Answer:
- x ≥ -3
- x ≥ -3
Step-by-step explanation:
-15x + 60 ≤ 105
-15x ≤ 45
x ≥ -3
14x + 11 ≤ -31
14x ≤ -42
x ≥ -3
Best of Luck!
Answer:
Step-by-step explanation:
Let x represent the seating capacity
Number of seats = 40+x
Profit per seat = 10 - 0.20x
For maximum number of seats
P(x) = ( 40+x ) ( 10-0.20x )
P(x) = 400+10x-8x-0.2x^2
P(x) = 400+2x- 0.2x^2
Differentiating with respect to ( x )
= 2 - 0.4x
0.4x = 2
x = 2/0.4
x = 5
The seating capacity will be 40+5 = 45
For the maximum profits
40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1
= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )
= 400 + (48/2)(2X0.1 + (48-1)X0.1)
= 400 + 24(0.2 + 4.7)
= 400 + 24(4.9)
= 400 + 117.6
= 517.6
= 517.6dollars
Answer:
Option C
Step-by-step explanation:
we have
step 1
Group terms that contain the same variable, and move the constant to the opposite side of the equation
step 2
Factor -6 leading coefficient'
step 3
Complete the square
Remember to balance the equation by adding the same constants to each side
step 4
Rewrite as perfect squares
simplify
8x + 6=4x + 38
4x = 32
x = 8
<B = 4x + 38 = 4(8) + 38 = 70
Answer: 38.9
Step-by-step explanation:
Add all the numbers together and divide the sum by how many numbers there are.
