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Akimi4 [234]
3 years ago
15

Solve for x 9 - x < 17 btw the < has the line underneath it!

Mathematics
1 answer:
Radda [10]3 years ago
7 0

Answer:

Step-by-step explanation:

9 - x ≤17

At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.

We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.

Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.

9 - x ≤ 17                        Add x to both sides

9 - x+x ≤ 17 + x              Combine

9 ≤ 17 + x                      Subtract 17 from both sides.

9 - 17 ≤ 17 - 17 + x

8 ≤ x

Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.

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4 0
3 years ago
Read 2 more answers
This system has one solution. {y=5x−9y=x2−3x+7 What is the y-coordinate of the solution?
BlackZzzverrR [31]
The y-coordinate of the solution is 11.

Both equations have y isolated.  We will use substitution for this system:

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We want to gather all of the variables on one side, so we will subtract 5x from each side:

5x-9-5x=x²-3x+7-5x
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We want the equation to be equal to 0 to solve it, so we will add 9 to both sides:

-9+9=x²-8x+7+9
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This is easy to factor; factors of 16 that sum to -8 are -4 and -4:
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Since these are the same factor, we solve it to get our answer:
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Substitute this into the first, linear, equation:
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3 0
3 years ago
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
AlexFokin [52]

Answer:

84

Step-by-step explanation:

p^2-r^2= 10^2-(-4)^2

100-16=84

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