Answer:
q=4p-14
Step-by-step explanation:
5q-4p+6=4q-8
5q-4q-4p=-8-6
q-4p=-14
q=-14+4p
q=4p-14
The top right is the answer. The base should be square with lengths of 8 and the height is 10.
If we set the equation equal to 0, we can factor it to find its roots:
x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2
This graph has one root, a double root, at -2. This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)
<span>200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x </span>→ 225 + 80(4) = 225 + 320 = 545
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The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
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Based on the graph, all x values are possible so the answer is C.