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netineya [11]
3 years ago
14

a fountain on a lake sprays water in a parabolic arch modeled by the equation y = -0.3x^2 + 3x. a beam of light modeled by the e

quation -2x + 5.5y = 19.5 passes through the fountain to create a rainbow effect. if the beam cuts the water spray at points a and b, such that point b is at a higher level than point a, what distance from the ground level is point a?

Mathematics
1 answer:
dedylja [7]3 years ago
5 0
I  believe the answer to this would be 5.44 units
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Find the parabola through
Anni [7]

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

3 0
3 years ago
Two boys divided $3.36 so that one boy received 12 cents less than three times as much as the other. How was the money divided?
Fed [463]
Let's first convert that amount of money into cents, which makes 336 cents. Then, let's denote the amount of money one of the boys has with x. The other boy has got 3x-12 amount of money. We can construct an equation. 3x-12+x=336. Solving it we find that x=87 cents or $ 0.87 and the other boy holds $2.49 amount of money.
7 0
3 years ago
Which ordered pair is a solution to the equation? y=x3/4
Leni [432]

Answer:

(8,6)

Step-by-step explanation:

y=x3/4

y=8(3/4)

y=24/4

y=6

when you input 8 for x, you get 6 for y.

6 0
3 years ago
Read 2 more answers
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Elina [12.6K]

Answer:A

Step-by-step explanation:

4 0
3 years ago
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kotykmax [81]

Answer:

Option d. is correct answer.

Step-by-step explanation:

<em>f(x) = [x]</em><em> </em>is the absolute value parent function.

7 0
3 years ago
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