The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
<h2><u><em>B.</em></u><em> ...................................... </em></h2>
3/8 * 6/7
6*3=18
8*7=56
18/56 simplified is 9/28
Answer:Must include: 65
Step-by-step explanation:
The equation x to the ninth power divided by x to the fifth power simplifies to x ... Simplify an exponent raised to another power by multiplying the exponents together. Simplifying x to the third power raised to the fourth power produces x to the 12th power [(x3)4 = x12], ... Since √49 = 7, the fraction can be simplified to √5 ÷ 7.
Missing: 65 | Must include: 65
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