The table below represents a linear function f(x) and the equation represents a function g(x):
1 answer:
Note that a straight line has an equation of the form
y = m*x + b
where
m = the slope
b = the y-intercept
Part A
The function f(x) is given by the table
x -1 0 1
f(x) -3 0 3
Because f(0) = 0, the y-intercept is zero.
The slope is
m = (3 - (-3))/(1 - (-1)) = 6/2 = 3
Therefore
f(x) = 3x
g(x) = 7x +2
It has a slope of 7, and y-intercept of 2.
A plot of the two functions is shown below.
Answer:
The slope of f(x) is 3.
The slope of g(x) is 7.
Part B.
f(x) has a y-intercept of 0.
g(x) has a y-intercept of 2.
Answer:
g(x) has the greater y-intercept.
y = m*x + b
where
m = the slope
b = the y-intercept
Part A
The function f(x) is given by the table
x -1 0 1
f(x) -3 0 3
Because f(0) = 0, the y-intercept is zero.
The slope is
m = (3 - (-3))/(1 - (-1)) = 6/2 = 3
Therefore
f(x) = 3x
g(x) = 7x +2
It has a slope of 7, and y-intercept of 2.
A plot of the two functions is shown below.
Answer:
The slope of f(x) is 3.
The slope of g(x) is 7.
Part B.
f(x) has a y-intercept of 0.
g(x) has a y-intercept of 2.
Answer:
g(x) has the greater y-intercept.
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Answer:
Read below.
Step-by-step explanation:
Wrong:
(2.5 x 10^9) + (5.3 x 10^8) =
(2.5 + 5.3) x (10^9 x 10^8) =
7.8 x 10^7=
7.8 x 10,000,000=
780,000,000
<u>Bold is edited by me</u>
Correct:
(2.5 x 10^9) + (5.3 x 10^8)=
(2.5 x 1,000,000,000)+(5.3 x 100,000,000)=
2,500,000,000+5,300,000,000=
7,800,000,000
The problem is that whoever wrote it swapped the numbers in the parentheses, added a pair of them together and multiplied the other pair. You are not supposed to take out the pairs and swap them if you'd like or the answer is incorrect. Second mistake is that is not
I do not know how and where you got that answer from.