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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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A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tenn
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3 years ago
Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

6 0
3 years ago
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