Which quadratic equation fits the data in the table? x -5,-2,-1,0,3,4,6 y 33,9,5,3,9,15,33
mojhsa [17]
Answer:
y = x² − x + 3
Step-by-step explanation:
Quadratic equation is:
y = ax² + bx + c
Pick three points and plug in. I'll choose (-2, 9), (-1, 5), and (0, 3).
9 = a(-2)² + b(-2) + c
5 = a(-1)² + b(-1) + c
3 = a(0)² + b(0) + c
9 = 4a − 2b + c
5 = a − b + c
3 = c
We know c = 3, so substitute into the first two equations:
9 = 4a − 2b + 3
5 = a − b + 3
0 = 4a − 2b − 6
0 = a − b − 2
Solve by elimination or substitution.
b = a − 2
0 = 4a − 2(a − 2) − 6
0 = 4a − 2a + 4 − 6
0 = 2a − 2
a = 1
b = -1
Therefore:
y = x² − x + 3
Answer:
The new car costs more
Old car = $5062.125
New car = $7161.357
Step-by-step explanation:
Manny drives an average of 110 miles per week with his old car. The old car gets 16 miles per gallon. The cost per gallon is $2.65 repair and Maintainance costs an average of $740 per year.
For the old car, to find the amount spent on the car we have
110/16 * 2.65 = $18.21875 / week
There are 52 weeks in a year. We have
10.21875*52 = $ 947.375
947.375 + 740
= $1687.375
= 1687.357 * 3
= $5062.125
The new car cost $6500 over a three year loan process.
The car gets 28 miles per gallon. It requires a maintenance f $10 per month. For the new car to find the amount, we have
110*28 * 2.65 *52 = $541.357
541.357 + 10(12) + 6500
= $7161.357
2.947368421 when dividing you want to make sure te numbers are divisible <span />
