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Readme [11.4K]
3 years ago
13

A die is rolled. Write each answer as a fraction, decimal, and percent. Show your work.

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
A. 1/6, .16666666, 16.6666666%
B. 4/6, .64, 64%
C. 5/6, .80, 80%
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What constitutes a function
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A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow. $9 $11 $29 $33
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Find the quation of the quadratic function with roots 0 and 4 and a vertex at (2,-2)
Nookie1986 [14]

Answer:

y = (1/2)x² -2x

Step-by-step explanation:

recall that the general equation of a quadratic function is:

y = Ax² + Bx + C

given that 0 and 4 are roots, that means when x = 0 and x = 4, then  y = 0

From this we can get 2 points on the curve, namely,  (0,0) and (4,0)

substituting these points one at a time into the equation above,

for the first point (0,0),

0 = A (0)² + b(0) + C

C = 0

hence the equation becomes:    y = Ax² + Bx

for the 2nd known point (4,0)

0 = A(4)² + B(4)

0 = 16A + 4B   (divide both sides by 4)

0 = 4A + B

B = -4A    ------------(eq 1)

we are given a 3rd point, vertex at (2,-2)

for (2,-2)

-2 = A(2²) + B(2)

-2 = 4A + 2B   (divide both sides by 2)

-1 = 2A + B   (subtract 2A from both sides)

B = -1 -2A --------(eq 2)

solving the system of equations using the method of your choice in eq1 and eq 2 gives:

A = 1/2 and B = -2

hence the equation is

y = (1/2)x² -2x

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