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DerKrebs [107]
3 years ago
13

Solve the equation by the Quadratic Formula. x^2+3=9x

Mathematics
2 answers:
Nadya [2.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

Rearrange the given x^2+3=9x in standard quadratic form:

1x^2 - 9x +3 = 0

Then the three coefficients are a = 1, b = -9 and c = 3.

The discriminant is √(b^2 - 4ac), or √(81 - [1][3]), or √78.

                                        ± √78

Thus, the roots are x = ----------------

                                               2

stiks02 [169]3 years ago
3 0

Step-by-step explanation:

the 9x from the equation can be shifted into the equation and therefore x² + 3 = 9x can be also written as

x² - 9x + 3 = 0

then using the quadratic formula

x =  \frac{ - b  \frac{ + }{ - }  \sqrt{b {}^{2} - 4ac } }{2a}

a = 1

b = -9

c = 3

substitute the values into the equation ,

insert it in your scientific calculator and you will have the answer of

x = 8.65 or x = 0.35

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Natali [406]

Answer:

x = -\frac{41}{19}

y = \frac{7}{19}

Step-by-step explanation:

2x = 10y - 8

3x + 4y + 5 = 0

2x = 10y - 8

x = 5y - 4

3x + 4y + 5 = 0

3 ( 5y - 4 ) + 4y + 5 = 0

19y - 7 = 0

19y = 7

y = \frac{7}{19}

x = 5y - 4

x = 5 ( \frac{7}{19} ) - 4

x = -\frac{41}{19}

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3 years ago
ellen had 25 hair clips,7 of them were blue and the rest are purple.what percent of hair clips were purple
strojnjashka [21]
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____=____
  25     100

cross multiply
25x=1800
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3 years ago
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Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?
Alecsey [184]
Flip should get 4 boxes.

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Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4
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Step-by-step explanation:

See attachment for steps

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3 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
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