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timurjin [86]
3 years ago
13

I need help please...

Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0
I'm assuming the ^11 is a typo and they meant - 11. If that is the case, then - 11 is the largest possible value.
This is because that inequality sign means "less than or equal to", so read the inequality as "y is less than or equal to - 11". This means y cannot be more than - 11, thus - 11 is the greatest possible value for y
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Step-by-step explanation:

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Which of the following are solutions to the equation below?
scoundrel [369]

Answer:

The correct options for the solution values are:

  • x=2\sqrt{2}-5
  • x=-2\sqrt{2}-5

Step-by-step explanation:

Given the expression

x^2+10x+25=8

Subtract 25 from both sides

x^2+10x+25-25=8-25

Simplify

x^2+10x=-17

Add 25 or 5² to both sides

x^2+10x+5^2=8

as

x^2+10x+5^2=\left(x+5\right)^2

so the expression becomes

\left(x+5\right)^2=8

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x+5=\sqrt{8}

Subtract 5 from both sides

x+5-5=2\sqrt{2}-5

x=2\sqrt{2}-5

solve

x+5=-\sqrt{8}

Subtract 5 from both sides

x+5-5=-2\sqrt{2}-5

x=-2\sqrt{2}-5

Therefore, the solution to the equation

x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5

Hence, the correct options for the solution values are:

  • x=2\sqrt{2}-5
  • x=-2\sqrt{2}-5

6 0
3 years ago
EXTRA POINTS!!! Write a system of three inequalities that has (2, 1) in the solution set.
Alex17521 [72]
Your system could be anything, just remember that input should be half than the output.

So, y ≥ 1/2x
5y ≥ 5/2x
10y ≥ 5x

Hope this helps!
5 0
3 years ago
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