PLS HELP ME ASAP Yuri surveyed randomly selected middle school students in his neighborhood. He found that around 60% of them pl
2 answers:
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y = mx + b - it's a linear function.
Two points are enough to draw a graph of a linear function.
Step-by-step explanation:
Two different ways.
1.
g(x) = f(x + 1) → put instead of x, x + 1 into function f(x) = 4x - 2:
g(x)=4(x + 1) - 2 <em>use the distributive property</em>
g(x) = 4x + 4 - 2
g(x) = 4x + 2
Choose any two x values. Put them into the equation g(x) = y and calculate the values of y.
x = -1
y = 4(-1) + 2 = -4 + 2 = -2 → (-1, -2)
x = 0
y = 4(0) + 2 = 0 + 2 = 2 → (0, 2)
The graph on the picture #1.
2.
Use the transformation of a graph of a function:
f(x) + n - shift the graph of f(x) n units up
f(x) - n - shift the graph of f(x) n units down
f(x + n) - shift the graph of f(x) n units to the left
f(x - n) - shift the graph of f(x) n units to the right
f(x) = 4x - 2, g(x) = f(x + 1)
shift the graph of f(x) q unit to the left.
Plot the graph of function f(x).
Choose any two x values. Put them into the equation f(x) = y and calculate the values of y.
x = 0
y = 4(0) - 2 = 0 - 2 = -2 → (0, -2)
x = 1
y = 4(1) - 2 = 4 - 2 = 2 → (1, 2)
Plot the graph of f(x).
Shift it 1 unit to the left.
The graph on the picture #2.
<h2>Answer:</h2>
The average speed of car is:
0.75 miles per minutes.
The equation of line is:
The table that describes the time and number of miles marked is given by:
Time Miles
0 0
4 3
8 6
Clearly we could observe that with the increase in time by every 4 minutes the number of mile increases by 3.
i.e. the average speed is calculated as the ratio of change in miles to the change in time.
Hence,
Hence, the average speed=0.75 miles per minutes.
Also we will find the equation of the lines that related the miles and time by using the two-point formula.
i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:
Here (a,b)=(0,0) and (c,d)=(4,3)
i.e. the equation is given by: