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Answer:

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Step-by-step explanation:

Given:

(2x + 5) / (x² - 3x) - (3x + 5) / (x³ - 9x) - (x + 1) / x² - 9

Factor the denominators

(2x + 5) / x(x - 3) - (3x + 5) / x(x - 3)(x + 3) - (x + 1) / (x - 3)(x + 3)

Lowest common multiple of the 3 fractions is x(x - 3)(x + 3)

= (2x+5)(x+3) - (3x + 5) - (x + 1)x / x(x - 3)(x + 3)

= (2x²+6x+5x+15) - (3x + 5) - (x² + x) / x(x - 3)(x + 3)

= 2x² + 11x + 15 - 3x - 5 - x² - x / x(x - 3)(x + 3)

= x² + 7x + 10 / x(x - 3)(x + 3)

Solve the numerator.

Solve the quadratic expression by finding two numbers whose product is 10 and sum is 7

The numbers are 5 and 2

= x² + 5x + 2x + 10 / x(x - 3)(x + 3)

= x(x + 5) + 2(x + 5) / x(x - 3)(x + 3)

= (x + 5)(x + 2) / x(x - 3)(x + 3)

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Recall,

x(x - 3)(x + 3) is a factor of x³ - 8x

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

(x + 5)(x + 2) / x³ - 9x

B. StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction

(x + 5)(x + 4) / x³ - 9x

C. StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction

2x + 11 / x³ - 12x - 9

D. StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

3(x + 2) / x² - 3x

Answer:

Step-by-step explanation:

a^1=-2

a^n=a×a^n-1

Answer:

Decreases the variability of a sample

Step-by-step explanation:

Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)

Therefore, we have;

[tex]\sigma_{\overline x} = \dfrac{\sigma }{\sqrt{n} }[/tex]

Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

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Answer:

If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.

Step-by-step explanation:

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

y = 6x-7

Step-by-step explanation:

product of 6 and x

6x

7 less than the product of 6 and x

6x-7

y = 6x-7

Answer:

Let me look some things up.

Step-by-step explanation:

Then I will get back to you

Answer:

A. $1795

B. 7

Step-by-step explanation:

Given the following data;

Cost price, Cp = $5

Number of sandwiches sold, Ns = 359 sandwiches.

Number of customers, Nc = 245 customers.

a. To find how much money you have in sandwich sales;

Total amount of money = Cp * Ns

Total amount of money = 5 * 359

Total amount of money, T = $1795

B. To find how many sandwiches per customer did you sell;

Sandwiches per customer = T/Nc

Sandwiches per customer = (1795/245

= 7.33 ≈ 7

Answer:

B' (2, - 5 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

B (- 5, 2 ) → B' (2, - 5 )

Answer:

(2,7/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-4+8) /2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(2+5) /2 = 7/2 =

The midpoint is (2,7/2)

Answer:

(2, [tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Hi there!

We want to find the midpoint of (-4,2) and (8,5)

To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion

[tex]x_1[/tex]=-4

[tex]y_1[/tex]=2

[tex]x_2[/tex]=8

[tex]y_2[/tex]=5

Now substitute those values into the formula and solve

To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]

x=[tex]\frac{-4+8}{2}[/tex]

Add the numbers together on the numerator

x=[tex]\frac{4}{2}[/tex]

Divide

x=2

The value of the x-coordinate is 2

Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]

y=[tex]\frac{2+5}{2}[/tex]

Add the numbers together on the numerator

y=[tex]\frac{7}{2}[/tex]

So the point is (2, [tex]\frac{7}{2}[/tex])

Hope this helps!

Answer:

please mark me brainlist

Step-by-step explanation:

Answer:

[tex]( - 11.7)[/tex]

Range 18

Step-by-step explanation:

Twice the amplitude.

Answer:

1. a>-a

EXAMPLE: 5>-5

2. a=-a

3. a<-a

EXAMPLE: -3<--3 = -3<3

Step-by-step explanation:

Answer:

$5,102.05

Step-by-step explanation:

Present value of the car = $21,500

Present percentage value = 100% = 1

Percentage of Depreciation per year = 25% = 0.25

Years of depreciation = 5 years

The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation

= 21,500(1 - 0.25)^5

= 21,500(0.75)^5

= 21,500(0.2373046875)

= 5,102.05078125

Approximately,

The value of the car after 5 years = $5,102.05

Answer:

The given graph is a function.

Step-by-step explanation:

There is only one given graph, and that graph is a function. In order to determine which graph is a function, conduct the vertical line test. Can a vertical line pass through the represented data set without crossing two y-values? (i.e. A 'sideways parabola' is not a function).

Answer:

Step-by-step explanation:

The cos of an angle is the adjacent / hypotenuse.

In this case the adjacent and hypotenuse are the same length so the answer is 1 in some form.

You are going left when you talk about 180 degrees. So the adjacent = - 1

The answer you want is -1 / 1

Cos(180) = - 1

c. 1600

1200 : 3 * 4

= 400 * 4

= 1600

The capacity of this coliseum is 1600

The correct option is (C)

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

Total people attended the Coliseum= 1200

let he capacity be x

3/4*x= 1200

x= 1200*4/3

x= 1600

Learn more about fraction here:

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Your question is incomplete/other language, probably the traslated question/missing part is:

In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?

enjoy it

it best answer for you

Answer:

8a+4b

Step-by-step explanation:

Answer:

[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]

Answer:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

Answer:

8x^3/2

Step-by-step explanation:

(4x)^3/2 = ( 4^3/2 ) ( x^3/2 ) =8x^3/2

Answer:

Option d

Step-by-step explanation:

-5(8x)

= -5×8×x

= -40x

Answered by GAUTHMATH

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Explanation:

We don't have a direct variation because the initial cost isn't $0

The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.

Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.

So that's why we have partial variation instead.

The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.

From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.

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In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.