Answer:
y = 2(x +1)(x -4)
Step-by-step explanation:
The intercepts are at grid points, so it is easiest to make use of those. For an x-intercept of "a", one of the factors of the function is (x -a). Here, the x-intercepts are -1 and +4, so the function has factors (x +1)(x -4).
When x=0, the product of these factors is (1)(-4) = -4, so there is a vertical scale factor of 2 to make the y-intercept be -8. The function can be written as ...
y = 2(x +1)(x -4)
Q - 7 5/6 = 6 1/2
q = 6 1/2 + 7 5/6
q = 13/2 + 47/6 / multiply 13/2 by 3
q = 39/6 + 47/6
q = 86/6
5(20) + 4y = 216
100 + 4y = 216
4y = 216 - 100
4y = 116
y = 116/4
y = 29.....so they sold 29 four-dollar yogurts + 20 five-dollar yogurts....for a total of 49 yogurts sold <==
The flow rate is 2 quarts per minute. There are 4 quarts in a US gallon, so 2 quarts divide 4 quarts per US gallon = 0.5 gallons per minute There are 60 seconds in a minute, so the flow rate is 0.5 gallons per minute divide 60 seconds per minute = 0.0083 gallons per second