Let, the numbers are: x, (24-x)
Let, P(x) denote their products. Then, we have:
P(x) = x(24-x) = 24x - x²
P'(x) = 24-2x
P''(x) = -2
Now, P'(x) = 0 ⇒ x = 12
Also,
P''(12) = -2 < 0
So, By second derivative test, x = 12 is the point of local maxima of p. Hence the product of the numbers is the maximum when the numbers are 12 and (24-12) = 12
So, In short that numbers would be 12,12
Hope this helps!
Answer:
Step-by-step explanation:
1st box. -3x
2nd and 3rd box. -21 on each side
4th box. 0
and you have the rest I hope I could help you.
To solve problem #1 follow the steps below...
Step 1:Think back to PEMDAS
P=Parentheses
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
(Think of M,D as brothers and whichever once comes first in the problem you do.This rule also applies to A,S)
Step 2: Look back to your problem
(6 divided by 2 plus 1) plus 10x2
Step 3: Start with the parentheses
6 divided by 2 plus 1
Step 4: Do the division first
6 divided by 2=3
Step 5:Now the addition
3 plus 1=4
Step 6: Rewrite the problem
4 plus 10x2
Step 7: Do the multiplication
10x2=20
Step 8: Rewrite your problem again
4 plus 20
Step 9: Solve
4 plus 20=24
Step 10: Look back at your work and see what order your operations were done in
.Division
.Addition
.Multiplication
.Addition
Step 11: Compare your order to the choices
Answer: b
I hope this helps and if any false information was given I apologize in advance.
Use the substitution method for x
y= 4(-2)-1
y= -8-1
y= -9
Answer is y=-9
