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shusha [124]
3 years ago
8

Combine like terms

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Answer:

x^{3} - 2y + 8

Step-by-step explanation:

-3y - 5x^{3} + 6 + 2 - 4y + 5y + 6x^{3} --> Equation

(- 5x^{3} + 6x^{3}) + (-3y - 4y + 5y) + (6 + 2) --> Combine Like Terms

x^{3} - 2y + 8 --> Simplify

Hope this helped! <3

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What is the square root of 945?
kiruha [24]

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30.7408522979

Step-by-step explanation:

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Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4. I would definitely like to see some work :)
Elena L [17]

Answer:

  16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

  \displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}

__

<em>Additional comment</em>

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

  area = 4.5 +3×4 = 16.5 . . . square units

4 0
2 years ago
(c+d)^2+11(c+d)+30<br><br> Factor completely.
tatyana61 [14]

Answer:

firstable give c+b a polynomial value like x

so its will be x^2+11x+30

after the we have to factor it

30=6×5

and 11=6+5

so its will become

(x+6)×(x+5)=x^2+11x+30

x=c+d

(c+d+6)×(c+d+5)=(c+d)^2+11(c+d)+30

have a great day

3 0
3 years ago
Using the numbers -4, 10,8,2.-3,-5, create two expressions that equal 6
Alborosie

Answer:

10 + -5 and 2 - -3

Step-by-step explanation:

5 0
4 years ago
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