 3y = 7x, and y = (7/3)x.
Substituting (7/3)x for y in y - x = 16, we get:
(7/3)x - x = 16.
Eliminate the fraction by multiplying all three terms by 3:
7x - 3x = 48, or 4x = 48, yielding x = 12. Then y = (7/3)(12) = 28.
