What is the simplest form of

x^2+ 5x-36/
X^2-16


?

On solving the provided question, we can say that The pace at which the y-values change relative to the x-values is the average rate of change for a function, average rate = m = 81-9/6 = 72/6 = 12

Mathematics is the study of quantities and their variations, equations and related structures, shapes and their locations, and the locations where they can be found. The term "function" refers to the relationship between a set of inputs, each with its own output. A function is a connection between inputs and outputs in which each input leads to a single, distinct result. Each function is assigned a domain and a codomain, also known as a scope. f is commonly used to denote functions (x). The input is an x. Based on the following factors, there are four main types of functions available: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) =

x1, x2 = 3,9

average rate = f(x2) - f(x1) / 6

average rate = m = 81-9/6 = 72/6 = 12

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Answer:

Step-by-step explanation:

The slope of a line is the change in y (the vertical axis) divided by the change in x (the horizontal axis).

Given the two points (6,7) and (16,22), we can calculate the slope as follows:

Change in y = 22 - 7 = 15

Change in x = 16 - 6 = 10

Therefore, the slope of the line passing through the two points is:

slope = change in y / change in x = 15 / 10 = 3/2

So the slope of the line is in its simplest form, 3/2.

Regenerate response

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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The value of x is [0,∞] and y is [0,∞]. The solution has been obtained by using the elimination method.

What is elimination method?

The elimination approach involves removing one of the variables from the system of linear equations by employing addition or subtraction together with multiplication or division of the variable coefficients.

We are given two equations as

7x + 14y = 28     ....(1)

5x + 10y = 20     ....(2)

Now, on multiplying equation (1) by 10, we get the equation as

70x + 140y = 280     ....(3)

On multiplying equation (2) by 14, we get the equation as

70x + 140y = 280     ....(4)

Since, we are getting the same equations so, the system has infinitely many solutions.

Hence, the value of x is [0,∞] and y is [0,∞].

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Explanation:

Points B and D are midpoints of segments AC and CE respectively. This is because of the tickmarks indicating congruent segment pieces (AB = BC and CD = DE)

Joining the midpoints together forms a midsegment. The midsegment is half as long as the side parallel to it. This means BD is half as long as AE. Flip things around to say that AE is twice as long as BD.

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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The Shanika Company's inventory levels changed during 20Y6. The materials inventory increased, the work in process decreased, and the finished goods slightly increased.

Based on the information provided, it appears that the Shanika Company has gone through some changes in its inventory levels during the 20Y6 period.

The company's materials inventory has increased from $274,730 on January 1 to $346,160 on December 31, indicating that the company has acquired more raw materials over the course of the year.

On the other hand, the work-in-process inventory has decreased from $494,510 to $470,780, suggesting that the company has been able to efficiently process its raw materials into partially completed goods over the year.

Finally, the finished goods inventory has increased slightly from $475,280 to $481,160, indicating that the company has been able to produce more finished products over the course of the year and has had sufficient demand for its products to keep the finished goods inventory at a relatively stable level.

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Step-by-step explanation:

You would find a the same way as finding B, just backwards

[tex]( {x}^{2} - 1)( {x}^{2} + 5)[/tex]

Distributing we get

[tex] {x}^{4} + 5 {x}^{2} - {x}^{2} - 5[/tex]

Simplifying it...

[tex] {x}^{4} + 4 {x}^{2} - 5[/tex]

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

Using their unit rates, the 12-ounce bottle costs lesser per ounce than the 8-ounce bottle of stay clean shampoo.

The unit rate is the cost per unit.

The unit rate is computed as the quotient of the total cost and the number of units.

The cost of a 12-ounce bottle of stay clean shampoo = $8

The unit rate per ounce of the 12-ounce bottle = $0.67 ($8/12)

The cost of an 8-ounce bottle of stay clean shampoo = $6

The unit rate per ounce of the 8-ounce bottle = $0.75 ($6/8)

Thus, comparing the unit rate of the 12-ounce bottle with the 8-ounce bottle, we can conclude that it costs more per ounce to buy the 8-ounce bottle than the 12-ounce bottle.

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Answer:

5%

Step-by-step explanation:

We can use the formula for simple interest to solve for the interest rate:

I = Prt

where:

I is the interest

P is the principal (the amount borrowed)

r is the interest rate

t is the time in years

We know the principal (P) is $8,500, the interest (I) is $1,785, and the time (t) is 42 months, or 42/12 = 3.5 years. So, we can plug in the values and solve for r:

I = Prt

$1,785 = $8,500 * r * 3.5

$1,785 / $8,500 / 3.5 = r

r = 0.05, or 5%

So, the simple interest rate on Tamaya's car loan was 5%.

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

A graph is a pictorial representation of a function.

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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Answer:

It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.

Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle.    

  For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

     angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.

The two ways of writing the number 6000 will be 10 x 600 and 100 x 60.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Multiplication is the process of determining the product of two or more numbers in mathematics.

Given that Hassan discovers that the result of two multiples of 10 is 6000.

The two ways can be calculated as:-

10 x 600 = 6000

100 x 60 = 6000

Hence, the two ways are 10 x 600 = 6000 and 100 x 60 = 6000.

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Hi there, here's your answer:

Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.

Also [tex]\frac{2}{3} rd[/tex] of group A have an A

While 40% of group B have an A

To find:
Fraction of the class that has A

Solution:

First, we find the % of students in group A who have an A:

Since [tex]\frac{2}{3} rd[/tex] of group A have an A,

[tex]\frac{2}{3}[/tex] × [tex]50[/tex]  (∵ 1 : 2 = 50 : 100)

[tex]= \frac{100}{3} = 33.33[/tex]   (i)

Therefore, % of students in group A who have an A = 33.33%

Now, we find the % of students in group B who have an A:

Since 40% of group B have an A:

[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)

= 4 × 5 = 20   (ii)

Adding (i) and (ii), we get
33.33 + 20 = 53.33%

Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]

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Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

The length of the wood necessary to frame the outside of the railing will be 48.167 inches.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The length of the wood necessary to frame the outside of the railing will be given as,

l² = 32² + 36²

l² = 1,024 + 1,296

l² = 2,320

I = 48.167 inches

The length of the wood necessary to frame the outside of the railing will be 48.167 inches.

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Answer:425

Step-by-step explanation:

993-43=950

950/2=425

Answer:

$475

Step-by-step explanation:

Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:

x + (x + $43) = $993

Expanding the right side:

2x + $43 = $993

Subtracting $43 from both sides:

2x = $950

Dividing both sides by 2:

x = $475

So the cost of the dryer is $475.

Rounded to the nearest hundredth of an inch, the distance is 310.91 inches.

How far apart or how far away items or locations are from one another is measured numerically as distance. A physical quantity, it is typically stated in terms of meters, kilometers, miles, or feet. Given that it simply has magnitude and no direction, distance is a scalar quantity.

Usually, a formula is used to determine the distance between two points. One example is the distance formula in Euclidean geometry, which includes computing the square root of the sum of the squares of the coordinate differences between the two points.

Distance can be measured in a variety of contexts, including physics, where it is used to describe an object's displacement through time, and geography, where it is used to define the separation between two points on the surface of the Earth. It is also frequently used in daily life when people go for walks or runs or when they drive from one area to another to calculate the distance they travel.

There are no holes in the first and last 2 inches of the metal strip, leaving 3410 inches (3414 - 2 - 2) as the remaining length.

We can divide the total remaining length by the number of gaps between the holes to determine the distance between the centers of two adjacent holes. The distance between the 12 holes is determined by the fact that there are 11 gaps between them.

distance = (total length - length of 2 end pieces) / (number of gaps)

distance = (3410 in.) / 11

distance ≈ 310.91 in.

Rounded to the nearest hundredth of an inch, the distance is 310.91 inches.

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Answer: 83%

Step-by-step explanation: Take 250 and divide it by 300

Answer:

20%

Step-by-step explanation:

1 + r = 1.2 = 1 + 0.2 = 1 + 20%

r = 20%

The percent growth is 20%.

Answer:

(B) "1 to 5."

Step-by-step explanation:

The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."

Answer:

76

Step-by-step explanation:

(16x3)+28

Its 16x3 because there's 3 half hours in 1.5hrs  

By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.

In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:

y = 5x - 7      .......equation 1.

3y - 2x = -12          .......equation 2.

By using the substitution method to substitute equation 1 into equation 2, we have the following:

-3(5x - 7) - 2x = -12

-15x + 21 - 2x = -12

-17x = -12 - 21

17x = -33

x = -33/17 or -1.94

For the value of y, we have:

y = 5(-33/17) - 7

y = -165/17 - 7

y = 2.71

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Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:

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Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.

Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.

Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.

Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.

Step-by-step explanation:

Banks and other financial institutions may offer cash loans for reasons like revenue generation and marketing

Banks and other financial institutions may offer cash loans to people who did not apply for them for several reasons which include

Other reasons include:

Risk management, Customer convenience, Mistakes/Errors

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