Which of the following is a equivalent form of the equation

Mathematics

1 answer:

oee [108]3 years ago

3 0

Answer:

$c.\ \ \ \ y=(x-a)(x+b)$

Step-by-step explanation:

-The equation $y=x^2-ax+bx-ab$ can be simplified by grouping like terms together:

$y=x^2-ax+bx-ab\\\\\#Group \ terms \ with \ x \ and \ a\\\\\\=x^2+bx-ax-ab$

#we then introduce brackets:

$x^2+bx-ax-ab\\\\x(x+b)-a(x+b)\\\\\\(x-a)(x+b)$

we equate to y:

$y=(x-a)(x+b)$

Hence, the equitation's equivalent form is $y=(x-a)(x+b)$

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Y=2x+1

yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0

3 years ago

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$