Y = -x² + 3x - 1
x = 2y - 1
x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
<u>- x - x </u>
0 = -2x² + 5x - 3
x = <u>-(5) +/- √((5)² - 4(-2)(-3))</u>
2(-2)
x = <u>-5 +/- √(25 - 24)</u>
-4
x = <u>-5 +/- √(1)
</u> -4
x = <u>-5 +/- 1</u>
-4
x = <u>-5 + 1</u> or x = <u>-5 - 1</u>
-4 -4
x = <u>-4</u> x = <u>-6</u>
-4 -4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
<u> + 1 + 1</u>
<u>2y</u> = <u>2</u>
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
<u> + 1 + 1 </u>
<u>2y</u> = <u>2.5</u>
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
<u />
Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3
<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>14 cups = 14.4375 in^3 * 7 = 202.125 in^3 </span>
<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.
(i HAD THE SAME QUESTION)</span>
Answer:
5. D
6. (3-3)
7. (-4, 3)
8.C
9.>
Step-by-step explanation:
Answer:xy6
Step-by-step explanation: