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julsineya [31]
3 years ago
10

Solve the inequality, show your work: -5x + 2 > 37

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Let's first move our numbers to the right

by subtracting 2 from both sides.

On the left, the +2 -2 cancels and we have -5x

and on the right, 37 - 2 simplifies to 35.

So we have -5x > 35.

Now divided both sides by -5.

However, when you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So dividing both sides by -5, we have <em>x < -7</em>.

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2 years ago
Use completing the square to solve the equation x2 - 10x = -8.
Kay [80]

Answer:

x^2 - 10x + 25 = 17

Step-by-step explanation:

Please use " ^ " to denote exponentation:

x^2 - 10x = -8

x^2 - 10x + 25 = 17

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x^2 - 10x - 25 = -33

Begin with x^2 - 10x = -8.  Here's the process for completing the square:

1.  Take half of the coefficient of x and square the result:

    (1/2)(-10) = -5, and then (-5)^2 = + 25

2.  Add this 25 to the first two terms of x^2 - 10x = -8 and also to the      constant -8:    x^2 - 10x + 25 = -8 + 25, or     x^2 - 10x + 25 = 17

3.  Match this result to one of the given possible answers.  Turns out that the given possible answer matching our result is the first one:

x^2 - 10x + 25 = 17

     

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here

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