Answer:
Step-by-step explanation:
- Binomial: 2 terms
- Trinomial: 3 terms
- Linear: a straight line
- Quadratic: like a curved line
(3x + 2) - (x + 5)
1(3x + 2) - 1(x + 5)
3x + 2 - x - 5 <== combine like terms
3x - x + 2 - 5
2x - 3 <== final answer, linear binomial
(2x + 8) + (3x² - 2)
1(2x + 8) + 1(3x² - 2)
2x + 8 + 3x² - 2
3x² + 2x + 6 <== final answer, quadratic trinomial
(3x + 8) + (4x² - x)
1(3x + 8) + 1(4x² - x)
3x + 8 + 4x² - x
4x² + 2x + 8 <== final answer, quadratic trinomial
(x² + 5x minus (-) 2) + (8 minus (-) 5x)
(x² + 5x - 2) + (8 - 5x)
1(x² + 5x - 2) + 1(8 - 5x)
x² + 5x - 2 + 8 - 5x
x² + 6 <== final answer, quadratic binomial
(x² + 7x) - (x² + 5)
1(x² + 7x) - 1(x² + 5)
x² + 7x - x² - 5
7x - 5 <== final answer, linear binomial
Hope this helps!
Use the estimate but that should be more than the exact price
Answer is:
(x,y) = (-17/4,-7)
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Answer:
B
Step-by-step explanation:
We are given that:
![f(x)\geq g(x)](https://tex.z-dn.net/?f=f%28x%29%5Cgeq%20g%28x%29)
For all real numbers and they form a region R that is bounded from x = 1 to x = 7. A table of values is given.
We are directed to use a Right Riemann Sum to find the area between the curves of f and g.
Since f is greater than g for all values of x, to find the approximate area between f and g, we can first find the area of f and then subtract the area of g from f.
Using a Right Riemann Sum, the area of f is approximately:
(We multiply the width between each x-coordinate by the right endpoint)
![\displaystyle \int_1^7f(x)\, dx\approx3(5)+2(2)+1(8)=27](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_1%5E7f%28x%29%5C%2C%20dx%5Capprox3%285%29%2B2%282%29%2B1%288%29%3D27)
And the area of g is approximately:
![\displaystyle \int_1^7g(x)\, dx\approx3(1)+2(0)+1(5)=8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_1%5E7g%28x%29%5C%2C%20dx%5Capprox3%281%29%2B2%280%29%2B1%285%29%3D8)
Therefore, the area between them will be:
![A=\displaystyle \int_1^7f(x)\, dx-\int_1^7 g(x)\, dx\approx 27-8=19](https://tex.z-dn.net/?f=A%3D%5Cdisplaystyle%20%5Cint_1%5E7f%28x%29%5C%2C%20dx-%5Cint_1%5E7%20g%28x%29%5C%2C%20dx%5Capprox%2027-8%3D19)
Our answer is B.