Simplify the expression given below.

X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9

A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)

Answer:

I'm pretty sure it's -5.7

Given:

The shape of box is a right triangular prism.

Paper cost = 2 cents per square centimeter

To find:

The cost to cover the entire box.

Solution:

In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.

Area of a rectangle is

[tex]Area=length\times width[/tex]

Area of rectangle with length 4 cm and width 3 cm is

[tex]A_1=4\times 3=12\text{ cm}^2[/tex]

Area of rectangle with length 4 cm and width 4 cm is

[tex]A_2=4\times 4=16\text{ cm}^2[/tex]

Area of rectangle with length 4 cm and width 5 cm is

[tex]A_3=4\times 5=20\text{ cm}^2[/tex]

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

Area of triangle with base 3 cm and height 4 cm is

[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]

[tex]A_4=\dfrac{12}{2}[/tex]

[tex]A_4=6\text{ cm}^2[/tex]

Bottom and top triangular surfaces are equal.

[tex]A_5=A_4=6\text{ cm}^2[/tex]

Now, total surface area of the box is

[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]

[tex]A=12+16+20+6+6[/tex]

[tex]A=60\text{ cm}^2[/tex]

Paper cost = 2 cents per square centimeter

Cost of 60 square centimeter paper is

[tex]60\times 2=120\text{ cents}[/tex]

Therefore, the cost to cover the entire box is 120 cents or $1.2.

Answer:

$10.76

Step-by-step explanation:

Just multiply 2.99 by 3.6 and round

Answer:

is there anymore to the question?

Step-by-step explanation:

9514 1404 393

Answer:

  b = 12

Step-by-step explanation:

A commonly seen "Pythagorean triple" is (a, b, c) = (5, 12, 13).

The value of b is 12.

__

You may be expected to find this using the Pythagorean theorem.

  a² +b² = c²

  b² = c² - a²

  b = √(c² -a²) = √(13² -5²) = √(169 -25) = √144

  b = 12

_____

Additional comment

Pythagorean triples you will run across are ...

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

and their multiples, such as 2×(3, 4, 5) = (6, 8, 10). Of course, there are an infinite number of integer Pythagorean triples, but these are ones commonly seen in algebra, trig, and geometry problems.

Answer:

b

Step-by-step explanation:

the y coordinate stays the same (same vertical thing) but x coordinate changes (goes horizontal)

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

Answer:

Rewrite the equation as

n6 =

33

2

.

n

6

=

33

2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

n

=

±

6

√

33

2

Simplify the right side of the equation.

Tap for more steps...

n

=

±

3

√

33

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

n = 3√33,−3√33

The result can be shown in multiple forms.

Exact Form:

n = 3√33,−3√33

Decimal Form:

n = 3.20753432,−3.20753432

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Dominique - 12

Brother- 12 / 6 * 4

12 / 6 is 2 then 2 * 4 is 8.

So her brother is 8 years old.

To prove this multiply 8 by 2 givig you 16. then 16 - 4 giving you 12. This means the answer is correct because dominique is supposed to be 4 years less than TWICE THE AGE OF HER BROTHER.

IF YOU DON'T UNDERSTAND PLEASE ASK AND I'LL GIVE YOU MORE CLARIFICATION :)

HOPE THIS HELPED

Answer:

Step-by-step explanation:

yeah 4-12x=2

so 16

Answer:

the  percentage of the students in the band that play a percussion instrument is 14.6%

Step-by-step explanation:

The computation of the percentage of the students in the band that play a percussion instrument is as followS;

= number of students played percussion instrument ÷ total number of students

= 6 students ÷ 41 students

= 14.6%

Hence, the  percentage of the students in the band that play a percussion instrument is 14.6%

The same is relevant

Answer:1

1258

Step-by-step explanation:

Do like terms.

Answer:

The answer was 1258

Step-by-step explanation:

1256x - 14x + 16x

add similar elements = 1256x - 14x + 16x

1258

Answer:Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?

Step-by-step explanation:

Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?

Answer:

I assume this is a multiple choice question however I can't see the answers. If one of the answers is 40-16a that is the correct answer.

Step-by-step explanation:

8×(5-2a)=8×5+8×-2a=40+-16a=40-16a

Answer:

ff

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A function would be f(x), a output for each x input.

The slope intercept form is y - mx + b! *keep this in mind*

If you graph this as well, it would be easier to see if its a function too. If the line crosses through it once, it is indeed a function. If it doesn't, it isn't

Hope this helps

Answer:

44

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

Let’s call the tens digit x and the unit digit y. From the question we know that x + y = 12 and that x = y^2, giving us the following system of equations:

x + y = 12

x - y^2 = 0

Let’s multiply the second one by -1, to get rid of one of the unknowns in the system.

x + y = 12

-x + y^2 = 0

By adding together the two, we get y^2 + y = 12. As that is a quadratic equation, let’s make it of the form Ay^2 + By + C = 0, so subtracting 12 from each side gives as y^2 + y - 12 = 0. Then let’s solve the quadratic equation to find out the two values of y we get out of it, one of which is legal in the above system of equations.

y = (-B +/- sqrt(B^2–4AC))/2A

This time, both A and B are 1, while C is -12. By entering them in the above formula, we get the inner part of the square root to be 49, and thus the square root to give 7. So solving y = (-1 +/- 7)/2 gives two alternatives, either y = -4 (impossible, as it has to be a digit, ie has to be between 0 and 9 inclusive) or y = 3.

Then let’s return to the system of equations, and as both digits appear without any modifiers in the first one, let’s use it to find x with. So x + 3 = 12, x = 12 - 3, x = 9.

As x is the tens digit and y the unit digit per how the variables were chosen, we can with confidence say that the number is 93.

Answer:

let's take

y=0

when y=0,

y=x-1

therefore,

0=x-1

when we cross -1 the other side it becomes a positive. so when y=0, x=1.

Answer:

where is the diagram

Step-by-step explanation:

?

Answer:

C !!!   THE MAYOR HAS MORE POWER THAN THE CITY COUNCIL !!!

Step-by-step explanation:

Answer:

D

Step-by-step explanation: So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.

Answer:

The product of a rational number and an irrational number is irrational.

Step-by-step explanation:

The product of a rational number and an irrational number is irrational. For example, let p= 1 be a rational number and q= 3.567be an irrational number if multiplied together the result would be 3.567, which is an irrational number.

Hope this helped!

Answer:

(I rotated the trapezoid on the origin)

T' (-2, 2)

R' (-2, 5)

A' (-6, 2)

P' (-7, 5)

Step-by-step explanation:

The original points of the trapezoid were (2, -2), (2, -5), (6, -2) and (7, -5). Flipping trapezoid TRAP on the origin has the x and y coordinates showing their opposites from the original. So, find the opposite of each x and y coordinate to get the coordinates of the rotated trapezoid T'R'A'P'.

2/3b + 19 = 35

          -19    -19

----------------------

2/3b  =  16

÷2/3    ÷2/3

----------------------

b  =  24

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount ([tex]C_{o}[/tex]), measured in monetary units, and week earning ([tex]R[/tex]), measured in monetary units, multiplied by a number of weeks ([tex]n[/tex]), dimensionless:

[tex]C =C_{o} + n\cdot R[/tex] (1)

Now we clear the number of weeks within the formula:

[tex]n = \frac{C-C_{o}}{R}[/tex]

If we know that [tex]C_{o} = \$\,145[/tex], [tex]C = \$\,450[/tex] and [tex]R = \$\,36[/tex], then the number of weeks is:

[tex]n = \frac{\$\,450-\$\,145}{\$\,36}[/tex]

[tex]n = 8.472[/tex]

Paul will have no more than $ 450 in next 8 weeks.

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

EQUATIONS:

24x + 32y = 264

x + y = 9

x is shirts, y is pants

SOLVING by substitution:

x = 9 - y

24(9 - y) + 32y = 264

216 - 24y + 32y = 264

8y = 48

y = 6

x + 6 = 9

x = 3

Answer:

1.33

Step-by-step explanation:

Answer:

1 and 1/5

Step-by-step explanation:

2/5 divided by 1/3, so keep change flip applies to this so keep 2/5 change division to multiplication and flip 1/3 to 3/1 that changes the equation to 2/5 times 3/1 and that equals 1 and 1/5

Answer:

$1.25/hour

Step-by-step explanation:

9am to 1 pm = 4 hours

52-47=5

5/4 = $1.25/hour

Answer:

they are dependent

Step-by-step explanation:

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answer:

? = -36

Step-by-step explanation:

When you raise an exponent to an exponent, the resulting power is a product of the two exponents.

For this problem, you can solve for the missing value by writing:

[tex]?*1/3=-12[/tex]

Divide both sides by 1/3 to isolate the missing value.

[tex]?=\frac{-12}{1/3}[/tex]

Solve for ?.

[tex]?=-36[/tex]

Answer:

good choice in vehicle!

Step-by-step explanation: