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3 years ago

Identify the factors of x2 − 4x − 12. (1 point)

Mathematics

2 answers:

GalinKa [24]3 years ago

7 0

X² - 4x - 12 =
x² + 2x - 6x - 12 =
x(x + 2) - 6(x + 2) =
(x + 2)(x - 6)

Jet001 [13]3 years ago

7 0

Answer:

D. $(x-6)(x+2)$

Step-by-step explanation:

We have been given a polynomial $x^2-4x-12$ . We are asked to find the factors of our given polynomial.

We will use splitting the middle term format of factoring quadratic polynomial.

We need two numbers, whose product is $-12$ and whose sum is $-4$ . Such two numbers are $-6\text{ and }2$ .

$x^2-6x+2x-12$

$(x^2-6x)+(2x-12)$

Factor out GCF of each group:

$x(x-6)+2(x-6)$

$(x-6)(x+2)$

Therefore, factors of our given expression are $(x-6)(x+2)$ and option D is the correct choice.

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If S = {x,y,4,9,?) , which could describe U ?

Blizzard [7]

Answer:- A) U= { keys on a keyboard}

Explanation:-

A set is a well defined collection of objects.
A Universal set is the set containing all objects and all other sets are subsets of the universal set. It is denoted by 'U'.

Given set : S = {x,y,4,9,?}

Clearly it contains numbers (4,9), alphabets(x,y) and punctuation mark(?).

Thus the universal set of the given set must contain all of them.

Thus U={keys on a keyboard}

5 0

3 years ago

Read 2 more answers

2xy-xz=4 solve for x Pls help due today

LenKa [72]

Hey there!

$Answer:\boxed{x=\frac{4}{2y-z}}$

$Explanation:$

$2xy-xz=4$ Solve for X

x(2y - z) Factor out the variable x

x(2y - z)/2y - z = 4/2y - z Divide both sides by 2y - z

x = 4\2y - z

Hope this helps!

4 0

4 years ago

2x (x + 4) -12x if x=-3

Likurg_2 [28]

Answer:

x=-3

Step-by-step explanation:

2x (x + 4) -12x

2×-3(-3+4)-12×-3

-6(1)+36

7 0

3 years ago

Comparing Rates:I kinda need help with the whole thing...

Stells [14]

[1] Amount of water per minute
Water Miser: m = 3.0 gal/min
Watersaver: m = 2.5 gal/min
Waterstream: m = 1.5 gal/min

[2] Equations:
I would suggest using y = mx.
Water Miser: y = 3x
Watersaver: y = 2.5x
Waterstream: y = 1.5x

[3] For 6,8,10, and 12 minutes:
Plug in x = 6, x = 8, x = 10, and x = 12 into each of the three equations and record the y-values.

[4] Which would you buy?
Depends on your personal opinion.

Want to save the earth? Pick the one that uses the least amount of water.

Want to have a waterfall for a shower? Pick the one that uses the most amount of water. :)

6 0

3 years ago

Which function has the greatest rate of change? A. x y 3 3 4 6 5 9 B. y = 4 + 6x C. 12x + 6y = 18 D. A linear function that goes

Alex787 [66]

Answer:

B. y = 4 + 6x

Step-by-step explanation:

We know that the rate of change of a straight line is equal to the slope of the line.

Now, the general form of a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Also, the slope of a line joined by $( x_{1},y_{1} )$ and $( x_{2},y_{2} )$ is given by $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

So, using these, we will find the slopes of the lines given in the options.

A. Here, we are given two points (3,3) and (4,6). Then, the slope is given by,

$m_{1}=\frac{6-3}{4-3}$ i.e. $m_{1}=3$ .

B. We have the equation of line y = 4 + 6x. On comparing it with the general form, we get that the slope is 6 i.e. $m_{2}=6$ .

C. We are given the standard form of a line. First, we convert it into the slope-intercept form ( or the general form ).

i.e. 12x + 6y = 18 → 2x + y = 3 → y = -2x + 3

Now, on comparing this equation with the general form of a line, we get that the slope is -2. i.e. $m_{3}=-2$ .

D. Here, we are given a linear function passing through (1,-1) and (0,4). Then the slope is given by,

$m_{1}=\frac{4+1}{0-1}$ i.e. $m_{4}=-5$ .

Hence, we obtain that the function y=4+6x has the greatest slope or the greatest rate of change i.e. $m_{2}=6$ .

6 0

3 years ago