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Sati [7]
3 years ago
10

What does 28,000 lb = in T

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0
14 tons the answer is 14 tons.

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A quadratic function has the form
y = ax^2 + bx + c

Use point (3, 5) in the equation above:

5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5     Equation 1

Use point (4, 3) in the equation above:

3 = a(4^2) + 4b + c
16a + 4b + c = 3    Equation 2

Use point (5, 3) in the equation above.

5 = a(5^2) + 5b + c
25a + 5b + c = 5       Equation 3.

Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.

9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5

Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
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7a + b = -2
9a + b = 2

Subtract the first equation above from the second equation to get.
2a = 4
a = 2

Substitute:
7a + b = -2
7(2) + b = -2
b = -16

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The equation in standard form is

y = 2x^2 - 16x + 35

We can find it in vertex form:

y = 2(x^2 - 8x) + 35

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