If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.
The 114 represents 80% of the total price before the sale. You would set up your equation as
Cost Price * 80% = Sale Price.
Sale Price = 114
80% = 80/100 = 0.8
Cost Price = 114/0.8
Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50
20% * 142.50
20/100 * 142.50
2850/100
28.50
Now subtract 28.50 from 142.50
142.50 - 28.50 = 114 which is just what you might expect.
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Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
Answer:
x < -8
Step-by-step explanation: