Answer:
x = 7/3
Step-by-step explanation:
4x - 2 = x + 3 + 2
4x - 2 = x + 5
Rearranging the terms, we get,
4x - x = 5 + 2
3x = 7
x = 7/3
Hence, x = 7/3.
For this case, we have the following expression:
We simplify the expression:
If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that 
So, we have to:
Answer:
-3x + x + 5 = -2x + 5
The <em>correct answer</em> is:
He paid the correct amount.
Explanation:
First we find the subtotal of Manny's items:
32.65+3(14.89)+39.99 = 32.65+44.67+39.99 = 117.31
Next, we calculate the discount. If he gets 10% off, this means he pays 100%-10% = 90% of the total. 90% = 90/100 = 0.9:
0.9(117.31) = 105.579
Next we calculate the tax. Since tax is 8%, this means he pays 100% of his subtotal after discount plus the 8% tax; 100%+8% = 108%; 108% = 108/100 = 1.08:
1.08(105.579) = 114.02532 ≈ 114.03
Since this is what he paid, he paid the correct amount.
Answer:
x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
Step-by-step explanation:
Solve for x:
2 x^2 - 4 x + 9 = 0
Divide both sides by 2:
x^2 - 2 x + 9/2 = 0
Subtract 9/2 from both sides:
x^2 - 2 x = -9/2
Add 1 to both sides:
x^2 - 2 x + 1 = -7/2
Write the left hand side as a square:
(x - 1)^2 = -7/2
Take the square root of both sides:
x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)
Add 1 to both sides:
Answer: x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)
