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1 year ago

Explain how an absolute value equation of the form |x - b|=c can have 2, 1, or solutions

Mathematics

1 answer:

Nostrana [21]1 year ago

4 0

Answer:

See below

Step-by-step explanation:

The value in the absolute brackets | x-b | can be negative or positive but the result is a positive number....

so you can have this

x-b = c <u> OR </u> x-b = -c which will often result in two solutions for x

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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

3 years ago

What is the equation of the line that is parallel to the given

andre [41]

Answer:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

Step-by-step explanation:

To develop a molecular clock, you need to find which of the following?

a sequence of molecules

the rate at which changes occur in a type of molecule

how much total change has occurred in a type of molecule from two different species

how many molecules a species has

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3 years ago

What does this mean!

DENIUS [597]

This is describing how your graph should be numbered. If I understand it, it is saying that your y-axis should be numbered by 2s while your x-axis should be numbered by 1s.

Below, I have attached an example graph that may help you understand.

8 0

3 years ago

Which equation is a linear function??

Sever21 [200]

The third equation is linear

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2 years ago

Which is the best linear model for the data shown in the scatter plot?

Studentka2010 [4]

The best linear model for the data that's illustrated will be y = 10x + 5

<h3>What is a linear model?</h3>

It should be noted that a linear model simply means model where the terms are added. It should be noted that this can be used in connection with the regression model.

Here, the best linear model for the data will be:

= (10 × x) + 5

= 10x + 5

Therefore, the best linear model for the data that's illustrated will be y = 10x + 5.

Learn more about model on:

brainly.com/question/25987747

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1 year ago