Step-by-step explanation:
Take the first derivative
Set the derivative equal to 0.
or
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
So the local min occurs at -2, at x=1
Answer : The answer is $153.00 from selling magazine subscriptions on Saturday.
Explanation : We know that each magazine is equal to $8.50. At first she sold 17 of the 35 magazines. 17 x $8.50 = $144.50 from selling 17 magazines. Now we do 35-17 to get how many magazines are left. So there is 18 magazines left. We need to do the same thing we did before, 18 x $8.50 = $153.00. She got $153.00 from selling 18 magazines on Saturday.
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x
Area = length * width
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85
(2x + 17) ( x - 5)
x = -17/2 or x = 5
Let x = 5 ;
length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7
Area = 13 x 7 = 91
Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
Step-by-step explanation:
=-32-9 08 3X-97y
9- 2⋅ x+9- 7⋅ y+(1 0- 7⋅ x+3- 2)
93 students play an instrument because you would take 310 (the total amount of students) and multiply it by 0.3 (the thirty percent) and get 93
