Answer: 750 miles
Step-by-step explanation:
The gas mileage is 75 miles per 1/2 gallon of gasoline.
First find how many miles it can go on 1 gallon of gasoline:
= 75 ÷ 1/2
= 150 miles
If the scooter can go 150 miles on 1 gallon, the number of miles it will go on 5 gallons is:
= 5 * 150
= 750 miles
Answer:
Step-by-step explanation:
We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.
y = ±|a|(x - h)² + k
where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.
The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:
0 = ±|a|(3 - 0)² + 9 and
0 = ±|a|(3)² + 9 and
-9 = ±|a|9 and
-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is
or in more detailed form:
![y=-(x-0)^2+9](https://tex.z-dn.net/?f=y%3D-%28x-0%29%5E2%2B9)
So, there are two equations.
5a + 3c = 30
a + c = 8, therefore, a = 8 - c
5a + 3c = 30
5(8 - c) + 3c = 30
40 - 5c + 3c = 30
-2c = -10
c = 5 , So a = 3