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Oksanka [162]
3 years ago
8

Given the equation 4x - 3y = 12

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

4x - 3y = 12

Solve for y

Subtract 4x from each side

4x-4x - 3y =-4x+ 12

-3y = -4x+12

Divide by -3

-3y/-3 = -4x/-3 + 12/-3

y = 4/3x -4

The slope is 4/3 and the y intercept is -4

The slope is Positive

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<h3>Inequalities</h3>

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

  • Inequality H

                       -11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1

Therefore, you should connect H with x<1.

  • Inequality W

                       32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2

Therefore, you should connect W with x>-2.

  • Inequality M

                       3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12

Therefore, you should connect M with x≤-12.

  • Inequality Y

                       -7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\  -7x\leq -63\; *(-1)\\ \\ 7x\geq  63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9

Therefore, you should connect Y with x≥9.

  • Inequality C

                       -20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5}  \\ \\ x\geq 7

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - x\leq -12

C - x\geq 7

Y- x\geq 9

H- x < 1

W- x > -2

Read more about inequalities here.

brainly.com/question/25275758

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