Answer:
A' (2,-3)
B' (5,-5)
C' (5,-2)
D' (7,-3)
Step-by-step explanation:
I used desmos graphing calculator to help me solve
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):
x y
-1 -11
0 -1
1 9
g(x) = 5x + 1
Part A: Write a sentence to compare the slope of the two functions and
show the steps you used to determine the slope of f(x) and g(x). (6
points)
slope of the data of the table:
slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10
Also Δy / Δx = [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10
the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.
Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.
Part B: Which function has a greater y-intercept? Justify your answer.
The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.
The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.
So, both functions have equal y-intercept.
2)The table below shows the values of y for each value of x:
x y
1 0
1 -1
2 1
2 -2
Part A: Does the table represent a relation that is a
function? Justify your answer by using the values shown in the table. (4
points)
No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.
Part B: The function f(x) shown below represents the number of baskets
Jess made at different distances, x, in meters, from the hoop:
f(x) = -x + 6
Calculate and interpret the meaning of f(4). (4 points)
f(4) = - 4 + 6 = 2
It means that Jess made 2 baskets at the distant of 4 meters.
Part C: Write an ordered pair to represent the input and output of the
function in Part B when Jess is at a distance of p meters from the hoop.
(2 points)
input, p output, f(p)
6 -6 + 6 = 0
So the ordered pair is (6,0)
</span>
If your asking for the wrong absolute value of it it’s -8 but if you want the right one it’s 8 but I think the answer to your question is -8.
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❖ Carla would weigh 30 pounds.
38/100 x 78 = 29.64
29.64 rounded to the nearest pound is 30.
So, Carla would weigh 30 pounds.
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Answer: The value of the y-intercept is 
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case we know that the line passes through point 
and has a slope of 
. Then we can substitute the following values into :
Then:
And finally, we must solve for "b":
