( will give brainlyest)
2 answers:
Answer:
Step-by-step explanation:
**Note: The polynomial in question is -16t² + 160t, as clarified in the discussion under the question.**
Since there is a polynomial to find the height given a certain time, the height is a function of time.
This function would be h(t) = -16t² + 160t, so plugging in 4 for t would give the height.
<em>[Squaring 4]</em>
<em /> <em>[Multiplying]</em>
<em /> <em>[Combining both terms]</em>
Hence, the <u>height</u> of the firework after 4 seconds is 384 feet.
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Answer:
A. (–8, 2)
Step-by-step explanation:
(1) y = ½x + 6
(2) y = -¾x – 4 Set (1) = (2)
½x + 6 = -¾x – 4 Multiply each side by 4
2x + 24 = -3x – 16 Add 16 to each side
2x + 40 = -3x Subtract 2x from each side
40 = -5x Divide each side by -5
(3) x = -8 Substitute (2) into (1)
y = ½(-8) +6
= -4 + 6
= 2
The solution to the system of equations is (-8 ,2).
You can see the graphs of the two functions in the figure below. The two lines intersect at (-8, 2).
Check:
2 = ½(-8) + 6 2 = -¾(-8) - 4
2 = -4 +6 2 = 6 - 4
2 = 2 2 = 2
