To solve for x you have to bring the 12 to the other side
How do we do this?
Well if you think about it this is technically what the equation shows
This means to isolate x you can multiply both sides by 12 and that will cancel from the right side
can be further simplified to...
9
^^^This is the answer
Check:
3/4 = 9/12
3/4 = 3/4
Hope this helped!
~Just a girl in love with Shawn Mendes
A graph for the data (time and distance) shown in the given table is plotted in the image attached below.
<h3>What is a graph?</h3>A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
<h3>What is a linear function?</h3>A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.
In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.
By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:
y = 67.814x
Read more on graphs here: brainly.com/question/25875680
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This means x = -1 and y = 11 pair up together.
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Work Shown:
Set the two functions equal to one another. Solve for x.
f(x) = g(x)
-4x+7 = 2x+13
7 = 2x+13+4x ... adding 4x to both sides
7 = 6x+13
7-13 = 6x .... subtract 13 from both sides
-6 = 6x
6x = -6
x = -6/6 ... divide both sides by 6
x = -1
Use this x value in either function
f(x) = -4x+7
f(-1) = -4(-1)+7
f(-1) = 11
or
g(x) = 2x+13
g(-1) = 2(-1)+13
g(-1) = 11
Whichever function you pick, the input x = -1 leads to the output y = 11.
The point of intersection is (x,y) = (-1, 11)
Visual confirmation is shown below.
