Work out the gradient of the line 3y-12x+7=0

Mathematics

2 answers:

iragen [17]2 years ago

8 0

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What is the gradient of the line 3y-12x+7=0?

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First, add 12x to both sides and subtract 7 from both sides:

3y=12x-7

Now, divide by 3 on both sides:

y=4x-7/3

The gradient, or slope, of the line is 4.

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nika2105 [10]2 years ago

7 0

Answer:

3y=12x-7

y=4x-7/3

so its 4

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Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6

bija089 [108]

Answer:

inequality form: x $\leq$ -2 or x > 3

interval notation form: (-∞,-2] ∪ (3,∞)

Step-by-step explanation:

I attached a picture that shows all the work. You begin by isolating then solving for x on both sides. Then form a solution using the information found out about x. For example, you can combine the found inequalities for x to solve that x must be GREATER than 3 while being LESS than -2. Using that you can form an line and make a line. Remember, when writing in interval notation form you always begin from the left to the right (in reference) to the number line.