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stich3 [128]
3 years ago
15

Graph a line that contains the point (−6,1) and has a slope of 5

Mathematics
1 answer:
Alexus [3.1K]3 years ago
4 0

Answer:

y=5x+31

Plot points at: (-4,11), (-6,1), (-3, 16)

Step-by-step explanation:

y-1=5(x+6)

y-1=5x+30

y=5x+31

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Determine if the conclusion follows logically from the premises. Is this a valid or invalid argument?
Oksi-84 [34.3K]

Answer:

Valid Argument

Step-by-step explanation:

An argument is valid if its conclusion follows with certainty from its premises.

Given:

Premise: If it has an engine, I can fix it.

Premise: Cars have engines.

Conclusion: I can fix cars.

The argument is valid since the conclusion follows with certainty from the given premises.

7 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

\frac{3^n * 3^4 - 3^n}{16}

Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0
3 years ago
What is 4 1/12 equivalent to?
marusya05 [52]
9/2 or 4.5

hope this helps:)
3 0
3 years ago
Read 2 more answers
The number of employees at a company is decreasing by 9.5% yearly. Currently there are 12,640 employees working at the company.
pychu [463]

Answer:

12546

Step-by-step explanation:

9.5% = 0.95 = 95

12,640 - 95 = 12546

5 0
3 years ago
HELP I GIVE 15 POINTS
ExtremeBDS [4]

Answer:

Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

<u><em>His car get 32.4 miles per gallon</em></u>

8 0
3 years ago
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