Marcus is rewriting a polynomial by combining like terms. which terms does he still need to combine to finish rewriting the polynomial?

Answers

Answer 1

Marcus needs to combine the like terms that have the same variable and exponent in order to finish rewriting the polynomial.

When rewriting a polynomial by combining like terms, Marcus needs to look for terms that have the same variable and exponent. Like terms are terms that can be added or subtracted because they share these common characteristics. For example, in the polynomial\(3x^2\)- 4x - 7, Marcus would need to combine the terms \(3x^2\) and \(5x^2\) since they have the same variable (x) and exponent (2). After combining these terms, the polynomial can be rewritten as (\(3x^2+5x^2\) + (2x - 4x) - 7.

Marcus would still need to combine the terms \(3x^2\\\)and \(5x^2\), as well as the terms 2x and -4x. By adding or subtracting these like terms, Marcus will be able to simplify the polynomial further. Once all the like terms are combined, the polynomial will be fully rewritten in a simplified form, with no more terms that can be combined.

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Related Questions

which graph represents the solution to this system of inequalities? y < -x - 3 y > 2x - 4

Answers

The intersection region of every solution in the system of inequalities is the system's solution. Inequality y≤x2 should be graphed first. y=x2 serves as the related equation.

Which point is a solution to the system of inequalities?Get y alone on one side of a two-variable linear inequality (like x and y) before graphing it. Once the inequality sign has been replaced with an equality sign, take into consideration the relevant equation that results. This equation's graph is a straight line.Create a comparable graph for every systemic inequality. The intersection region of every solution in the system of inequalities is the system's solution.

Example

Graph the inequalities and solve the system:

y≤x−2y>−3x+5

Inequality yx2 should be graphed first. y=x2 serves as the related equation.

The border line is solid due to the inequality's, which is not a rigid one.

The inequality yx2 should be substituted in for a point that is not on the line, such as (0,0).

0≤0−20≤−2

It's untrue. The point (0,0) is therefore not part of the solution. Subtract from the line's lower half.

To do the same for the second inequality's related equation, y>3x+5, which has a rigorous inequality, draw a dashed line. The half that does not contain the point (0,0) should be shaded because it does not satisfy the inequality at that location.

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which graph represents the solution to this system of inequalities? y &lt; -x - 3 y &gt; 2x - 4

NEED HELP
LLEAE HELP

NEED HELPLLEAE HELP

Answers

Answer:

theres nothing its just black

Step-by-step explanation:

Answer:

There is nothing there, but if you add a photo I can edit this comment and add a answer, but other than that thx for the points, and can I have brainliest if thats all right

Step-by-step explanation:

If you understand this you are smart also will get brainlest. !!Maska slid the square below 2 spaces to the right and 2 spaces down.

Where would the square be located now?

If you understand this you are smart also will get brainlest. !!Maska slid the square below 2 spaces

Answers

Answer:

Step-by-step explanation:

The easiest point to pick is the upper left corner. You can follow it quite easily,

Two spaces right puts that upper left corner at (1,1).

It means that x = 1 and y = 1

Two spaces down puts the upper corner at (1,-1)

The point means that

x = 1

y = - 1

The result is the second last graph from the bottom.

question in the picture

question in the picture

Answers

Statement:

The radius of the circle is 8 inches.

To find out:

The area of the circle

Solution:

Radius (r) = 8 inches.π = 3.14We know, area of a circle = πr²Therefore, the area of the circle= 3.14 × (8)² square inches= 3.14 × 64 square inches= 200.96 square inches

Answer:

D. 200.96 square inches

Hope you could understand.

If you have any query, feel free to ask.

Answer:

200.96 square inches

Step-by-step explanation:

π r^2

(3.14)*(8)^2

201 in^2

which number comes next in this series 5, 7, 11, 19, 35

Answers

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

plz help!! will give brainliest serious answers only

plz help!! will give brainliest serious answers only

Answers

answer: 6/8


explanation :

Answer:

6/8

pls brain me

Step-by-step explanation:

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 18 engines and the mean pressure was 5.6 pounds/square inch with a standard deviation of 0.8. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Answers

The z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.

The null hypothesis is that the valve produces a mean pressure of 5.5 pounds/square inch. The alternative hypothesis is that the valve produces a mean pressure greater than 5.5 pounds/square inch.
The decision rule for rejecting the null hypothesis at a significance level of 0.01 is to reject it if the test statistic (z-score) is greater than 2.33.
To calculate the z-score, we use the formula:
z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))
z = (5.6 - 5.5) / (0.8 / sqrt(18))
z = 0.3162
Since the z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.

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6 is 0.2% of what percent?

Answers

Answer: 3000

Step-by-step explanation:

\(\frac{0.2}{100}\)x\(\frac{x}{1}\) =6

multiply the fractions

\(\frac{0.2x}{100}\) = \(\frac{6}{1}\)

cross multiply

\(0.2x = 600\)

Divide both sides by the coefficient of \(x\)

\(\frac{0.2x}{0.2} = \frac{600}{0.2} \\x = 3000\)

what is the measure of a°?

1. 231
2. 39
3. 129
4. 51

what is the measure of a?1. 2312. 393. 1294. 51

Answers

Answer:

the answer is 129 or 51 plzz trust me

a histogram with the hills to the far left means the image is overexposed.

Answers

The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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5x - 16xy +16y to the power of 2* +7x + 17y to the power of 2*

(16y and 17y are both to the power of 2)

Answers

The value of variable x for the given equation, 5x - 16xy +16y² +7x + 17y² is −33 y²/ 4(3 − 4y).

Give a brief account on algebraic expression.

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression said to be a combination of variables and constants. Any multiplied value that is prefixed to a variable is a factor. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.).

5x - 16xy +16y² +7x + 17y²

= 12x - 16xy + 33y²

Using the Quadratic Formula, we have:

x = −33 y²/ 4(3 − 4y)

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If 2A:3B=5:6 and 3B:2C=36:15, then find A:C​

Answers

Answer:

A : C = 2 : 1

Step-by-step explanation:

Expressing the ratios in fractional form

\(\frac{2A}{3B}\) = \(\frac{5}{6}\) ( cross- multiply )

15B = 12A ( divide both sides by 15 )

B = \(\frac{12}{15}\) A = \(\frac{4}{5}\) A

and

\(\frac{3B}{2C}\) = \(\frac{36}{15}\) ( cross- multiply )

45B = 72C ( substitute B = \(\frac{4}{5}\) A )

45 × \(\frac{4}{5}\) A = 72C

36A = 72C ( divide both sides by C )

36 × \(\frac{A}{C}\) = 72 ( divide both sides by 36 )

\(\frac{A}{C}\) = \(\frac{72}{36}\) = \(\frac{2}{1}\)

Then

A : C = 2 : 1

Deeva poured grape juice from a jug into 12 identical cups. the volume of grape juice in the jug was 6720 ml. he served 8 cups to his friends. how much grape juice had he left?

Answers

The volume of juice that is left with Deeva after serving to his friends is 2240ml.

Total volume of the juice provided is 6720ml.

Deeva is serving 12 identical cups.

So, Each cup will have volume of juice in it which is given by,

Unitary method,

Juice in each cup = Total volume of juice/number of cups

Juice in each cup = 6720/12

Volume of juice in one cup is 560ml.

Deeva served total of 8 cups of juice,

So, the volume of juice served = 8 x volume of on ecup juice

Volume of juice served = 8 x 560

Volume of juice served = 4480ml

So, the volume of juice left = 6720 - 4480

The volume of juice left = 2240ml.

So, the volume of juice left is 2240ml.

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Functions, graphs, combining functions. Trigonometric, Exponential, Logarithmic and Inverse Functions Functions, graphs, combining functions. Trigonometric, Exponential, Logarithmic and Inverse Functions

Answers

Functions, graphs, and combining functions are essential concepts in mathematics. Trigonometric, exponential, logarithmic, and inverse functions each have unique characteristics and can be represented graphically

Functions, graphs, and combining functions are important concepts in mathematics.

Trigonometric functions, exponential functions, logarithmic functions, and inverse functions are all types of functions that can be represented graphically.

Trigonometric functions, such as sine, cosine, and tangent, are used to model periodic phenomena and have specific patterns in their graphs.

Exponential functions, on the other hand, grow or decay rapidly and are commonly used to represent population growth, radioactive decay, or compound interest. Logarithmic functions are the inverse of exponential functions and are used to solve equations involving exponential quantities.

When it comes to combining functions, you can perform operations such as addition, subtraction, multiplication, and composition. Addition and subtraction involve adding or subtracting corresponding values of two or more functions.

Multiplication combines the outputs of two functions by multiplying them together. Composition is the process of applying one function to the output of another function.

To understand functions better, it is helpful to graph them. Graphing functions allows you to visualize their behavior, identify key features such as intercepts and asymptotes, and make predictions based on the graph.

In summary, functions, graphs, and combining functions are essential concepts in mathematics. Trigonometric, exponential, logarithmic, and inverse functions each have unique characteristics and can be represented graphically.

Understanding these concepts and their graphs can help solve problems and make predictions in various fields of study.

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Find the equation of the linear function z=c+mx+ny whose graph intersects the xz - plane in the line z=4x+10= and intersects the yz - plane in the line z=6y+10

Answers

The equation of the linear function is:

z = 10 + 4x + 6y

To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.

Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.

When the graph intersects the xz-plane (y = 0), we have:

z = c + mx + n(0) = c + mx

Comparing this with z = 4x + 10, we can equate the coefficients:

c = 10 (the constant term)

m = 4 (the coefficient of x)

When the graph intersects the yz-plane (x = 0), we have:

z = c + m(0) + ny = c + ny

Comparing this with z = 6y + 10, we can equate the coefficients:

c = 10 (the constant term)

n = 6 (the coefficient of y)

Therefore, the equation of the linear function is:

z = 10 + 4x + 6y

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What is the total volume of Mountain Dew in this six pack? Each can is 5 inches tall and has a diameter of 3 inches.

Answers

The total volume of Mountain Dew in this six-pack is approximately 212.058 cubic inches.

Assuming that each can in the six-pack of Mountain Dew is cylindrical in shape, we can use the formula for the volume of a cylinder to calculate the volume of each can, and then multiply that by the total number of cans in the pack.

The formula for the volume of a cylinder will be;

V = πr²h

where V is volume, r is radius (half the diameter), and h is height.

The radius of each can is 1.5 inches (half of 3 inches), and the height is 5 inches. So the volume of each can is;

V = π(1.5)²(5) = 35.343 cubic inches

To find the total volume of the six-pack, we need to multiply this by the number of cans;

Total volume = 35.343 cubic inches/can × 6 cans

= 212.058 cubic inches

Therefore, the total volume is  212.058 cubic inches.

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There are 14 dogs in a particular class at a dog show. blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. in how many different ways can the ribbons be awarded?
a. 1,001
b. 6,006
c. 24,024
d. 38,416

Answers

As per the combination method, the number of ways can the ribbons be awarded is 24,024

The general formula to calculate the combination is written as,

nCr = n!/r! (n - r)!

where n refers the set or population and r refers subset of n or sample set

Here we have given that there are 14 dogs in a particular class at a dog show. blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers,

Here we need to find the number of different ways can the ribbons be awarded.

While we looking into the given question, the following details are given in it,

Total number of dogs = 14

Number of ribbons = 5

Which means that the value on n = 14 and the value of r = 5.

As per the given question we know that,

There are 14 possibilities for blue one

And then there are 14 - 1 = 13 possibilities for red ribbon.

And for the next yellow one has 12 possibilities

Then the white one has 11 possibilities.

Therefore, the total number of ways is

=> 14 x 13 x 12 x 11

=> 24024

Therefore, option (c) is correct.

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Write a sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​

Answers

A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

What is sine function?

A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.

Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,

a = 5

b = (2π)/(3/7) = 14π/3

d = 2

Substituting the values in the sine function,

a sin b (x-c) + d

= 5 Sin(16π/3)(x-0) + 2

= 5 Sin(16πx/3) + 2

Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

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lauren makes $36 an hour. she gets a 10% raise. she works 40 hours a week. how much more money will she make this week as a result of her raise?

Answers

Answer:

$1584

Step-by-step explanation:

what are the coordinates of the x-intercept of the graph?
a. (-6,0)
b. (0,-6)
c. (9,0)
d. (0,9)​

what are the coordinates of the x-intercept of the graph? a. (-6,0)b. (0,-6)c. (9,0)d. (0,9)

Answers

Answer:

d. (9, 0)

Step-by-step explanation:

(x, y) so...

Where the line crosses the x-plane, x = 9

Since this is the x-intercept y will always equal zero

Therfore x-int = (9, 0)

What is 3 x 4/19 in fraction

Answers

Answer:

\(12/19\)

Step-by-step explanation:

When multiplying fractions, just multiply the numerator and the denominator. In this case, a whole number, or 3 is also known as \(3/1\).

\(\frac{4}{19} * \frac{3}{1}\)

You will get 12 for the numerator and 19 as the denominator.

Answer: 12/19

Explanation: use a= a/1 and put 3/1 times 4/19 then multiply 3 and 4 to get 12 and 1 and 19 to get 19 therefore answer is 12/19.

Hope that helps! Have a good day :)

Which equation below and value for x fits this model?

A)
2x = 30, x = 15

B)
2x = 6, x = 2

C)
2x = 6, x = 3

D)
x + x = 6, x = 1.5

Which equation below and value for x fits this model?A)2x = 30, x = 15B)2x = 6, x = 2C)2x = 6, x = 3D)x

Answers

Answer: I wanna say it's B

Step-by-step explanation: but I'm not completely sure.

What is the area of a rectangle if the length is (3x -5) inches and the width is (4x + 1) inches? What is the area of x=7?

Answers

Answer:

the area of rectangle is 12x²+17x-5

Rylan is a marketing director for a musician and is researching ways to improve the attendance at the concerts. Currently, the attendance averages 10,500 people with an average ticket cost of $45. In her research, she has discovered that when ticket prices are lowered by $1 then the attendance will increase by 300 people. She has a meeting scheduled with the President of Business Operations who has asked her to maximize revenue. She is trying to calculate a model, but is struggling to determine which one works. A(x) = (45 - x)(10,500 + 300x) B(x) = (45 - x)[10,500 + 300(45-x)]1) Which model should Rylan use? 2) Find the ticket price that will lead to the maximum revenue for the team. 3) What is this maximum revenue? To make matters more difficult, the President of Business Operations wants her to determine the revenue potential of $25 and $30 tickets.4) revenue for $25 tickets = 5) revenue for $30 tickets =

Answers

Answer:

Step-by-step explanation:

Find the coordinates of point G that lies along the directed line segment from F(-1, -1) to H(-8, 20) and partitions the segment in the ratio of 5:2.A. (-9, 19)B. (-5, 15)C. (-4.5, 9.5)D. (-6, 14)

Answers

It is given that the point G lies on the line segment FH and divides it in the ration 5:2.

So we will use the section formula to obtain the coordinates of the point G.

Now the x-coordinate of the point G will be:-

\(\begin{gathered} G_x=\frac{5(-8)+2(-1)}{5+2} \\ =\frac{-40-2}{7} \\ =\frac{-42}{7} \\ =-6 \end{gathered}\)

Now the y-ccordinate of the point G will be:-

\(\begin{gathered} G_y=\frac{5(20)+2(-1)}{5+2} \\ =\frac{100-2}{7} \\ =\frac{98}{7} \\ =14 \end{gathered}\)

So the coordinates of the point G are (-6, 14).

Hence the correct option is (D).

Think of a vending machine on campus. The vending machine has a coin collector that should be emptied regularly. In the past, the vending machine company emptied the coin collector every 14 days, and recorded the weight of the coin collector when it is emptied. In the past 100 visits, the average weight of the coin collector was 22 pounds and the standard deviation was 8.
If the coin collector is full, the vending machine is unusable. But emptying the collector is also an expense. The company finds that it is optimal to empty a coin collector when it weighs 20 pounds. The company wants to test the following hypotheses:
Null hypothesis: the mean weight of the coin collector emptied every 14 days is 20 pounds.
Alternative hypothesis: the mean weight of the coin collector emptied every 14 days is not 20 pounds.
Find the t-statistic of the test, and determine if the null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)
a. t-statistic is 2, so the null hypothesis is not rejected.
b. t-statistic is 1.25, so the null hypothesis is not rejected.
c. t-statistic is 2, so the null hypothesis is rejected.
d. t-statistic is 2.5, so the null hypothesis is not rejected
e. t-statistic is 1.25, so the null hypothesis is rejected.
f. t-statistic is 2.5, so the null hypothesis is rejected.

Answers

The null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)- t-statistic is 2.5, so the null hypothesis is rejected.

Hypothesis

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population.

It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

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Solve 6x + c = k for x

Answers

Answer:

106 bucks

Step-by-step explanation:

Answer:

x = - 1/6c + 1/6k

Step-by-step explanation:

...........

Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land. Which of the following represents the number of peanuts (x) he could plant on 8,500 square metres of land? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000 Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land . Which of the following represents the number of peanuts ( x ) he could plant on 8,500 square metres of land ? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000​

Answers

Answer: 765/8





Explanation: your mom told me lastnight

The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

What is unitary method?

"It is a method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A farmer can plant 45 kg of peanuts on 4,000 square meters of land.

Using unitary method,

\(\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89\)

This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.

We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.

Here, 1 kg = 88.89 square meters

          x kg = 8500 square meters

\(\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg\)

Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

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15. Pretty spent 4/9 of her time washing, ¹/3 of the remaining time reading and the remaining time for playing. What fraction of the time was spent playing?​

Answers

Pretty spent 4/9 of her time washing

=> the remaining time: 1 - 4/9 = 9/9 - 4/9 = 5/9

¹/3 of the remaining time reading

=> the time was spent playing: 5/9 × (1 - 1/3) = 5/9 × 2/3 = 10/27

Answer: 10/27

Ok done. Thank to me :3

man travels 60 miles to work at an average speed of 40mph. He travels home the same route at an average speed of 60mph. What is the average speed of his round trip

Answers

Answer:1881 6040mph 18x

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