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OleMash [197]
3 years ago
11

Enter an equation in slope-intercept form for the line that passes through (0, 0) and is parallel to the line described by y = −

3/4x + 5.
Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

Step-by-step explanation:

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A bag of chips weighs 228 grams. If each chip weighs 0.12 grams, how many chips are in the bag?
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CHECK ALL ANSWERS THAT APPLY*
Musya8 [376]

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after  launch is given by the equation h(t) = -16t^2 + 120t + 8

We need to find how many seconds  until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation h(t) = -16t^2 + 120t + 8 we can find time t

We have h(t)=40

h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0

Now, we will solve the quadratic equation using quadratic formula: t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

We have a =16, b=-120 and c=32

Putting values and finding t

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28

So, we get t= 7.22 and t=0.28

The correct options are Option A and Option G

4 0
3 years ago
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