H (x) = 5x^2+40x+64
y = (5x^2+40x+60) + 4
y = 5(x^2+8x+12) + 4
y = 5(x+2)(x+6) + 4
y-4 = 5(x+2)(x+6)
This means that the solutions, or where the parabola crosses the x-axis, are at x+2=0 and x+6=0, or x=-2, -6
So the midpoint of -2 and -6 is -4, the axis of symmetry is x=-4
Answer:
1 solution
Step-by-step explanation:
y = 1/2x + 4
x + 2y = -8
Solve the second equation for y.
2y = -x - 8
y = -1/2x - 4
The two equations in slope-intercept form are:
y = 1/2x + 4
y = -1/2x - 4
The system consists of two lines with different slopes, so they intercept at a single point which is the solution.
Answer: 1 solution
Answer: y=12
Step-by-step explanation:
the y-intercept of the graph when : x=0
f(0) =4(0)+12 = 12
Answer:
17.5 cubic feet
1163.75 pounds
Step-by-step explanation:
Givens
L = 3.5 Given
W = 5/7 * 3.5 Divide by 7
W = 5 * 0.5 Combine
W = 2.5
H = 4/5 * w
H = 4/5 * 2.5
H = 4 * 0.5
H = 2
Volume
V = L * w * h
V = 3.5 * 2.5 * 2
V = 17.5
Weight
1 Cubic foot Milk = 66.5 pounds
17.5 cubic feet milk = x
1 / 17.5 = 66.5/ x
x = 17.5 * 66.5
x = 1164.75
