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Brrunno [24]
2 years ago
9

Please Please PLEASE help me

Mathematics
1 answer:
MrMuchimi2 years ago
6 0

Answer:

x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}

Step-by-step explanation:

First, we need to get the equation into the polynomial form. Add 8 to both sides:

-6x^{2} -2-3x=-8

-6x^{2} +6-3x=0

Rearrange the equation so that it is in standard form:

-6x^{2} -3x+6=0

Remember the quadratic formula:

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

a, b, and c are the coefficients of the problem when it is in standard form. In this case, a=-6, b=-3, and c=6. Now, all we need to do is plug those into the quadratic formula.

\frac{-(-3)+/-\sqrt{(-3)^{2}-4(-6)(6)} }{2(-6)}

Simplify:

\frac{3+/-\sqrt{153}}{-12}

x=\frac{-1}{4} +/-\frac{1}{4}\sqrt{17}

Hope this helps!

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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}

          =-\frac{1}{4}+\frac{3}{2}

          =-\frac{1}{4}+1+\frac{1}{2}

          =1+\frac{1}{4}

          =1\frac{1}{4}

So, f(-\frac{1}{2} )=-2 is false.

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}

    = \frac{3+1}{2}

    = 2

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

Option 4

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

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       =2\frac{1}{2}

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}

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True.

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

5 0
3 years ago
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<u>Given</u>:

The given equation is x^{2} -3x-7=0

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

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From the equation the values are a = 1, b = -3 and c = -7

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Hence, Option A is the correct answer.

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