21 cars, 32 motorcycles.create a system of equations using x for cars and y for motorcycles.
multiply the top equation by 2 to prepare for elimination method
subtract terms
divide both sides by negative 2 to solve for x
x =21
plug in x into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32
Has infinitely many solutions.
Answer: Choice C
x intercept is (4,0)
y intercept is (0,2)
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Work Shown:
To find the x intercept, we plug in y = 0 and solve for x
2x+4y = 8
2x+4(0) = 8
2x+0 = 8
2x = 8
x = 8/2
x = 4
We have x = 4 pair up with y = 0. So we have (x,y) = (4,0) as the x intercept.
This is the location where the graph crosses the x axis.
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The y intercept is a similar story, but we use x = 0 to find y.
2x+4y = 8
2(0)+4y = 8
0+4y = 8
4y = 8
y = 8/4
y = 2
The value x = 0 leads to y = 2. This gets us (x,y) = (0,2) as the y intercept.
This is the location where the graph crosses the y axis.
Answer:
B). graph of increasing exponential function going through point (0, 3)
Step-by-step explanation:
Given function is 
Now we need to find about which of the given choices best describes the given function. Where given choices are:
A). graph of increasing exponential function going through point 0, 2
B). graph of increasing exponential function going through point 0, 3
C). graph of increasing exponential function going through point 0, 1
D). graph of increasing exponential function going through point 0, 4
plug x=0 into given function
Hence graph passes through point (0,3).
growth factor 1.5 is greater than 1 so that means it is increasing function.
Hence correct choice is:
B). graph of increasing exponential function going through point (0, 3)
