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White raven [17]
3 years ago
11

What is the sum of the given polynomials in standard form? (x2 – 3x) + (–2x2 + 5x – 3)

Mathematics
2 answers:
Svetllana [295]3 years ago
8 0
Combine like terms. -x2 +2x -3 is the answer.
Aloiza [94]3 years ago
8 0

Answer:

-x^2+2x-3

Step-by-step explanation:

The given polynomial expression is

(x^2-3x)+(-2x^2+5x-3)

We regroup the terms in the polynomial to obtain;

x^2-2x^2-3x+5x-3

We combine like terms to get;

-x^2+2x-3

When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.

The simplified polynomial in standard form is  -x^2+2x-3

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I was unclear about the last two parts of the question.
6 0
3 years ago
PYTHAGORAS THEROM AND TRIGONOMETRY RATIO​
marysya [2.9K]

Answer:

1) ΔACD is a right triangle at C

=> sin 32° = AC/15

⇔ AC = sin 32°.15 ≈ 7.9 (cm)

2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:

AB² = AC² + BC²

⇔ AB² = 7.9² + 9.7² = 156.5

⇒ AB = 12.5 (cm)

3)  ΔABC is a right triangle at C

=> sin ∠BAC = BC/AB

⇔ sin ∠BAC = 9.7/12.5 = 0.776

⇒ ∠BAC ≈ 50.9°

4) ΔACD is a right triangle at C

=> cos 32° = CD/15

⇔ CD = cos32°.15

⇒ CD ≈ 12.72 (cm)

Step-by-step explanation:

7 0
3 years ago
Kyra has 2 plates, 2 cups, and 2 bowls. If she chooses one of each randomly, what is the probability that the plate, cup, and bo
tensa zangetsu [6.8K]
The correct answer is A. <span>0.125
</span><span>
1/8(this is a fraction)</span>
(divide the numerator by the denominator)

1÷8 = 0.125
If you want you can Convert the number to a percentage:<span>
0.125×100=12.5%

but the question is asking for decimal form therefore the answer is </span>0.125.
I also did the quiz and this was correct

Hope this helps!! :D
7 0
3 years ago
Read 2 more answers
Consider the original complex figure and the reduction.
Dmitriy789 [7]

Answer:

1/8

Step-by-step explanation:

I'm going to try to explain this as easy as possible. What I did was take the original shape and divide it by the new shape. For this question, I solved it by dividing 32(the original base) by 4(the new base) and got 8. So the scale factor of the reduction was 1/8.

8 0
2 years ago
A car moving at a constant speed passed a timing device at t=0. After 9 ​seconds, the car has traveled 837 ft. Write a linear fu
diamong [38]

Answer:

at t=0 the car has moved 0 feet, also you know it has a constant speed so you get the points:

P1:(0,0) therefore you know b, the y-intercept=0

P2:(8,840)

insert P2 into y=mx+b

840=8m+0

840/8=m

105=m

so the result is:

y=105x=105t=f(t)=d

Step-by-step explanation:

7 0
2 years ago
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