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Daniel [21]
2 years ago
13

One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

Mathematics
1 answer:
SSSSS [86.1K]2 years ago
4 0

The code for Escape Room is MCYHW.

<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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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

When an equation is parallel to another, it shares the same slope.

Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)

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The slope of our parallel line will then also be 2.

<u>We can begin to plug that into point-slope form which is:</u>

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<u>Plugging in the slope, we'll have:</u>

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<u>Now, we can simplify it into slope-intercept form:</u>

y+1=2(x+4)

Distribute

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5 × 8 = 40

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