Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
Basically just substitute
3(-2)-1-3(-2) = -6-1+6 = -1
The answer is -1.
She earned 1149, which is between 436 and 1506 so you would use the 2nd row for the information.
the tax rate says 15% for the amount over 436
so fist find the amount that is taxable:
1149 - 436 = 713
now multiply that amount by 0.15 ( 15% as a decimal)
713 * 0.15 = 106.95
now add the base tax to that amount for the total amount of tax:
106.95 + 34.90 = 141.85 total tax withheld
Step-by-step explanation:
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Hi!
In my opinion, the easiest way to solve a problem like this is to find the greatest common factor (GCF) of the numerator and denominator and then divide both numbers by the GCF.
So first we need to find the factors of 45 and 72 and find the factor that has the most value that the two numbers both have.
45: 1, 3, 5, 9, 15, and 45
72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
It looks like the GCF is 9. Now we have to divide 45 and 72 by 9.
45 ÷ 9 = 5
72 ÷ 9 = 8
So the correct answer should be:

Hope this helps :)