The y-intercept of linear function (f- g)(x) is (0,9)
<h3>How to determine the y-intercept?</h3>
The table of values is given as:
x -6 -4 -1 3 4
f(x) 15 11 5 -3 -5
g(x) -36 -26 -11 9 14
The equations of the functions is calculated using:

So, we have:

Evaluate
f(x) = -2x + 3
Also, we have:

Evaluate
g(x) = 5x - 6
Next, we calculate (f - g)(x) using:
(f - g)(x) = f(x) - g(x)
This gives
(f - g)(x) = -2x + 3 - 5x + 6
Substitute 0 for x
(f - g)(0) = -2(0) + 3 - 5(0) + 6
Evaluate
(f - g)(0) = 9
Hence, the y-intercept of (f- g)(x) is (0,9)
Read more about linear functions at:
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The intercepts of the graph are:
x-axis interception:
.
y-axis interception:
.
See the graph of the function
in the attached image.
<h3>
Constructing a graph</h3>
For constructing a graph we have the following steps:
- Determine the range of values for x of your graph.
For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.
Replace these x-values in the given equation. For example:
When x=-4, we will have:
. Do this for the all x-values of your ranges.
See the results for this step in the attached table.
Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.
The attached image shows the graph for the given function.
<h3>
Find the x- and y-intercepts</h3>
The intercepts are points that crosses the axes of your plot. From your graph is possible to see:
x-axis interception points (y=f(x)=0) are:
.
y-axis interception point (x=0) is:
.
Learn more about intercepts of the graph here:
brainly.com/question/4504979
Answer:
Step-by-step explanation:
The answer is 2,4,3 and -9
The range is the y value
Answer:
180
Step-by-step explanation:
180-120 = 60 this is one of all the congruent angles
of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180
Solution:
we are given that
Last month, Doug's neighbor paid him $55 for 6 hours of mowing.
we have been asked that
Is this situation most likely a proportional relationship?
yes..its as proportional relationship.
Because the amount that Doug get is $55 for 6 hours
It mean for each hour Doug get is
$
It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given situation is most likely a proportional relationship.