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Marysya12 [62]
3 years ago
6

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
ioda3 years ago
4 0

Answer: Vertex = (0, 3)  2nd point = (1, 2)

<u>Step-by-step explanation:</u>

f(x) = -x² + 3   →   f(x) = a(x - 0)² + 3

If you use transformations with the parent graph f(x) = x², the transformation is reflected over the x-axis and shifted 3 units up.

If you use the vertex formula: f(x) = a(x - h)² + k

  • the vertex is (0, 3)       ← PLOT THIS COORDINATE
  • "a" is negative, so the parabola points downward

This equation does not factor over the rational numbers, so find a second point by choosing an x-value and plugging it into the given equation to solve for y.  <em>I chose x = 1</em>

f(1) = -(1)² + 3

    = -1 + 3

    = 2

So, an additional point is (1, 2)    ← PLOT THIS COORDINATE



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Then cross-multiply to get 40x = 120(4776) or 40x = 573120. Now divide each side by 40 to isolate the variable. 

X = 14328. 

120 lawn mowers would cost $14,328. 
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PLEASE HELP!! ASAPPP<br><br> Which equation has exactly one solution?
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John spent about 12 hours at a water park. He estimated he spent about 40% of the time waiting in line. What would be a reasonab
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3 years ago
A water tank can be filled in 10 hours by an inlet pipe and empited in 14 hours by an outlet pipe.How long will it take to fill
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t = amount of hours it takes to fill the tank.


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keeping in mind both have done in 1 hour, only 1/t of the whole thing.


\bf \stackrel{\textit{total work done so far in 1 hour}}{\stackrel{\textit{inlet pipe's rate}}{\cfrac{1}{10}}~~-~~\stackrel{\textit{outlet pipe's rate}}{\cfrac{1}{14}}~~=~~\stackrel{\textit{work done}}{\cfrac{1}{t}}} \\\\\\ \cfrac{14-10}{140}=\cfrac{1}{t}\implies \cfrac{4}{140}=\cfrac{1}{t}\implies 4t=140\implies t=\cfrac{140}{4}\implies t=35

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Answer:

Option A

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Sarah took 4 days to write a paper.

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On day 2, she wrote number of pages = 15

On day 3, she wrote number of pages = 9

On day 4, she wrote number of pages = P

She wrote total number pages in 4 days = 12 + 15 + 9 + P

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Therefore, P + 36 = 48

P = 48 - 36

P = 12

She wrote 12 pages on day 4.

Option A is the answer.

3 0
3 years ago
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