The tank fills to 16 gallons of water as a maximum. After that it would start overflowing.
Answer:
AC = 38
Step-by-step explanation:
AB = BC
4 - 5x = 2x + 25
-7x = 21
x = -3
AC = 2(BC) = 2(2x + 25) = 4x + 50 = 4(-3) + 50 = -12 + 50 = 38
AC = 38
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Answer:
Midpoint (wM, xM) = (4, 5)
or
18.5, 15.5
