Answer:
Area= 60
Step-by-step explanation:
The car was towed 44miles (162 - 30 = 132. 132 divided by 3 = 44)
Plug in y=5x-1 for y in 3x+2y=11
3x+2(5x-1)=11
3x+10x-2=11
13x=13
x=1
plug x=1 to y=5x-1 to find y
y=5(1)-1
y=5-1
y=4
ANSWER: x=1 and y=4 which is (1,4) as an ordered pair
Answer:
81
Step-by-step explanation:
RZT = 137
RZS = 56
SZT = 137 - 56 = 81
Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x
a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x
b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438
c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931
Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
