Answer:
24 inches
Step-by-step explanation:
There are 5280 feet in a mile
There are 220 feet in 1 in on the map
5280/220 = 24
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
Answer:
<u>Equations for each salesman:</u>
- A. p(s) = 65s
- B. p(s) = 40s + 300
- C. p(s) = 900
<u>When s = 0, s= 1, s = 10 each of the gets paid:</u>
- A. p(0) = 0, p(1) = 65, p(10) = 650
- B. p(0) = 300, p(1) = 340, p(10) = 700
- C. p(0) = p(1) = p(10) = 900
<u>The above numbers as ordered pairs:</u>
- <u> A B C </u>
- s = 0 | (0, 0) | (0, 300) | (0, 900)
- s = 1 | (1, 65) | (1, 340) | (1, 900)
- s = 10 | (10, 650) | (10, 700) | (10, 900)
