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Irina-Kira [14]
3 years ago
11

Solve the equation by completing the square. 0=4x^2-72x

Mathematics
2 answers:
Butoxors [25]3 years ago
6 0

Answer:

Step-by-step explanation:

First we need to make sure that the leading coefficient is a 1.  Ours is a 4, so we need to factor it out, leaving us with

4(x^2-18x)=0

To complete the square, take half the linear term, square it, then add it to both sides.  But don't forget about that 4 hanging around out front, refusing to be ignored.  Our linear term is 18.  Half of 18 is 9, and 9 squared is 81.  Add 81 into the parenthesis, but what we REALLY added in was 4*81 which is 324:

4(x^2-18x+81)=324

To solve this, we need to get the x terms all by themselves.  So let's divide both sides by 4 to get

x^2-18x+81=81

The process of completing the square created a perfect square binomial on the left.  We will state this binomial now:

(x-9)^2=81

We isolate the x term by taking the square root of both sides:

x - 9 = ±9

From that we have 2 equations:

x - 9 = 9 and x - 9 = -9

Which means that x = 18 or x = 0

Gnom [1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.​
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Answer:

33.7º

Step-by-step explanation:

tan  = opp/adj

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∅ = 33.690067525979787

33.7º

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Solve for b in: (2B/x)-Q=Z
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B = (zx/2)+ (qx/2)

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7 0
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I scream for ice cream sells specialty ice cream in three​ flavors: rocky​ road, peanut​ butter, and fruity tooty. it sold​ 17,0
oksian1 [2.3K]
---------------------------------------------------------------------
Find Sales Price of 5 gallons of ice-cream:
---------------------------------------------------------------------
Sales price of Fruity Tooty = $6.00
Sales price of Peanut Butter = $5 x 2 = $10.00
Sales price of Rocky Road = $5.25 x 2 = $10.50
Total Sales Per 5 gallon = $6 + $10 + $10.50 = $26.50

---------------------------------------------------------------------
Find Variable Cost of 5 gallons of ice-cream:
---------------------------------------------------------------------
Variable Cost of Fruit Tooty = $5.25
Variable Cost of Peanut Butter = $4.50 x 2 = $9.00
Variable Cost of Rocky Road = $4 x 2 = $8.00
Total Variable Coast = $5.25 + $9 + $8 = $22.25

---------------------------------------------------------------------
Fixed Cost Given:
---------------------------------------------------------------------
Fixed Cost = $7500

---------------------------------------------------------------------
Define x:
---------------------------------------------------------------------
Let x be the number of 5 gallons that need to be sold to breakeven:

---------------------------------------------------------------------
Find x:
---------------------------------------------------------------------
26.50x = 7500 + 22.25x

26.50x - 22.25x = 7500

4.25x = 7500

x = 7500 ÷ 4.25

x = 1764.7 (Nearest tenth)

---------------------------------------------------------------------
Find the number of gallons of ice-cream needed:
---------------------------------------------------------------------
Total number of 5 gallons needed = 1764.7

Total gallons needed = 1764.7 x 5 =8823.5

---------------------------------------------------------------------
Answer: I sceam needs to sell 8823.5 gallons of ice cream to break even.
---------------------------------------------------------------------

8 0
3 years ago
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