Answer:
Given the polynomial: ![(3x-8)(2x^2+4x-9)](https://tex.z-dn.net/?f=%283x-8%29%282x%5E2%2B4x-9%29)
Since, arranging of polynomial can be made by forming the given polynomial into the general form.
Multiply the following polynomials are;
![(3x)(2x^2+4x-9)-8(2x^2+4x-9))](https://tex.z-dn.net/?f=%283x%29%282x%5E2%2B4x-9%29-8%282x%5E2%2B4x-9%29%29)
Using distributive property: ![a\cdot(b+c) = a\cdot b+a\cdot c](https://tex.z-dn.net/?f=a%5Ccdot%28b%2Bc%29%20%3D%20a%5Ccdot%20b%2Ba%5Ccdot%20c)
![(6x^3+12x^2-27x)- (16x^2+32x -72)](https://tex.z-dn.net/?f=%286x%5E3%2B12x%5E2-27x%29-%20%2816x%5E2%2B32x%20-72%29)
Remove the parenthesis; we get;
![6x^3+12x^2-27x- 16x^2 -32x +72](https://tex.z-dn.net/?f=6x%5E3%2B12x%5E2-27x-%2016x%5E2%20-32x%20%2B72)
Combine like terms;
![6x^3-4x^2-59x+72](https://tex.z-dn.net/?f=6x%5E3-4x%5E2-59x%2B72)
⇒This is the general form of the polynomial equation.
Since, the given polynomials can be written from the order of powers i.e,
![6x^3-4x^2-59x+72](https://tex.z-dn.net/?f=6x%5E3-4x%5E2-59x%2B72)
To arrange this polynomial in descending order means to arrange the powers of variables in each term in descending order.
Therefore, the resulting polynomial in descending orders is, ![6x^3-4x^2-59x+72](https://tex.z-dn.net/?f=6x%5E3-4x%5E2-59x%2B72)
Answer:
Claimed 4 allowances at a rate of $76.90 per allowance for weekly payroll.
Taxable income is therefore;
= 3,500 - (76.90 * 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, Pat falls into the $3,073 to $4,597 bracket where tax is $565.15 plus 28% of anything above $3,073. Status is married.
= 565.15 + (28% * (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
Social Security
= Gross pay * 6.2%
= 3,500 * 6.2%
= $217
Medicare
= 3,500 * 1.45%
= $50.75
Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
Answer:
The answer is C.
Step-by-step explanation:
For this case we have an expression of mixed numbers:
![5 \frac {1} {2} = \frac {2 * 5 + 1} {2} = \frac {11} {2}\\4 \frac {1} {4} = \frac {4 * 4 + 1} {4} = \frac {17} {4}\\6 \frac {3} {4} = \frac {4 * 6 + 3} {4} = \frac {27} {4}](https://tex.z-dn.net/?f=5%20%5Cfrac%20%7B1%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B2%20%2A%205%20%2B%201%7D%20%7B2%7D%20%3D%20%5Cfrac%20%7B11%7D%20%7B2%7D%5C%5C4%20%5Cfrac%20%7B1%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B4%20%2A%204%20%2B%201%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B17%7D%20%7B4%7D%5C%5C6%20%5Cfrac%20%7B3%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B4%20%2A%206%20%2B%203%7D%20%7B4%7D%20%3D%20%5Cfrac%20%7B27%7D%20%7B4%7D)
Rewriting the expression we have:
![- \frac {11} {2} - \frac {17} {4} -\frac {27} {4} =](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B11%7D%20%7B2%7D%20-%20%5Cfrac%20%7B17%7D%20%7B4%7D%20-%5Cfrac%20%7B27%7D%20%7B4%7D%20%3D)
Remember that equal signs are added and the same sign is placed.
![- \frac {11} {2} - \frac {44} {4} =\\- \frac {11} {2} - \frac {22} {2} =\\- \frac {33} {2}](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B11%7D%20%7B2%7D%20-%20%5Cfrac%20%7B44%7D%20%7B4%7D%20%3D%5C%5C-%20%5Cfrac%20%7B11%7D%20%7B2%7D%20-%20%5Cfrac%20%7B22%7D%20%7B2%7D%20%3D%5C%5C-%20%5Cfrac%20%7B33%7D%20%7B2%7D)
Answer:
![- \frac {33} {2}\\-(15 \frac {3} {2})](https://tex.z-dn.net/?f=-%20%5Cfrac%20%7B33%7D%20%7B2%7D%5C%5C-%2815%20%5Cfrac%20%7B3%7D%20%7B2%7D%29)
Answer:
c
Step-by-step explanation:
got it right