A quadratic equation is in the form of ax²+bx+c. The time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
<h3>What is a quadratic equation?</h3>
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The complete question is:
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 31 ft/s. The ball's height h (in feet) after 7 seconds is given by the following, h=2+31t-16t². Find all values of t for which the ball's height is 16 feet. Round your answer(s) to the nearest hundredth.
The time at which the height of the ball is 16 feet can be found by,
h = 2 + 31t - 16t²
16 = 2 + 31t - 16t²
16 - 2 - 31t + 16t² = 0
16t² - 31t + 14 = 0
t = 0.717 , 1.221
Hence, the time at which the height of the ball is 16 feets is 0.717 seconds and 1.221 seconds.
Learn more about Quadratic Equations:
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The answer is easy
So we need to fund m2NLM
The answer is c
Answer:
x=11, y=8/3
Step-by-step explanation:
Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then
LM=NO
and
LO=MN
Thus,
Solve this system of two equations. From the first equation:
Substitute it into the second equation:
Answer:
Grand coffee cup = 1469 gm
Jumbo coffee cup = 60 gm
Step-by-step explanation:
Let x be the grande coffee cup and y be the jumbo coffee cup.
Solution:
From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.
So, the equation is.
---------(1)
From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.
----------(2)
Solve the equation 1 for x.
---------(3)
Substitute in equation 2.
Using cross multiplication.
y ≅ 60 gram
Substitute y = 60 in equation 3.
grams
Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm
