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SSSSS [86.1K]
3 years ago
11

What is the sum of the polynomials?

Mathematics
2 answers:
kotykmax [81]3 years ago
8 0

If you have to find the sum of the polynomials (7x^3 - 4x^2) + (2x^3 - 4x^2)=7x^3-4x^2+2x^3-4x^2, then you have:

1. group all terms that have equal degrees

7x^3+2x^3 \text{ and } -4x^2-4x^2.

2. Add the coefficients near terms of equal degree

7+2=9,

-4-4=-8.

3. Write the sum as 9x^3-8x^2.

Answer: correct choice is D.

Olenka [21]3 years ago
5 0
(7x3 – 4x2) + (2x3 – 4x2) = 9x3 – 8x2

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Neporo4naja [7]

Answer:

a) 1 game

b) 41 goals

c) median = 2

Step-by-step explanation:

a)

As we can see in the line graph, where we have the 0 for the number of goals scored, the graph indicates only 1 in the number of games, so we have only 1 game where no goals were scored.

b)

To find the total number of goals scored, we multiply the goals scored by the number of games for that score, and then sum them all:

total goals = 1*0 + 4*1 + 5*2 + 6*3 + 1*4 + 1*5 = 41 goals

c)

To find the median, we put all the goals in crescent order, and then find the value in the middle. As we have 18 games, the middle value will be an average of the 9th and 10th terms.

We have 1 number 0, 4 numbers 1 and 5 numbers 2 in the beginning, so for these 10 numbers, the 9th and the 10th are the score 2, so the median is 2.

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3 years ago
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7 0
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tatuchka [14]

Answer:

D

Step-by-step explanation:

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2} bh

In this case, the base is <em>x</em> and the height is <em>y</em>. Hence:

\displaystyle A = \frac{1}{2} xy

We can write the following ratios:

\displaystyle \sin \alpha = \frac{x}{12} \text{ and } \cos \alpha = \frac{y}{12}

Solve for <em>x</em> and <em>y</em>:

\displaystyle x = 12\sin \alpha \text{ and } y = 12\cos \alpha

Substitute:

\displaystyle A = \frac{1}{2}\left(12\sin \alpha\right)\left(12\cos \alpha\right)

And simplify. Hence:

\displaystyle A = 72\sin \alpha \cos\alpha

In conclusion, our answer is D.

6 0
3 years ago
True or False? The number 0.8 can be written as 8/10, so it is an irrational number
lesya692 [45]
The answer would be false because the number .8 can be 8/10 but it is rational and you can understand that. It would not be an irrational number.
3 0
3 years ago
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