Which of the following functions is quadratic?

2 answers:

6 0

The answer is C.
The definition of a "quadratic equation" is any equation that has a variable with an unknown value to a power no less than or more than 2. A is not the answer because nothing is to the 2nd power. B, although is to the second power, is simplified into just 4, so it has neither an unknown variable nor power of 2. D is also incorrect because when the 3 is distributed, the equation is just simply 12-3x, which has no power of 2. So C is correct because when the 7x is distributed, you get the equation 7x^2 +21x, which has both a variable with an unknown value and a power of two.

Scilla [17]4 years ago

3 0

Answer:The correct answer is C, just did it, hope it helps ;)

Step-by-step explanation: C. 7x(x+3)

You might be interested in

Someone please help this is due tomorrow;(

nevsk [136]

Sorry if my handwriting sloppy.

I showed all of it step by step.

7 0

3 years ago

Which model shows the correct factorization of x2 – x – 2?

Murljashka [212]

Answer: The correct factors are

(x-1) and (x+2)

Step-by-step explanation:

Step one :

To factorize the equation

x²– x – 2=0

First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)

Step two :

We replace the second term with these factors we have

x²–(x-2x)–2=0

x²–x+2x–2=0

Factoring the expression we have

x(x–1)+2(x–1)=0

Hence the factors will be

(x-1) and (x+2)

8 0

4 years ago

Read 2 more answers

Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D

Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points $(-4,4),(12,4),(12,-4),(-4,-4)$

(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:

$A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)$

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

$A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)$