Answer:the equation of the horizontal line passing through (4,7) is y=7 . Note − The equation of a vertical line is always of the type x=k and hence the equation of the vertical line passing through (4,7) is x=4 .
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You can multiply by -30 to clear fractions.
.. 47 ≤ 10x +60
Now, subtract 60 and divide by 10
.. -13 ≤ 10x
.. -1.3 ≤ x
The slope is 2 because slope formula
Answer: C
<u>Step-by-step explanation:</u>
4d - 6 < 18
<u> +6</u> <u>+6 </u>
4d < 24

d < 6
Graph: ←----------------o 6
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows

From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes

Factorize



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>