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GenaCL600 [577]
3 years ago
7

Help. Picture attached.

Mathematics
1 answer:
Phoenix [80]3 years ago
5 0
4) A f is continuous at x=c
5) B if f is not differentiable at x=c, then f is not continuous at x=c
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Given various values of the linear functions f(x) and g(x) in the table, determine the y-intercept of (f- g)(x).
lisabon 2012 [21]

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:

y = \frac{y_2 -y_1}{x_2-x_1} * (x -x_1) + y_1

So, we have:

f(x) = \frac{11 -15}{-4 + 6} * (x + 6) + 15

Evaluate

f(x) = -2x + 3

Also, we have:

g(x) = \frac{-26 + 36}{-4 + 6} * (x + 6) - 36

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:

brainly.com/question/24896196

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7 0
2 years ago
Identify the range of the function shown in the graph.​
Kitty [74]

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y \geq \\ 0 because it passes through 0 when the line goes through x (side to side) axis.

6 0
3 years ago
S/4 -7 =9<br> any help solving this question?
sasho [114]

Answer:

S=64

Step-by-step explanation:

if the s is what your looking for

5 0
3 years ago
Read 2 more answers
Construct perpendiculars image below
Marysya12 [62]

Answer: draw a straight line trough point B, same thing with the second one,for the third you must draw a straight line from the angle across to the segment. (make sure all of the intersections are 90 degrees

5 0
3 years ago
1. Libby is calculating her net worth. Her
natulia [17]

Answer:

$119,703

Step-by-step explanation:

This question is easy, it is just $87,545 plus $32,158

5 0
3 years ago
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