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y = ax² + c thru (-1,4) and (0,8)
Substituting in the coordinates of each point for x and y gives two equations:
4 = a (-1)² + c
8 = a (0²) + c = c
From the second one we see c=8. Substituting into the first one,
4= a + 8
a = 4-8 = -4
Answer: a=-4, c=8
Check:
f(x) = -4x² + 8
f(0) = 8, good
f(-1) = -4(1) + 8 = 4, good
Answer:
vol. of triangular prism = lbh/2
vol. of rectangular prism = 18 of vol. of triangular prism
18x = 18 + 14x
4x = 18
x=4.5 ft
so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube
Answer:
6 runners finished the race
Step-by-step explanation:
it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3
90 ÷ 3 = 30
Then, 1/5 of the runners remained.
That means you do 30 divided by 5
30÷ 5= 6
so the answer is 6 remaining runners finished the race.
Answer:
2x + 11 = 25
x = 7
Step-by-step explanation:
Let the number be x.
Double of x and add 11 equals 25.
2x + 11 = 25
Solve the equation.
2x + 11 = 25
Subtract 11 on both sides.
2x = 25 - 11
2x = 14
Divide 2 on both sides.
x = 14/2
x = 7