Which table correctly shows all the sample spaces for tossing a coin and rolling an even number on a six-sided number cube?
1 answer:
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The equations are in slope intercept form which is
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
y = mx+b
m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.
the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x
the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.
for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x
i attached a picture of the graphed lines
Answer:
Part A: The rate of change was greater in case of the graph.
Part B: The figure shows the graph of function A in Redline and Function B in blue line
Part C : Initial value of function B is greater than Function A.
Step-by-step explanation:
Here, Function A show graph of a line and Function show table show a set of value of x and y.
Part A). Which function show greater rate of change.
The slope of line is given by m =
For function A:
Given graph passes through points (04) and (2,12)
The slope of line is m=
=
= 4
For function B:
Given the table has points (012) and (2,14)
The slope of line is m=
=
= 1
Therefore, The rate of change was greater in case of graph.
Part B). Plot the graph of a function B onto the graph of a function A
The figure shows the graph of function A in Redline and Function B in blueline
Line of function A is more tilted toward the y-axis than Line of function B.
Therefore, Rate of change of function A is greater than Function B.
Part C). Which function has greater initial value?
For function A:
From the graph of part B,
When x=0 y=4
For function B:
From the graph of part B,
When x=0 y=12
Therefore, Initial value of function B is greater than Function A.
