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konstantin123 [22]
3 years ago
13

8x=4x^2-1 solve by completing the square

Mathematics
2 answers:
Klio2033 [76]3 years ago
7 0
Get the x terms by themselves on one side and a constant on the other side of the equal sign...

4x^2-8x=1  make the leading coefficient equal to one...

x^2-2x=1/4  now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so

x^2-2x+1=1+1/4

x^2-2x+1=5/4  now the left side is a perfect square...

(x-1)^2=5/4  take the square root of both sides...

x-1=±√(5/4)  add 1 to both sides

x=1±√(5/4)
bija089 [108]3 years ago
3 0
Isolate the 1: 4x^2-8x=1
Since "a" is a perfect square use the formula b^2/4a: (-8)^2/4(4)= 4
Add 4 into both sides of the equation:
4x^2-8x+4=1+4
Ur new equation should be:
4x^2 - 8x + 4 = 5
Factor: (2x-2)^2=5
Solve for x by getting the square root of 5 to get rid of the square on the (2x-2)^2 side and you would get:
2x-2 = +-2.2
solve for x: x= 2.1 x= -0.1
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stealth61 [152]
Y = 3/5x + b
3 = 3/5(-1) + b
3 = -3/5 + b, b = 3 3/5
Y = 3/5x + 3 3/5
7 0
3 years ago
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Ms. Walker's class set up an online fund with a goal to raise $1,280 to go on a field trip. Ms. Walker starts the fund by deposi
madreJ [45]
What you can use for this case is a function of the potential type.
 We have then
 y = a (b) ^ x
 Where we have:
 Walker starts the fund by depositing $ 5
 a = 5
 Each week the balance of the fund is twice the balance of the previous week:
 b = 2
 The function is:
 y = 5 (2) ^ x
 The number of weeks to reach $ 1280 is 8 weeks.
 Check:
 y = 5 (2) ^ 8
 y = 1280
 Answer:
 An equation can be used to find the number of weeks, x, after which the balance of the fund will reach $ 1,280 is:
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 The number of weeks that it takes to reach the class goal is
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4 0
3 years ago
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? Question
dezoksy [38]

Answer:

4 ft

7.2 ft

20 ft

Step-by-step explanation:

When the balloon is shot, x = 0.

y = -0.05(0)² + 0.8(0) + 4

y = 4

The balloon reaches the highest point at the vertex of the parabola.

x = -b / 2a

x = -0.8 / (2 × -0.05)

x = 8

y = -0.05(8)² + 0.8(8) + 4

y = 7.2

When the balloon lands, y = 0.

0 = -0.05x² + 0.8x + 4

0 = x² − 16x − 80

0 = (x + 4) (x − 20)

x = -4 or 20

Since x > 0, x = 20.

8 0
3 years ago
Javier had $305 in his bank account. His bank charges a monthly fee of $7.50.
EastWind [94]

Answer:

$282.50

Step-by-step explanation:

He will be charged $7.50 for 3 months, which is a total of 7.5 * 3 = $22.50.

Subtract this from the amount in his account to find the amount of money he has at the end of the three months:

305 - 22.5 = 282.5

The answer is therefore $282.50.

6 0
3 years ago
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Which decimal is closest in value to the fraction below 1/9 ?<br>a) 0.111<br>b) .33333<br>c) 0.7
frosja888 [35]
1/9=0.11111.....
so the correct option is (a).
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