MATHEMATICS MIDDLE SCHOOL

(4a-5)+(3a+6)

Adding polynomials

Answers

Answer 1
Answer: (4a-5)+(3a+6)=
=4a-5+3a+6=
=7a+1
Answer 2
Answer: (4a-5)+(3a+6)=\n 4a-5+3a+6=\n 7a+1

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Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all

Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes are (2 +√ 3) and ( 2 - √ 3).

Answers

Answer:

All the zeroes of the polynomial p(x) are:

      -1\ ,\ 4\ ,\ (2+√(3))\ ,\ (2-√(3))

Step-by-step explanation:

We are given a polynomial expression p(x) as:

    p(x)=x^4-7x^3+9x^2+13x-4

Also two of the zeros of the polynomial are:

   2+√(3)\ and\ 2-√(3)

i.e. the polynomial could be factored as follows:

x^4-7x^3+9x^2+13x-4=(x-(2+√(3)))(x-(2-√(3)))q(x)

where q(x) is a polynomial of degree 2

i.e.

x^4-7x^3+9x^2+13x-4=(x-(2+√(3)))(x-(2-√(3)))q(x)

i.e.

q(x)=(x^4-7x^3+9x^2+13x-4)/(x^2-4x+1)

Hence, we get the value of q(x) as:

q(x)=x^2-3x-4\n\n\ni.e.\n\n\nq(x)=x^2-4x+x-4\n\n\ni.e.\n\n\nq(x)=x(x-4)+1(x-4)\n\n\ni.e.\n\n\nq(x)=(x+1)(x-4)

Hence, our polynomial could be represented in terms of linear factors as:

x^4-7x^3+9x^2+13x-4=(x-(2+√(3)))(x-(2-√(3)))(x+1)(x-4)

i.e. the other two zeros are: -1 and 4
polynomial of the two zeroes
(x - (2+rt(3))(x - (2-rt(3)) = x^2 -4x +1

divide it
(x^4 - 7x^3 + 9x^2 + 13x – 4) / (x^2 -4x +1)
= x^2 - 3x -4
= (x-4)(x+1)
x=-1, 4 ... the remaining zeroes

a high school athletic department.baught 40 soccer uniforms at a cost of $3,000. after soccer season they returned some of the uniforms but only received $40 per uniform. what was the difference between what they paid for each uniform and what they got for each return?

Answers

They purchased 40 uniforms. If you divide 3,000 by 40, you'll find the amount that they paid for each uniform.

3,000 divided by 40 is 75. They paid $75 per uniform. To find the difference between the original price and the returned money, subtract 40 from 75.

75 minus 40 is 35. The difference between what they paid for each uniform and what they got for each return is $35.

Answer: 35

Step-by-step explanation:

They purchased 40 uniforms. If you divide 3,000 by 40, you'll find the amount that they paid for each uniform.

3,000 divided by 40 is 75. They paid $75 per uniform. To find the difference between the original price and the returned money, subtract 40 from 75.

75 minus 40 is 35. The difference between what they paid for each uniform and what they got for each return is $35.

What is the ratio of ounces to pounds in the weight of an object

Answers

Answer:

1 : 0.0625

Step-by-step explanation:

We are asked to find the ratio of ounces to pounds in the weight of an object.

We know that 1 pound equals 16.

Ratio of pound to ounce= 1 : 16

To find the ratio of ounces to pounds, we will divide 1 by 16.

(1)/(16)=0.0625

Ratio of ounce to pound= 1 : 0.0625

Therefore, our required ratio is 1 : 0.0625.
1 Pound = 16 Ounces
1 Ounce = 0.0625 Pounds

One month, Jon worked 3 hours less than Chaya, and Amgelica worked 4 hours more than Chaya. Together they worked 196 hours. Find the number of hours each person worked.

Answers

Okay lets look at the problem first
so Chaya is our X Value
and we know that the total is 196
lets divide the total by 3
so we have 65.1
lets forget the point one for now
know if each person worked 65 hours this would be over 
but we know that Jon Worked 3Hours less then Chaya that would put him at 62
Know we need to put that 3 hours to the side and remember we havnt used it yet
And we know that Amgelica worked 4 more hours then Chaya andwe still have 4 hours left over so that puts her at  69 hours
so Jon (a) worked 62 hours
Amgelica (b)worked 69 hours 
and Chaya (c)at 65
a+b+c=196
62+69+65=196
I hope this helped

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If d = 2, what is the value of 84−d?

Answers

When 2 is substituted in for d, your equation is 84 - 2, which equals 82.
The answer is 82, with the process call substitution 

What is the volume of a cylinder with a radius of 7 feet and a height of 12 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.A. 1,846.32 cubic feet
B. 1,950.25 cubic feet
C. 1,999.21 cubic feet
D. 2,000.31 cubic feet

Please answer asap

Answers

The volume of the cylinder to the nearest hundredth is  1,846.32 cubic feet.

A cylinder is a three-dimensional shape. It is a prism with circular edges.

Volume of a cylinder = πr²h

  • π = pi = 3.14
  • r = radius
  • h = height

3.14 x 7² x 12 = 1,846.32 cubic feet

Please find attached an image of a cylinder. To learn more about to determine the volume of a cylinder, check: brainly.com/question/12763699
Find the area of the base of the cylinder, 

A = \pi x 49

Then multiply by the height of the cylinder,

49\pi x 12 = 588\pi

then insert 3.14 for pi

588 x 3.14 = 1,846.32 cubic feet
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