The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
<h3>How to determine the solution?</h3>
The equation is given as:
3 − 2|0.5x + 1.5| = 2
Subtract 3 from both sides
-2|0.5x + 1.5| = -1
Divide both sides by -2
|0.5x + 1.5| = 0.5
Expand the equation
0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5
Subtract 1.5 from both sides
0.5x = -1 or 0.5x = -2
Divide both sides by 0.5
x = -2 or x = -4
Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4
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-6x - 10 > 14 + 2x
<u>-2x </u> <u> -2x </u>
-8x - 10 > 14 THIS IS THE MISSING STEP
<u> +10</u> <u>+10 </u>
-8x > 24

x < -3
Answer: x < -3
Answer:
u shouldnt wasnt your points u know
Step-by-step explanation:
Answer:
Selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .
Step-by-step explanation:
Let us assume that the selling price of hockey game set be x .
As given
Pyotr Tchaikovsky Sporting Goods operates on a 45% overhead based on the selling price, which results in an overhead of $65.34 on the newest version of an air hockey game set.
45% is written in the decimal form .

= 0.45
Thus the equation becomes
0.45 × x = 65.34
0.45x = 65.34

x = 145.2
Therefore the selling price of the hockey game set is $145.2 .
Thus
Markup price = Selling price + Overhead Price
= $145.2 + $65.34
= $ 210.54
As given
If the air hockey game set costs Pyotr Tchaikovsky Sports $49.32 .
i.e Cost price of the hockey game set = $ 49.32
Profit = Selling price - Cost price
= 145.32 - 49.32
= $ 96
Therefore selling price of hockey game set is $145.32 , markup price is $210.54 and profit is $96 .