Given:
h(t) = -16t² + 90t + 50
g(t) = 28 + 48.8t
h(1) = -16(1²) + 90(1) + 50 = 124
h(2) = -16(2²) + 90(2) + 50 = -64 + 180 + 50 = 166
h(3) = -16(3²) + 90(3) + 50 = -144 + 270 + 50 = 176
h(4) = -16(4²) + 90(4) + 50 = -256 + 360 + 50 = 154
g(1) = 28 + 48.8(1) = 76.80
g(2) = 28 + 48.8(2) = 125.60
g(3) = 28 + 48.8(3) = 174.40
g(4) = 28 + 48.8(4) = 223.20
Between 3 seconds is the answer... though it is not exactly equal but they are nearer in value compared to other number of seconds.
Answer:
<em>18x² - 84x + 96</em>
Step-by-step explanation:
(5 × 2 - 6x + 2) × (4 × 2 - 3x)
5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)
80 - 30x - 48x + 18x² - 6x
96 - 84x + 18x²
18x² - 84x + 96
Hope this helps! :)
Answer: divide it by 2
Step-by-step explanation:
Answer:
![\frac{-8 +2\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-8%20%2B2%5Csqrt%7B3%7D%20%7D%7B3%7D)
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
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<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + ![\frac{2\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Csqrt%7B3%7D%20%7D%7B3%7D)
= ![\frac{-8 +2\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-8%20%2B2%5Csqrt%7B3%7D%20%7D%7B3%7D)