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yulyashka [42]
3 years ago
12

Which choices are solutions to the following equations x^2+8x-2=18

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

-4 ± 2√6

Step-by-step explanation:

Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.

Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.

Because the discriminant is positive, we know that this quadratic has two different real roots.  These roots are:

      -b ± √(b² - 4ac)

x = -------------------------

                 2a

which in this case comes out to:

       -8 ± √96          -8 ± 4√6          

x = ------------------ = ------------------- = -4 ± 2√6

             2                        2

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Step-by-step explanation:

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Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than
Dafna1 [17]

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.

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2 years ago
Please help asap!!!!!!!
koban [17]

Answer:

-2

Step-by-step explanation:

7 0
2 years ago
Which is the graph of f(x)=1/4(4)x
Dovator [93]

Answer:

Please, see attached picture

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The equation is

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Which is an exponential function, that grows rapidly to infinity as x increases.

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