When factored completely, x3+ 3x2 - 4x-12 equals?

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.

We start by looking for common factors among the coefficients of the three terms:

45x³ + 198x² + 189x

= 9x (5x² + 22x + 21)

Now we can factor the quadratic expression inside the parentheses:

5x² + 22x + 21

= 5x² + 15x + 7x + 21

= 5x(x + 3) + 7(x + 3)

= (5x + 7) (x + 3)

The volume expression can be factored as:

45x³ + 198x² + 189x

= 9x (5x + 7) (x + 3)

Thus,

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

Learn more about prism here:

https://brainly.com/question/12649592

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Answer: The price per ounce of gold increases by 106.63%.

Step-by-step explanation:

Given: Price in 2005 = $ 513

Price in 2015 - $ 1060

Now , [tex]\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100[/tex]

[tex]\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%[/tex]

hence, the price per ounce of gold increases by 106.63%.

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

Answer:

0.6% of the people had a mild allergic reaction.

Step-by-step explanation:

Given that:

Number of people who tried hair care products = 6000

Number of people who had reaction = 36

Percent of people = [tex]\frac{Number\ of\ people\ with\ reactions}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{36}{6000}*100[/tex]

Percent of people = 0.6%

Hence,

0.6% of the people had a mild allergic reaction.

Answer:

Positive, Upward Slope.

Step-by-step explanation:

Answer:

the slope of a line shows how steep a straight line is, or the direction of a straight line

Answer:

See photo

Step-by-step explanation:

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

[tex]\frac{20m}{20}\leq \frac{800}{20}[/tex]

m ≤ 40

Hence,

You can sell at least 40 phones each week.

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Answer:

2 k 3 − 3 k 2 − 2 k

Step-by-step explanation:

Answer: ...

2k^3−3k^2−2k

Answer:

I believe it is D.

Step-by-step explanation:

The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Answer:

The values of p and q such that 2·x² - 4·x + 3 = 2·(x - p)² + q, are;

p = 1, q = 1

Step-by-step explanation:

The given equation are;

2·x² - 4·x + 3 = 2·(x - p)² + q

By expanding the right hand side of the equation, we have;

2·x² - 4·x + 3 = 2·(x - p)² + q = 2·x² - 4·p·x + 2·p² + q

2·x² - 4·x + 3  = 2·x² - 4·p·x + 2·p² + q

Comparing the coefficient of x in both equations, gives;

2·x² + (- 4)·x + 3  = 2·x² + (- 4·p)·x + 2·p² + q

-4 = -4·p

∴ p = -4/(-4) = 1

p = 1

Comparing only the constant terms (terms not multiplied by "x" or "x²"), we get;

3 = 2·p² + q

Substituting the value for "p" obtained above (p = 1 ) in the previous equation, we get;

3 = 2 × 1² + q  = 2 + q

∴ q = 3 - 2 = 1

q = 1.

Answer:

x = t - p

Step-by-step explanation:

p + x = t

subtract p from both sides.

x = t - p

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

Answer:

x-5y

Step-by-step explanation:

Answer:

[tex]x-5y[/tex]

Step-by-step explanation:

[tex]6x-8y-5x+3y[/tex]

[tex]6x-5x-8y+3y[/tex]

[tex]x-5y[/tex]

Answer:q=-6

Step-by-step explanation:

If the solution of the system is  {(x,y) : x-3y=4}, then both equation should have proportional coefficients:

[tex]1/2=-3/q=4/8[/tex]

Solve it:

1/2 = -3/q

q=-3*2

q=-6

Check whether q=-6 is correct answer, substituting this value into the first ratio:

[tex]1/2=-3/-6=4/8[/tex]

q=-6

hope this helps,

have a great day,

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Answer:

Step-by-step explanation:

If the solution to the system is the first equation only, then both equations should be same:

Double the first equation, then both of coefficients of y and constant will be equal:

Comparing we get Q = 2

Answer:

480

Step-by-step explanation:

12*4=48 then add a zero to the end of it

hope that helps!

happy new year!

Answer:

Lance has 480 comic books.

Step-by-step explanation:

Multiply 12 by 40:)

Answer:

12

Step-by-step explanation:

(5+2)^2 - 40 + 3

= 7^2 - 40 + 3

= 49 - 40 + 3

= 49 - 40

= 9+3

= 12

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

Answer:

Step-by-step explanation:

7

Answer:

7

Step-by-step explanation:

3.5 divided by .5

Answer: de

Step-by-step explanation:

Answer:

do you have 12 as an answer?

Answer:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

Step-by-step explanation:

Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.

4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.

Thus, the correction is as follows:

Given the fraction

[tex]\frac{2}{3}[/tex]

Multiply the nominator and denominator of the fraction by 2

[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]

Thus, the 4/6 is the correct equivalent expression of 2/3.