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VikaD [51]
3 years ago
13

How many solutions will the following system of linear equations have?

Mathematics
1 answer:
devlian [24]3 years ago
8 0
For the answer to the question above, 
2x + 4y = –7 (1)
y = -1/2x + 5 (2)
Putting (2) into (1), we have:
-2x + 4(-1/2x + 5) = -7
-2x - 2x + 5 = -7
-4x = -7 - 5 = -12
x = -12/-4 = 3
y = -1/2(3) + 5 = -3/2 + 5 = 7/2
Therefore there is only one solution
I hoipe my answer helped you. Feel free to ask more questions. Have a nice day!
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Based on the graph, what is the initial value of the linear relationship?
bonufazy [111]

<u>Answer-</u>

<em>The initial value of the linear relationship is </em><em>5</em><em>.</em>

<u>Solution-</u>

The initial value, also know as y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis or x=0 line.

As the line passes through the y-axis at 5, i.e 5 is the y intercept of the line.

Therefore, the initial value of the linear relationship is 5.

4 0
4 years ago
Read 2 more answers
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the
I am Lyosha [343]

Answer:

The Volume of the solid

V = π(1365.33) cubic units

Step-by-step explanation:

<em>Step(I)</em>:-

Given curves are  x²- y² = 64 ,  x=0 , y=-8 and y=8

The given function   x = f(y)

                            x²- y² = 64

                            x² = y² +64

The Volume of the solid generating by revolving the region bounded by the graphs of the equations

V = \pi \int\limits^a_b {x^2} \, dx

<em>Step(ii</em>):-

the limits are  y = a = -8 and y = b=8

The Volume of the solid

              V =\pi \int\limits^8_8 {(y^2+64)} \, dx

               V = \pi (\frac{y^{3} }{3} + 64 y  )_{-8} ^{8}

              V = \pi (\frac{(8)^{3} }{3} + 64 (8) -  (\frac{(-8)^{3} }{3} +64(-8) )

             V = \pi (\frac{(8)^{3} }{3} + 64 (8) -  (\frac{(-8)^{3} }{3} +64(-8) )  = \pi (\frac{1024}{3} + 1024)

V = π(1365.33) cubic units





5 0
3 years ago
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