bearing in mind that an absolute value expression is in effect a piece-wise expression, because it has a ± version.
![\bf 3|x|+7=28\implies 3|x|=21\implies |x|=\cfrac{21}{3}\implies |x|=7\implies \begin{cases} +(x)=7\\ -(x)=7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ +(x)=7\implies \boxed{x=7}~\hfill -x=7\implies \boxed{x=-7}](https://tex.z-dn.net/?f=%20%5Cbf%203%7Cx%7C%2B7%3D28%5Cimplies%203%7Cx%7C%3D21%5Cimplies%20%7Cx%7C%3D%5Ccfrac%7B21%7D%7B3%7D%5Cimplies%20%7Cx%7C%3D7%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%2B%28x%29%3D7%5C%5C%20-%28x%29%3D7%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%2B%28x%29%3D7%5Cimplies%20%5Cboxed%7Bx%3D7%7D~%5Chfill%20%20-x%3D7%5Cimplies%20%5Cboxed%7Bx%3D-7%7D%20)
If b was 3 a will be 6 because 2*3=6
and for the second part b will be 3.5 because 2*3.5=7
Answer:
.........................
Step-by-step explanation:
h what's the question
Answer:
Sendiks.
Step-by-step explanation:
Sendiks- 6 ÷ 3.80= $1.58 per can
Sam's Club- 12÷6.90= $1.74 per can
Answer:
Total taxes = $1,520
Step-by-step explanation:
We have two separate calculations for the taxes:
The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is
1% * 5000 = $50
The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:
3% * 49,000 = $1,470
So, the total amount deducted for state taxes is:
Total taxes = 50 + 1470 = $1,520
