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Ivahew [28]
4 years ago
5

What is the solution(s) to f(x) = g(x), where f(x) = x^2−2 and g(x) = 5x − 8

Mathematics
1 answer:
babymother [125]4 years ago
5 0

If f(x)=g(x), than x²-2=5x-8

Now we need to solve this equation

x^2-2=5x-8\\x^2-5x+6=0\\D=b^2-4ac=(-5)^2-4\times6=25-24=1=\sqrt{1} ^2\\x_1=\dfrac{5+1}{2}=3\\ x_2=\dfrac{5-1}{2} =2

Answer: 2, 3

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Find the slope of the line that contains the points named.
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Answer:

M= 0

Step-by-step explanation:

the ys are the same

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3 years ago
M and n are parallel lines cut by a transversal.<br> What is the value of x + y?
slava [35]

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180°

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8 0
3 years ago
Answer the following
serg [7]

Answer:

Step-by-step explanation:

61)4 + 5(p-1) = 34     {Distributive property}

    4 + 5p - 5 = 34   {Add like terms}

         5p - 1   = 34     {Add 1 to  both sides}

             5p  = 34+1

              5p = 35  {Divide both sides by 5)

                p  = 35/5

               p = 5

62)    Smaller angle = x

Larger angle = x +50

x + (x +50) = 180       {Supplementary angles}

 2x + 50   = 180  {Subtract 50 from both sides}

          2x  = 180 -50

            2x = 130

              x = 130/2

            x = 65

Smaller angle = 65

Larger angle = 65 + 50 = 115

63) ΔBAD , ΔBCD

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64) Selling price = ₹ 5500

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6 0
3 years ago
How to find the vertex of a quadratic function?
slamgirl [31]
The formula for a quadratic function is y=ax^2+bx+c.
The vertex is h, k. This can be found by evaluating y to get k, and dividung -b by a in order to get h.

Hope this helps!
6 0
4 years ago
Read 2 more answers
How do you do this the test is tomorrow and I forgot how to do this?
MrRa [10]
Some things you need to know:

1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.

2) When two lines are parallel, the slopes are the same.

3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
    example: 3/4 --> -4/3.
                    3/4 * -4/3 = -12/12 = -1

4) To find the value of b, substitute the point into the equation.

5) Convert the equation to slope y-int. form to find the slope.

6) When a line has an undefined slope, the slope y-int. will look either like
    y = __ (forms horizontal line) or x = __ (forms vertical line).
    To find the perpendicular of these lines, turn y to x / x to y.
    To find the value of __, look at the point located in the line, so if x = ___
    passes through (5,3), then x = 5 because x = 5 in the point. So the
    equation would be x = 5.

Use online practice tests and other sources if you don't understand.
5 0
3 years ago
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