Answer by Distributing Like Terms: ![-4x^4+5x^3-x^2+1+2x^4-7x^3+6x^2+2x](https://tex.z-dn.net/?f=-4x%5E4%2B5x%5E3-x%5E2%2B1%2B2x%5E4-7x%5E3%2B6x%5E2%2B2x)
![=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x](https://tex.z-dn.net/?f=%3D-4x%5E4%2B5x%5E3%2B-x%5E2%2B1%2B2x%5E4%2B-7x%5E3%2B6x%5E2%2B2x)
Combine Like Terms:
![=-4x^4+5x^3+-x^2+1+2x^4+-7x^3+6x^2+2x\\=(-4x^4+2x^4)+(5x^3+-7x^3)+(-x^2+6x^2)+(2x)+(1)\\\=-2x^4+-2x^3+5x^2+2x+1](https://tex.z-dn.net/?f=%3D-4x%5E4%2B5x%5E3%2B-x%5E2%2B1%2B2x%5E4%2B-7x%5E3%2B6x%5E2%2B2x%5C%5C%3D%28-4x%5E4%2B2x%5E4%29%2B%285x%5E3%2B-7x%5E3%29%2B%28-x%5E2%2B6x%5E2%29%2B%282x%29%2B%281%29%5C%5C%5C%3D-2x%5E4%2B-2x%5E3%2B5x%5E2%2B2x%2B1)
Answer: =−2x^4−2x^3+5x^2+2x+1
Formula rewritten in standard form: ![-2x^{2} -2x^{3}+5x^{2} +2x+1](https://tex.z-dn.net/?f=-2x%5E%7B2%7D%20-2x%5E%7B3%7D%2B5x%5E%7B2%7D%20%2B2x%2B1)
Answer:
y=(x+a)/b
Step-by-step explanation:
divide b on both sides
Answer:
45units^2
Step-by-step explanation:
Break the polygon into two shapes. A rectangle and a triangle.
The area formula for a rectangle is A=L•W or
Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.
Now for the triangle, the formula is A=1/2 (b•h)
The base is 9 and Height is 6.
9 • 6 = 54
Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.
Now add the rectangle area and triangle area.
18+27=45
Area=45 units ^2
Answer:
.
.
Step-by-step explanation:
What's the total income of Ms. Wolf in a year?
The annual income of Ms. Wolf comes in two parts:
- The fixed salary of $50,000, and
- The 4% commission on shares she sold.
How many commission does Ms. Wolf receive for each share she sold?
.
Let the number of shares that Ms. Wolf sold be
. Ms. Wolf will receive a commission of
.
Total annual income of Ms. Wolf:
.
The phrase "at least" indicates that
shall be greater than or equal to $70,000. That is:
.
.
.
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![g(x) = 4x + 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%204x%20%2B%208)
![g(8) = 4(8) + 8](https://tex.z-dn.net/?f=g%288%29%20%3D%204%288%29%20%2B%208)
![g(8) = 32 + 8](https://tex.z-dn.net/?f=g%288%29%20%3D%2032%20%2B%208)
![g(8) = 40](https://tex.z-dn.net/?f=g%288%29%20%3D%2040)
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