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babunello [35]
3 years ago
5

Solve the following system of equations by graphing and select the correct answer below:

Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer: option c

Step-by-step explanation:

Find the x-intercept and y-intercept of each line.

To find the x-intercept, substitute y=0 into the equation and solve for "x".

To find the y-intercept, substitute x=0 into the equation and solve for "y".

- For the first equation:

x-intercept

4x + 3y = 29\\\\4x + 3(0)= 29\\\\4x=29\\\\x=\frac{29}{4}\\\\x=7.25

y-intercept

4x + 3y = 29\\\\4(0) + 3y = 29\\\\3y=29\\\\y=\frac{29}{3}\\\\y=9.66

Graph a line that passes through the points (7.25, 0) and (0, 9.66)

- For the second equation:

x-intercept

2x - 3y = 1 \\\\2x - 3(0) = 1 \\\\2x=1\\\\x=0.5

y-intercept

2x - 3y = 1\\\\2(0) - 3y = 1\\\\-3y=1\\\\y=-0.33

Graph a line that passes through the points (0.5, 0) and (0, -0.33)

Observe the graph attached. You can see that point of intersection of the lines is (5,3); then this is the solution of the system. Therefore:

x=5\\y=3

ipn [44]3 years ago
4 0

ANSWER

c)x = 5, y = 3

EXPLANATION

The given system has equations:

4x + 3y = 29

and

2x - 3y = 1

We graph the above equations using a graphing software to obtain the graph shown in the attachment.

The solution to the given system is the point of intersection of the two straight lines.

From the graph, the two straight lines intersected at (5,3).

This implies that the solution to the system is:

x = 5 \: and \: y = 3

The correct answer is option is C

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4 0
3 years ago
The total commission, in dollars, Jessie earned on selling cars at a dealership in two weeks is given by the expression 800+400x
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Step-by-step explanation:

The options include:

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B. Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car.

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The situation that could be described by this expression will be option B "Jessie sold 2 cars in the first week and x number of cars in the second week, earning a commission of $400 on each car". This will be:

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7 0
3 years ago
Can someone explain major and minor arcs in relation to circles.
Lelechka [254]
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3 0
3 years ago
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sergeinik [125]
Question 1

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Question 2

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Question 3

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Answer:

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.............................................

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