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SCORPION-xisa [38]
2 years ago
10

What is the solution of the system of equations shown in the graph below?

Mathematics
1 answer:
Nitella [24]2 years ago
3 0
(-1,-2) is the answer because the solution to a System of Equations is where the two lines intersect.
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Given:

One linear function represented by the table.

Another linear function represented by the graph.

To find:

The greater unit rate and greater y-intercept.

Solution:

Formula for slope (unit rate):

m=\dfrac{y_2-y_1}{x_2-x_1}

From the given table it is clear that the linear function passes through (0,5) and (5,15). The function intersect the y-axis at (0,15), so the y-intercept is 15.

m_1=\dfrac{15-5}{5-0}

m_1=\dfrac{10}{5}

m_1=2

So, the unit rate of first function is 2.

From the given graph it is clear that the linear function passes through (0,6) and (-4,0). The function intersect the y-axis at (0,6), so the y-intercept is 6.

m_2=\dfrac{0-6}{-4-0}

m_2=\dfrac{-6}{-4}

m_2=\dfrac{3}{2}

So, the unit rate of first function is \dfrac{3}{2}.

Now,

2>\dfrac{3}{2}

m_1>m_2

And,

15>6

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of the two functions is 15.

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If BC = CD and AB = 23, what is BD?
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BD = 46

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