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pashok25 [27]
3 years ago
13

(08.01) The graph shows two lines, Q and S. A coordinate plane is shown with two lines graphed. Line Q has a slope of one half a

nd crosses the y axis at 3. Line S has a slope of one half and crosses the y axis at negative 2. How many solutions are there for the pair of equations for lines Q and S? Explain your answer.

Mathematics
2 answers:
ki77a [65]3 years ago
8 0

Answer:

There are no solutions for the pair of equations.

The lines are parallel to each other

Step-by-step explanation:

Line Q has a slope of 1/2 and crosses the y axis at 3.

This mean at x=0, y=3

Using the equation of a straight line expression to find the slope

y=mx +c  where m is slope and c in the y intercept you can write the equation for Line Q as;

y=mx+c\\\\y=\frac{1}{2} x+c\\\\3=\frac{1}{2} *0+c\\\\3=c\\\\y=\frac{1}{2} x+3

For the Line S , slope is 1/2  and the line crosses the y axis at -2 , which represents the c in the equation y=mx +c

The equation for S will be

y=\frac{1}{2} x-2

Using the graphing tool to plot the two equations for line  Q and line S we notice that the lines are parallel .For solutions, they have to intersect.

Sergeeva-Olga [200]3 years ago
3 0

Answer:

There are no solutions because Q and S aren't even intersecting with each other  

Step-by-step explanation:

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Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

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Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

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f(x=3) = 15

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Note that "greater than or equal to" looks like ≥

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