Find the value of x.

No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is x(4x²+8x+12).

Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.

So, group and factor out the greatest common factor (GCF), then combine.

That is, 4(x²+2x+3)

Now, x(4x²+8x+12)= 4x(x²+2x+3)

Therefore, option C is the correct answer.

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Answer:

18 books

Step-by-step explanation:

Answer:

heyy!! I can't attach my answer here does someone know how to attach images?

Step-by-step explanation:

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

Answer:

slope measures the rate of change in the dependent variable as the independent variable changes

Step-by-step explanation:

i don't know hope it helps a little

Answer:

The 3rd and 6th

Step-by-step explanation:

Make a system of equations, try to solve, and then see which statements apply.

let x be the cost of a DVD and y be the cost of a video game

Then you would have:

2x + y = 12

4x + 2y = 24

from turning the words into equations.

Now, solve:

first, multiply the first equation by 2

2x + y = 12 --> 4x + 2y = 24

Then, subtract the two equations:

4x + 2y = 24

- (4x + 2y = 24)

0 = 0

Since you have a number = a number, there are infinite solutions.

Go through the options they give you and see which ones are correct

o The system of linear equations that represents this situation has one solution

Not true, there are infinite

o The system of linear equations that represents the situation has no solution.

Not true

o The system of linear equations that represents the situation has infinitely many solutions.

True

o The DVD rentals cost more than video game rentals

Unknown, it could cost more but it can also cost less so this is not true

o The video rentals cost more than the DVD rentals

Unknown for the same reason

o You cannot determine the cost of video game rentals or DVDs.

True

Answer:

9240ft per second

(105mi/1hr * 5280ft/1mi * 1hr/60sec)

Step-by-step explanation:

Answer:

Surface area = 80 cm²

Step-by-step explanation:

Surface Area of rectangular prism = 2(LW + LH + WH)

L = 4 cm

W = 4 cm

H = 3 cm

Plug in the values

Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)

Surface Area = 2(40) = 80 cm²

Answer:

2000mL=2L

Step-by-step explanation:

Answer:

Any number 5 and below

Step-by-step explanation:

We are given the expression that the difference between a number and 3 is no more than 2. Break down the expression and spot the key word of "difference," therefore meaning that the unknown number "x" and 3 is equal or less than 2. We can create the algebraic expression of x - 3, now since the answer must equal 2 or below 2, we can create the inequality :

x - 3 ≤ 2

Now the only numbers that are allowed to be inputted here is 5 and below.

The solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

Let us denote the number as "x," we can express the given statement as an inequality:

|x - 3| ≤ 2

This inequality states that the absolute value of the difference between x and 3 is less than or equal to 2.

If x - 3 ≥ 0 (x ≥ 3)

In this case, the absolute value can be removed:

x - 3 ≤ 2

x ≤ 2 + 3

x ≤ 5

and if x - 3 < 0 (x < 3)

The absolute value becomes negative:

-(x - 3) ≤ 2

x + 3 ≤ 2

x ≤ 2 - 3

x ≤ -1

x ≥ 1

Combining the results from both cases, we have:

x ≤ 5 or x ≥ 1

Therefore, the solution to the inequality "the difference between a number and 3 is no more than 2" is x ≤ 5 or x ≥ 1.

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Solution :

1. A chart monitoring the object counts with some specific characteristic during the time period and/or some of consistent amount area -- c. c - chart

2. A chart which monitors the subgroup variations within the range of subgroups -- a. R chart

3. The chart monitoring the variation of within subgroup to that of the standard deviations of the subgroups -- d. s chart

4. The chart which monitors the objects' proportion from the sample size of n which does or does not have any particular characteristics -- g. p chart

5. The chart monitoring the averages between the subgroup of the quantitative characteristic keys -- b. x-"bar" chart

Answer: 0.13

Step-by-step explanation:

Answer: The second and the last answer are correct

Step-by-step explanation:

Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is

f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)

Compute the derivative:

f(x) = x ³   →   f ' (x) = 3x ²   →   f ' (2) = 12

Then

L(x) = 8 + 12 (x - 2) = 12x - 16

Now approximate 1.999³ :

f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988

(Compare this to the actual value, 7.98801.)

Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

Answer:

4 hours.

Step-by-step explanation:

First we need to subtract $480 from $708.

$708-$480= $228.

Because the hourly rate is $57 we need to divide 228 by 57.

228÷57=4

The answer is 4 hours.

Answer:

zero

Step-by-step explanation:

the slope does not change in y at all.

Answer:

well I don't know how you learn this, but if the sign doesn't have a line underneath then its an open circle other than that great job!

Step-by-step explanation:

make 2,3,6,7 open circle if you can then they will all be right

Answer:

x=12 degrees

Step-by-step explanation:

Answer: 142.82

Step-by-step explanation:

To be able to avoid the banking fees, you will need to deposit extra

500-357.18=142.82 in your bank account

Answer:

55.5 percent of the way!!!!!!

Answer:

C I think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

104 in total

6.5k+12a=18.5ka

Step-by-step explanation:

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = [tex]a(e)^{nt}[/tex]

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = [tex]91.8(e)^{n\times 1}[/tex]

eⁿ = [tex]\frac{84.4}{91.8}[/tex]

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = [tex]98.6(e)^{-0.08403t}[/tex]

[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]

[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am