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Lyrx [107]
3 years ago
6

What is the product of 2x + y and 5x – y + 3?

Mathematics
2 answers:
Goryan [66]3 years ago
5 0

Answer:

The product of terms 2x + y and 5x – y + 3 is:10x^2 + 3xy +6x -y^2 +3y

Step-by-step explanation:

We need to multiply the two terms

(2x + y) ( 5x - y + 3)\\=2x (5x - y + 3) + y( 5x - y + 3)\\=10x^2 -2xy +6x +5xy -y^2 +3y\\checking\,\, for \,\, the \,\, like \,\, terms\,\, (\,\,having\,\, same\,\, variables\,\,)\\=10x^2 -2xy +5xy +6x -y^2+3y\\=10x^2 + 3xy +6x -y^2 +3y

The product of terms 2x + y and 5x – y + 3 is:10x^2 + 3xy +6x -y^2 +3y

Leya [2.2K]3 years ago
4 0

Answer:

The correct answer is 10x² + 3xy + 6x - y² + 3y

Step-by-step explanation:

It is given an expression (2x + y)(5x - y + 3)

<u>To find the product</u>

(2x + y)(5x - y + 3) = 2x * 5x  - 2x*y + 2x*3 + y*5x -y² + 3y

 = 10x² - 2xy + 6x + 5xy - y² + 3y

 = 10x² + 3xy + 6x - y² + 3y

Therefore the correct answer is

10x² + 3xy + 6x - y² + 3y

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Danielle’s chemistry professor has a complicated grading system. Each lab counts once and each test counts as two labs. At the e
Murrr4er [49]

Answer:

92

Step-by-step explanation:

Lab Scores are 84, 81, and 93

Test Scores are 89 and 94

Each lab counts once and each test counts as two labs. At the end of the semester there is a final lab that counts as three regular labs.

Total Number of Labs= (3X1)+(2X2)+(1X3) =3+4+3 =10

To recieve an A(90), the average of her scores must be 90.

Let her final lab score =b

Refer to the attached diagram

Total Score=624+3b

For her average =90

\frac{624+3b}{10}=90

Cross multiplying

624+3b =90 X 10

624+3b =900

3b =900-624

3b =276

Dividing both sides by 3

b= 92

She must score 92 in her final lab to receive an A.

6 0
3 years ago
An architect in Brussels measures something to be 2.5 feet (using the Brussels measurement). How many feet is this in Aalst (usi
borishaifa [10]

Answer:

2.487F

Step-by-step explanation:

From the question we are told that

Architect Measures 2.5 feet (using the Brussels measurement)

Generally in Brussels  1F=275.75mm

Therefore

    2.5F=689.375mm

Generally in Aalst 1F=277.2mm

Therefore Mathematically converting  to feet in Aalst measurement we get

    689.375mm*\frac{1}{277.2} =2.487F

   

6 0
2 years ago
How do I solve these equations?
lilavasa [31]

Answer:

Solve X

X=1/2     X=0.5

Solve V

W=0.0260416v

V=38.4W

3 0
3 years ago
How many solutions are there to this equation 3x(x-4)+5-x=2x-7
stich3 [128]

Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

  • x = 1
  • x = 4

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

__

<em>Alternate method</em>

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

4 0
3 years ago
Five people went to the concert for $227.50. If tickets are all the same price, how many people could go for $546?
Ilya [14]
ANSWER: 12 people can go
6 0
3 years ago
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