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frosja888 [35]
3 years ago
9

What is the factored form of 64g^3 +8?​

Mathematics
1 answer:
Gelneren [198K]3 years ago
8 0

Answer:

8(2g + 1) (4g^2 - 2g + 1)

Step-by-step explanation:

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Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b
poizon [28]

The roots of the given polynomials exist  $x=8+\sqrt{10}$, and $x=8-\sqrt{10}$.

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\

$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\

$&x=8+\sqrt{10}, x=8-\sqrt{10}

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$, and

$x=8-\sqrt{10}$.

To learn more about quadratic equations refer to:

brainly.com/question/1214333

#SPJ4

3 0
1 year ago
Read 2 more answers
You and a friend each roll a standard die to see who goes first in a board game. What is the probability that at least one of yo
saul85 [17]

Answer:

2

--

6

Step-by-step explanation:

2 over 6

8 0
2 years ago
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Re-solve please.<br><br> 2 5/6 + (-1 4/12) =
elena-s [515]

Answer:

1.5 as decimal, 1 1/2 as a fraction

Step-by-step explanation:

1. convert 2 5/6 & (-1 4/12) to a improper fraction.

17/6 and  -16/12

2. multiply 17/6 by 2 to match -16/12's denominator

17/6 * 2 = 34/12

We now have

34/12 + -16/12

A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.

We have:

\frac{34}{12}-\frac{16}{12}

Now solve. 34-16 = 18

our answer is 18/12

6 0
2 years ago
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Simply the following expressions:
Lapatulllka [165]

Answer:

6.    <u> (2x - 1) </u>

      (3x + 2)

8.   <u>     y - 3     </u>

     y² - 3y + 9

Step-by-step explanation:

6.   <u> 2x² + 9x - 5</u>

      3x² + 17x + 10

= <u>(2x - 1) (x + 5)</u>

  3x² + 17x + 10

= <u>(2x - 1)  (x + 5)</u>

  (3x + 2) (x + 5)

= <u> (2x - 1) </u>

  (3x + 2)

8.  <u>y² - 9   </u>

    y³ + 27

= <u> (y + 3) (y - 3)</u>

      y³ + 27

= <u>     (y + 3) (y - 3)     </u>

  (y+3) (y² - 3y + 9)

= <u>     y - 3     </u>

  y² - 3y + 9

5 0
2 years ago
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Leah predicts that she will need to contribute $7,000 per year for college tuition and already has $4,000 in savings. She is beg
Sveta_85 [38]

Answer:

125 Dollars

Step-by-step explanation:

Total fee = 7000

Amount in hand = 4000

Amount to be saved in 2 years = 7000 - 4000 = 3000

No of months in 2 years = 12 x 2 = 24

Per month saving = 3000 / 24 = 125 $

4 0
3 years ago
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