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boyakko [2]
3 years ago
9

Please please help!! What X values have points on the graph.. and what are the domains of g(x)??

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0
Domain= [-2,4]
I don’t understand what the first question is asking
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If QRST below is a rectangle, find x if angle S is equal to 7x + 55.
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Because QRST is a rectangle, that means all of the angles must be a right angle, which are 90 degrees. Using this information, solve the expression by creating an equation that lets angle S = 90.

90 = 7x + 55
35 = 7x
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A​ company's stock opened the day at ​$35.48 per​ share, and the closing price the same day was ​$34.75. By how much did the pri
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decrease by $0.73

Step-by-step explanation:

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Tom bought 7 books. He has space only for 3 books in his bookshelf. In how many ways can he arrange the 3 books?
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A school typically sells 500 yearbooks each year for $50 each. The economics class does a project and discovers that they can se
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Solve the following systems by graphing.<br> 1. x + 2y = 4<br> 2x -y = 3
valina [46]

<u>Given</u>:

The system of linear equations are x+2y=4 and 2x-y=3

We need to determine the solution to the system of equations by graphing.

<u>Graphing the equation </u>x+2y=4<u>:</u>

To graph the equation x+2y=4, let us determine the x and y intercepts.

x - intercept: When y = 0, then x+2(0)=4 \implies x=4

y - intercept: When x = 0, then 0+2y=4 \implies y=2

The coordinates are (4,0) and (0,2)

Thus, the joining the coordinates of x and y intercept, we get the line for the equation x+2y=4

<u>Graphing the equation </u>2x-y=3<u>:</u>

To graph the equation 2x-y=3, let us determine the x and y intercepts.

x - intercept: When y = 0, then 2x-0=3 \implies x=-1.5

y - intercept: When x = 0, then 2(0)-y=3 \implies y=-3

The coordinates are (-1.5,0) and (0,-3)

Thus, joining the coordinates of x and y intercepts, we get the line for the equation 2x-y=3

<u>Solution:</u>

The solution of the two equations is the point of intersection of two lines in the graph.

Let us determine the solution using substitution method.

Substituting x=4-2y in the equation 2x-y=3, we get;

2(4-2y)-y=3

    8-4y-y=3

          8-5y=3

             -5y=-5

                  y=1

Thus, the value of y is 1.

Substituting y=1 in the equation 2x-y=3, we have;

2x-1=3

     2x=4

       x=2

Thus, the value of x is 2.

Therefore, the solution of the system of equations is (2,1)

6 0
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