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Aleksandr-060686 [28]
3 years ago
9

Adding and subtracting the given polynomials

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

You have to combine like terms, so the variable (x, y, s, d, c....) and the exponents must be the same in order to combine them.

For example:

x² + x³    Since they don't have the same exponent, you can't combine them

y² + 3y² = 4y²

23x + x = 24x

4. 2s² + 1 + s² - 2s + 1    You can rearrange it if it makes it easier

2s² + s² - 2s + 1 + 1 = 3s² - 2s + 2

5. 5t² - 2t - 1 - (3t² - 5t + 7) Distribute/multiply the - to (3t² - 5t + 7)

5t² - 2t - 1 - 3t² + 5t - 7 = 2t² + 3t - 8

Do the same for #9 and #10, and you should get:

9. 2k² + 5k - 9

10. 6y³ - 7y² - 6y - 12

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Eileen collected 98 empty cans to recycle and Carl collected 82 cans they packed and equal number of canes into each of three bo
marta [7]
To solve this you have to add 98 and 82 together then divide by three so the answer would be 60
6 0
3 years ago
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What is the perpendicular line in slope form of the equation (-5,8);y=1/5x-1
denpristay [2]

Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17



5 0
3 years ago
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{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge
nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

<u>x - 3y = -3</u>

-3y = -x - 3

Divide both sides by -3:

\frac{-3y}{-3}  = \frac{-x - 3}{-3}

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

<u>x + y = 5</u>

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1  

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
3 years ago
The admissions office of a private university released the following admission data for the preceding academic year: From a pool
lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

0.4\times 0.4=0.16

Probability of female entered and subsequently enrolled is given by

0.4\times 0.45\\\\=0.18

Number of male entered and subsequently enrolled is given by

0.16\times 4200\\\\=672

Number of female entered and subsequently enrolled is given by

0.18\times 3800\\\\=684

So, Probability that a student who applied  for admission will be accepted by the university and subsequently will enroll is given by

\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695

Hence, our required probability is 0.1695.

3 0
3 years ago
Help!!!! please!!!!<br> thank you!!!!!!
pentagon [3]

Answer:

18) 6x^2-7x-5

19) 20x^2+17x-63

20) 18x^2-20x+2

21) 5x^2+42x+16

Step-by-step explanation:

Perimeter=length×breadth

18) (3x-5)(2x+1)

=6x^2+3x-10x-5

=6x^2-7x-5

19) (4x+9)(5x-7)

=20x^2-28x+45x-63

=20x^2+17x-63

20) (18x-2)(x-1)

=18x^2-18x-2x+2

=18x^2-20x+2

21) (5x+2)(x+8)

=5x^2+40x+2x+16

=5x^2+42x+16

6 0
3 years ago
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