Answer:
<em>x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)</em>
Step-by-step explanation:
<u>Equations</u>
The situation can be written as an algebraic equation by setting the variables as follows:
x = first integer
x + 1 = second integer
x + 2 = third integer
x + 3 = fourth integer
x + 4 = fifth integer
x + 5 = sixth (and last) integer
The sum of all six numbers must be equal to 7 times the second number, thus:
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)
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c. x − 9y ≤ 1 is the inequality having a </span><span>shaded area above its graph.The line separating the shaded part will be a solid line as the inequality involves equals to sign.
See the attachment for the graph.</span>
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<u><em>Answer:</em></u>g = 3
<u><em>Explanation:</em></u>To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
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<span>
<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3
<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9
<u>3- Isolate the g:</u>
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<span>
g = 3
Hope this helps :)</span>