(v - 1)² = 2v² - 5v - 17
(v - 2)(v - 2) = 2v² - 5v - 17
v² - 2v - 2v + 4 = 2v² - 5v - 17
v² - 4v + 4 = 2v² - 5v - 17
<u>- v² - v² </u>
-4v + 4 = v² - 5v - 17
<u>+ 5v + 5v </u>
v + 4 = v² - 17
<u> + 17 + 17</u>
v + 21 = v²
0 = v² + v + 21
v² + v + 21 = 0
v = <u>-(1) +/- √((1)² - 4(1)(21))</u>
2(1)
v = <u>-1 +/- √(1 - 84)</u>
2
v = <u>-1 +/- √(-83)
</u> 2<u>
</u> v = <u>-1 +/- 9.11i
</u> 2<u>
</u> v = -1 <u>+</u> 4.555i<u>
</u> v = -1 + 4.555i v = -1 - 4.555i
There is more than one solution.
<u />
The answer would be 2 inches.
The ratio of the model to the real figure is 1 feet to 12 feet, since 15 divided by 1.25 is 12. And since 24 inches = 2 feet, 2 divided by 12 would equal 1/6 feet, which would equals 2 inches.
C). (3, 29) would be your answer.
Explanation?:
Rewrite the equation in vertex form.
y = -3(x - 3)^2 + 29
use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 3
k = 29
The vertex = (h, k)/(3, 29)
Hope this helps!
My calculator shows that
(2.1)/(1.488) = 1.41129
which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40
Try 1.41 and it should work out, assuming your teacher wants two decimal places.
80/100*n=16
80n=1600
n=1600/80=160/8=20
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Original price: $20.00
