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4 years ago

Find the restricted values of x. -1/8x-2

Mathematics

1 answer:

Dmitry [639]4 years ago

3 0

x = $\frac{1}{4}$ is the restricted value

the denominator of the fraction cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be

solve : 8x - 2 = 0 → 8x = 2 → x = $\frac{1}{4}$

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Which expression has a value that is equivalent to the given expression when n = 8?

mrs_skeptik [129]

Q1.

Put the value of n = 8 to the expressions:

2n + 10 → 2(8) + 10 = 16 + 10 = 26

A: 3n → 3(8) = 24 ≠ 26

B: 2(n + 5) → 2(8 + 5) = 2(13) = 26 :)

C: n² + 5 → 8² + 5 = 64 + 5 = 69 ≠ 26

D: 10n + 2 → 10(8) + 2 = 80 + 2 = 82 ≠ 26

<h3>Answer: B: 2(n + 5)</h3>

Q2.

x = 3, y = 2

L = 5y² - 2x → L = 5(2)² - 2(3) = 5(4) - 6 = 20 - 6 = 14

R = x² + ... → R = 3² + ... = 9 + ...

A: x² + x → 9 + 3 = 12 NOT

B: x² + y → 9 + 2 = 11 NOT

C: xy → 9 + (3)(2) = 9 + 6 = 15 YES

D: 2y → 9 + (2)(2) = 9 + 4 = 13 NOT

5y² - 2x < x² + xy

L = 14, R = 15, L < R CORRECT

<h3>Answer: C: xy</h3>

Q3.

3 + 6² = 3 + 36 = 39

A: 3³ + 12 = 27 + 12 = 39 NOT

B: 5² + 4² = 25 + 16 = 41 > 39 YES

C: 2³ + 5² + 6 = 8 + 25 + 6 = 39 NOT

D: 2³ + 14 + 17 = 8 + 14 + 17 = 39 NOT

<h3>Answer: B: 3 + 6² < 5² + 4²</h3>

6 0

4 years ago

Suppose 15 quarts of a solution that is 35% antifreeze is mixed with 5 quarts of a solution that is 72% antifreeze. 1.how many q

Finger [1]

Answer:

1. 8.85 quarts

2. 44.25%

Step-by-step explanation:

In 15 quarts of a solution with percentage of antifreeze = 35%

Amount of antifreeze = 35% × 15

= 0.35 × 15

= 5.25 quarts

that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%

Amount of antifreeze = 72% × 5

= 0.72 × 5

= 3.6 quarts

Total amount of mixture = 15 quarts + 5 quarts = 20 quarts

1. Now we will calculate the total amount of antifreeze in the resulting mixture.

= 5.25 + 3.6 = 8.85 quarts

2. The percentage of the resulting mixture is antifreeze

= $\frac{8.85}{20}\times 100$

= 44.25%

1. total amount of antifreeze is 8.85 quarts

2. the percentage of antifreeze is 44.25%

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%2816%20%2B%204p%29%20%3D%20" id="TexFormula1" title=" \frac{1}{4}

Leviafan [203]

Hopefully this helps :D

7 0

3 years ago

Helppppppppppppppppppppppppppp me plz

Anit [1.1K]

Yes they are equivalent expressions. If you take the z to the power of two, and subtract that from the other z to the power of two, it is zero. So you are left with four which is the answer

6 0

3 years ago

Find the measure of x

Jobisdone [24]

Answer:

Wdym

Step-by-step explanation:

6 0

3 years ago