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pychu [463]
3 years ago
15

Add the following polynomials, then place the answer in the proper location on the grid.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

x^3 - 6x + 2

Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

(2x^3) + (x^3) + (-3x^3)

2x^3 + x^3 - 3x^3

3x^3 - 3x^3

x^3

=> (-4x^2) + (6x^2) + (2x^2)

-4x^2 + 8x^2

4x^2

=> (6x) + (-8x) + (-4x)

6x - 8x - 4x

-6x

=> (-3) + (12) +(-7)

-3 + 12 - 7

2

The answer = x^3 - 6x + 2

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Answer:

B

Step-by-step explanation:

To find the y-intercept, plug in x=0 in the original equation. (You want to find what y is when x=0)

2x + 3y = -12

2(0) + 3y = -12 (Plug in x=0)

3y = -12 (2*0=0, so you can ignore that part)

y = -4 (Divide both sides by 3)

This narrows down our choices to either A or B.


To find the x-intercept, plug in y=0 into the original equation. (You want to find what x is when y=0)

2x + 3y = -12

2x + 3(0) = -12 (Plug in y=0)

2x = -12 (3*0=0, so you can ignore that part)

x = -6 (Divide both sides by 2)


If our x intercept is -6 and our y intercept is -4, that makes our answer B.

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3 years ago
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7 0
3 years ago
Verify that [tan(theta) + cot(theta)]^2 = sec^2(theta) + csc^2(theta)
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⇒ tan²θ + 2+ cot²θ

= tan²θ + 1 + 1 + cot²θ

<u>Apply trig identity:</u>  tan²θ + 1 = sec²θ

⇒ sec²θ + 1 + cot²θ

<u>Apply trig identity:</u>  1 + cot²θ = csc²θ

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Left side equals Right side so equation is verified


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(=^_^=)
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