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erastovalidia [21]
3 years ago
14

What is the only solution of 2x2 + 8x = x2 – 16

Mathematics
2 answers:
Blababa [14]3 years ago
6 0
If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

<span>2 * x^2 + 8 * x = x^2 - 16
</span><span>2 * x^2 - x^2 + 8 * x + 16 = 0
</span>x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.
Mazyrski [523]3 years ago
4 0

Answer:

x = -4 is the only solution.

Step-by-step explanation:

The given equation is 2x² + 8x = x² - 16

We can find the value of x by solving the equation.

(2x² + 8x) - x² = (x² - 16) - x²

x² + 8x = - 16

(x² + 8x) + 16 = (-16) + 16

x² + 8x + 16 = 0

(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]

⇒ (x + 4) = 0

x = -4

Therefore, x = -4 is the only solution of the given equation.

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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

7-10-8 = -11

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A book store sells a textbook for $150. If the textbook is on sale with 12% off, and there is a sales tax of 8.25% added to the
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The textbook is $150 originally, so to find the price of the textbook on sale, multiply the original price by 12% (0.12). Then subtract 12% of 150 from 150.

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Subtract 18 from 150.

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Multiply the price of the textbook on sale by the sales tax of 8.25% (0.0825). Then add the tax price onto the sale price of the textbook.

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Add 10.89 to 132.

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4 0
3 years ago
The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl
Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

f(x)=\frac{1}{2}x+\frac{3}{2}

Option 1

f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}

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          =-\frac{1}{4}+1+\frac{1}{2}

          =1+\frac{1}{4}

          =1\frac{1}{4}

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Option 2

f(0) = \frac{1}{2}(0)+\frac{3}{2}

     = \frac{3}{2}

True.

Option 3

f(1) = \frac{1}{2}(1)+\frac{3}{2}

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    = 2

Therefore, f(1) = -1 is false.

Option 4

f(2)=\frac{1}{2}(2)+\frac{3}{2}

       =1+1+\frac{1}{2}

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Therefore, f(2) = 1 is false.

Option 5

f(4) =\frac{1}{2}(4)+\frac{3}{2}

     =2+\frac{3}{2}

     =\frac{4+3}{2}

     =\frac{7}{2}

True.

Options (1) and (5) are the correct options.

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3 years ago
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Answer:

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