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:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
(segment addition postulate)
(substitution)
Solve for x

Divide both sides by 9


MN = 4x
plug in the value of x
MN = 4(1) = 4
1 is 11 over nine the last one and the second one is 11
Answer:
Both plans last for 1.25 hours (1 hour 15 minutes)
Step-by-step explanation:
Let x hours be the time needed for plan A and y hours be the time needed for plan B.
On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. Thus, 5x+3y=10.
On Thursday there were 2 clients who did Plan A and 6 who did Plan B. Thus, 2x+6y=10.
Solve the sytem of two equation. Multiply the first equation by 2, the second by 5 and subtract them:

Therefore,
