Help plzzz I need this done soon
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Answer:
Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form
Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-2). Substitute and write:
To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.
The vertex form of the equation is .
To write in standard form, convert vertex form through the distributive property.
The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75
In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70
B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 = 1.5
55 × 0.05 = 2.75
In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 = 70
B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use 5.5 gallons of gasoline.