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suter [353]
3 years ago
12

The points ​(​18,21​) and ​(42,​49​) form a proportional relationship. Find the slope of the line through the points. Then use t

he slope to graph the line.
Mathematics
1 answer:
mash [69]3 years ago
4 0

Answer: 5/2

Step-by-step explanation: 49 - 42/ 21 - 18

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Solve 5x + x − 3x > −12
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Use the functions and the scenario to solve the problem.
SashulF [63]

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

<h3>How to estimate the student's answer?</h3>

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

brainly.com/question/13502804

3 0
2 years ago
graph the system of inequlities {-2x+3y&gt;3 and 4x-3y&lt;15. a solve each inequality for y show your work. graph each inequalit
Stels [109]

Answer:

See explanation

Step-by-step explanation:

1. Solve the system of two inequalities for y:

\left\{\begin{array}{l}-2x+3y>3\\ \\4x-3y3+2x\\ \\-3y1+\dfrac{2}{3}x\\ \\y>-5+\dfrac{4}{3}x\end{array}\right.

2. To graph both inequalities, first draw dotted lines -2x+3y=3 and 4x-3y=15 (dotted because the signs of inequalities are both without notion "or equal to"). Then choose appropriate part, substituting the coordinates of the origin:

-2\cdot 0+3\cdot 0=0>3\ - \ \text{false}\\ \\4\cdot 0-3\cdot 0=0

So, the origin belongs to the top part of the second inequality and to the bottom part of the first inequality. The intersection of these two regions is the solution set to the system of two inequalities (see attached diagram).

7 0
3 years ago
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