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DanielleElmas [232]
2 years ago
15

A​ girls' softball team is raising money for uniforms and travel expenses. They are selling flats of bedding plants for ​$12.00

and hanging baskets for ​$27.00. They hope to sell three times as many flats of bedding plants as hanging baskets. If they​ do, their total revenue will be ​$6300. How many flats of bedding plants do they hope to​ sell?
Mathematics
1 answer:
Anon25 [30]2 years ago
8 0
300.
Steps:
27x100 = 2700
12x300=3600
3600+2700=6300
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Question: The slope of the graph of the equation Y=2x-2 is 2. What is the y-intercept <br>​
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Step-by-step explanation:

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3 years ago
Match the steps to find the equation of the parabola with focus (-1, 2) and directrix x = 5.
Archy [21]

Answer:

The matched options to the given problem is below:

Step1: Choose a point on the parabola

Step2: Find the distance from the focus to the point on the parabola.

Step3: Use (x, y).

Find the distance from the point on the parabola to the directrix.

Step4: Set the distance from focus to the point equal to the distance from directrix to the point.

Step5: Square both sides and simplify.

Step6: Write the equation of the parabola.

Step by step Explanation:

Given that the focus (-1,2) and directrix x=5

To find the equation of the parabola:

By using focus directrix property of parabola

Let S be a point and d be line

focus (-1,2) and directrix x=5 respectively

If P is any point on the parabola then p is equidistants from S and d

Focus S=(-1,2), d:x-5=0

Step1: Let P(x,y) be any point on parabola

Step2: Therefore the d=\sqrt{(x+1)^2+(y-2)^2}\hfill (1)

Step3: The perpendicular distance from p to d is

\frac{|x-5|}{\sqrt{(-1)^2+2^2}}

=\frac{|x-5|}{\sqrt{5}}\hfill (2)

Step4: equating (1) and (2)

\sqrt{(x+1)^2+(y-2)^2}=\frac{|x-5|}{\sqrt{5}}

Step5: squaring on both sides

(x+1)^2+(y-2)^2=\frac{|x-5|^2}{5}

5[(x+1)^2+(y-2)^2]=(x-5)^2

5[x^2+2x+1+y^2-2y+4-x^2+10x-25]=0

12x+y^2-2y-24=0

Step6: Equation of the parabola is

y^2-2y+12x-24=0

8 0
3 years ago
Solve the following equation |2x+3|+|x-2|=6x
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Answer:

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Combine like terms: <br>3a + 4b - 6b + 12 - 4
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