Simplify (12x3 - 8x2) - (3x3 + 9x2 + x - 7).

Answers

Answer 1

Answer:

9x^3-17x^2-x+7

Step-by-step explanation:

Distribute the negative you'll get

(12x^3-8x^2)+(-3x^3-9x^2-x+7)

Combine like terms

12x^3-3x^3=9x^3 , -8x^2-9x^2=-17x^2 , -x , +7

Putting it all together:

9x^3-17x^2-x+7


Related Questions


A different computer is advertised as 30% off of the original price. After the discount, the tax is $78.75

• Determine the original price of this computer.

Show your work or explain your answer.

Answers

The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

How to calculate original price of computer?

The original price of the computer is 112.5 .The amount saved is 33.75The percentage is calculated by dividing the required value by the total value and multiplying it by 100.

Here,

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Coupon = 30% off

Coupon = 30% off= 78.75

This means that the cost of the computer is only 70% since 30% is off.

70% = 78.75

We know that the original price is 100%.

So,

70% = 78.75

Multiply 100/70 on both sides.

100/70 x 70% = 100/70 x78.75

100% =112.5

The original price of the computer is 112.5

The amount saved is:

112.5-78.75=33.75

Thus,

The original price of the computer is 112.5

The amount saved is 33.75

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Simplify: [tex]\frac{10m}{5m}[/tex]

Answers

Answer:

2

When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.

2 points
Calculate the surface area of this kleenex box. Length = 22 cm, Width = 7
cm, Height = 10 cm

Answers

Answer:

210 cm2

Step-by-step explanation:

It takes 126 cubes that have edge lengths of 1/3 ft to completely fill a plastic bin. What is the area of the base of the bin?​

Answers

The area of the base of the bin is 9 ft^2.

The given information states that the bin is filled with 126 cubes that have edge lengths of 1/3 ft. To determine the area of the base of the bin, we must first determine the total volume of the bin.

Since each cube has a volume of 1/27 ft^3, the total volume of the bin is 126/27 ft^3. Since the volume of a rectangular prism is equal to the length times the width times the height, we can solve for the area of the base of the bin by rearranging the formula to A = V/h, where A is the area, V is the volume, and h is the height.

We can substitute the values given to obtain A = 126/27 ft^3/h. Since the height of the bin is equal to the edge length of the cubes, which is 1/3 ft, we can substitute that value into the equation to get A = 126/27 ft^3/1/3 ft = 9 ft^2. Therefore, the area of the base of the bin is 9 ft^2.

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Answer this pls I really need it

Answers

Answer:

x = - 6

y = - 2

Step-by-step explanation:

Given,

y = - 2

To find : x = ?

1x - 5y = 4

x - 5 ( - 2 ) = 4

x + 10 = 4

x = 4 - 10

x = - 6

What is associative property in math?

Answers

Answer:

This law simply states that with addition and multiplication of numbers, you can change the grouping of the numbers in the problem and it will not affect the answer. Subtraction and division are NOT associative.

Step-by-step explanation:

hello! pls help if you can, it will very much be appreciated T-T

Answers

Is it the area or volume you are looking for

Answer:

download algemator then you can find the answer

How would I be able to get the step by step prosses of this and the answer of y?
(-7) = (-4y) + 5

Answers

Answer:

y = 3

Step-by-step explanation:

-7 = -4y + 5

Subtract 5 from both sides to isolate variable y:

-7 - 5 = -4y + 5 - 5

-12 = -4y + 0

-12 = -4y

Divide both sides by -4 to isolate variable y:

-12 ÷ -4 = -4y ÷ -4

(Negative ÷ Negative = Positive)

3 = 1y

3 = y

Check your work:

-7 = -4(3) + 5

Use PEMDAS:

-7 = -12 + 5

-7 = -7

Correct!

Points if listen to kpop and watch anime:
My favorite are Captain levi and stray kids.

Answers

Step-by-step explanation:

i dont watch anime for shi and fav group Blackpink ;)

Answer: What is you’re favorite anime show?

Step-by-step explanation:

A cabinet door is 19 inches tall and 5 inches wide.

What is its area?

Answers

Answer:

95

Step-by-step explanation:

19 x 5 = 95

Solve the given differential equation. 3x^2y'' + 6xy' + y = 0

Answers

The solution for given differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)

This is a second-order linear differential equation with constant coefficients. To solve this equation, we can use the method of an auxiliary equation, which is 3r^2 + 6r + 1 = 0. This equation has two complex conjugate roots, r = -3 ± i√3. Therefore, the solution of the differential equation is y = c1e^(-x^3/3) + c2xe^(-x^3/3)cos(√3x^2/2) + c3xe^(-x^3/3)sin(√3x^2/2), where c1, c2, and c3 are arbitrary constants.

The method of an auxiliary equation is a popular way to solve second-order linear differential equations with constant coefficients. It involves finding the roots of an auxiliary equation, which is found by setting the coefficient of the second derivative equal to zero.

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Help, I don’t get the first part but understand the second

Answers

Answer:

fr ee points cuz there was nothing attached

Step-by-step explanation:

Step-by-step explanation:

Help, I don’t get the first part but understand the second

I am always there to help you

ask your question

hope it is helpful to you

Problem Solving Quick Check

A recipe for macaroni and cheese takes 3 tablespoons of milk and 2 tablespoons of butter Simon is going to make 5 batches of the macaroni and cheese for a family dinner how many cups of milk are

required? tpoint)

os

o

Answers

0.94 cups of milk is required for 5 batches of the macaroni and cheese.

Given that the recipe for macaroni and cheese takes:

3 tablespoons of milk

and 2 tablespoons of butter

To find: the number of cups of milk required

Let m be the number of cups of milk is required to make 5 batches of the macaroni and cheese.

a batch of the macaroni and cheese require 3 tablespoons of milk .

So by unitary method for 5 batches of the macaroni and cheese,

(5 × 3) = 15 tablespoons of milk is required.

We know that 1 US Cup = 16 US tablespoons

So by unitary method,

m = 15/16 cups of milk

m = 0.94 cups of milk

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(i) change 234mm into m
(ii) change 876m^2 into square cm

Answers

Answer: (i) 0.234m

(ii) 8760000cm^2

Step-by-step explanation:

234÷1000=0.2234m

876x10^4=8760000cm^

What does log2 mean on a calculator?

Answers

The log base 2 calculator quickly computes the value of the logarithm function with base two, i.e., log₂(x) for arbitrary (positive) x

What do we mean by an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

Therefore, the given expression log₅32 is equivalent to the expression log32/log5.

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Some epidemiologists are planning a second study to evaluate the PSA screening test. The only difference is that this time, the men from Reno who they randomly sample will be 44-59 years of age. Age is a strong risk factor for prostate cancer. The prevalence of prostate cancer in men 44-59 years of age will be much lower than the prevalence of prostate cancer in men 60-75 years of age. How do you expect the results of the second study will compare with the results from the study conducted among 60-75 year old men

Answers

Answer:

The second test result will be lower and more sensitive to changes than the first test result and it will better test the efficacy of the PSA screening test

Step-by-step explanation:

The evaluation the epidemiologist are planning = Prostrate Specific Antigen, PSA, screening test

The given difference between the first and second study = The age range of the study group

The age range of the first study = 60 to 75 years

The age range of the second study = 44 to 59

The prevalence of prostrate cancer in men 44 to 59 years of age < The prevalence of prostrate cancer in men 60 to 75 years of age

Therefore, due to the low prevalence, the result of the second test will be more sensitive than the result of the first test.

Homework please help

Answers

Answer:

b. one solution

Step-by-step explanation:

hope this helps :)

Answer:

B. One solution

Step-by-step explanation:

Hope this helps!!

Find the measure of ∠d. PLEASE HELP

Answers

Answer:

107

Step-by-step explanation:

3x + 16 + 5x - 4 = 180 (Being linear pair)

8x + 12 = 180

8x = 180 - 12

8x = 168

x = 21

3x + 16 = 3 * 21 + 16 = 79

< C = 79 ( being corresponding angles)

< d + < c = 180 ( being linear pair)

< d = 180 - 79

< d = 107

Hope it will Help :)❤

sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Answers

The number of books that Sofia read is 32 books and the brother read 8 books.

How to calculate the number of books read?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Let the number of books read by the brother = x

Number of books read by Sofia = 4x

Therefore, x + 4x = 40

5x = 40.

Divide

x = 40 / 5

x = 8

The brother read 8 books

Sofia read = 4x

= 4 × 8

= 32 books.

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A 2 3/4inch candle burns down in 11 hours. At what rate does the candle A burn, in inches per hour?

Answers

Answer:

0.25 in/h

Step-by-step explanation:

1. change 2 3/4 t0 2.75

2. 2.75/11= 0.25

Homework Progress
28/37 Marks
a) Complete the prime factor trees for 16 and 40:
16
b)
2
2

2
4
2
2
40
2
What is the lowest Common Multiple of 16 and 40?
2
1
5

Answers

The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .

What is prime factor ?

prime factor can be defined as the number which is divisible by that number and the number should be prime.

The prime factor tree for 16 as follows

16 = 2*8 = 2* 2 * 4 = 2*2*2*2

                16

            2         8

                     2    4

                         2     2

The prime factor tree for 40 as follows

40 = 2*20 = 2*2*10 = 2*2*2*5

                40

           2            20

                      2        10

                              2      5

Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .

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A certain United States flag has a perimeter of 58 feet. The length of the flag is 9 feet longer

than the width. What are the dimensions of the flag?

Answers

The dimensions of the flag are:

length = 19 feet and width = 10 feet

Let 'l' be the length of the flag and 'w' be the width of the flag.

The length of the flag is 9 feet longer than the width.

So, we get an equation

l = 9 + w                ............(1)

The flag has a perimeter of 58 feet.

We know that the formula for the perimeter of rectangle:

P = 2(l + w)             ..............(2)

Here, P = 58 feet

Substitute the value of P in equation (2)

58 = 2(l + w)                

29 = (9 + w) + w                      ..........(from (1))

29 - 9 = 2w

2w = 20

w = 10

Substitute this value in equation (1),

l = 9 + 10

l = 19 feet

Therefore, length = 19 ft and width = 10 ft

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Find the volume of the composite figure below round your answer to the nearest whole number

Answers

Answer:

1017in^3

Step-by-step explanation:

Charles and Paul each have a computer repair business.
Charles charges a diagnostic fee of around 60$ plus 12$ per hour spent on computer repairs.
Y= 12x+60
Paul charges a diagnostic fee of 40$ plus 16$ per hour spent on computer repairs.
The situation is graphed in the picture
Y= 16x+40

*Which statement BEST describes the system of equations?

A. For repairs requiring 2 hours of work, the total amount charged by Charles will be 72$ and the total amount charged by Paul will be 84$

B. For repairs requiring 8 hours of work, the total amount charged by Charles will be 168$ and the total amount charged by Paul will be 156$

C. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 100$

D. For repairs requiring 5 hours of work, the total amount charged by both Charles and Paul will be 120$

(This is just too much to look at for me so If anyone can figure it out I greatly appreciate it)

Answers

For repairs that take five hours to complete, Charles and Paul will each charge a total of $120.

What is the graph's equation?

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept. The slope is the ratio of the y-to-x change.

What are the three techniques for graphing equations?

For charting linear functions, there are three fundamental techniques. The first method involves tracing a line through a set of points that have been plotted. The second method makes use of the slope and y-intercept. Applying transformations to the identity function f(x)=x f(x) = x is the third step.

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There are 6 times as many females as males on the maths course at university. What fraction
of the course are female?
Give your answer in its simplest form.

Answers

Answer:

i hope it helps

thank you

What is the domain of exponential function f/x )= BX?

Answers

The domain of an exponential function is all real numbers. In the interval notation is (-∞, ∞).

What is interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 ≤ x ≤ 1 .

Given exponential function is f(x) = B^x.

A function with an exponent as the independent variable is called an exponential function. The general form of an exponential function is y = f (x) = B^x, where B > 0 and a > 1, and x is any real number. The function is undefined for -1 < x < 1 if an is negative, which is why a > 0 is true. The function can have a domain that includes all real numbers by limiting a to positive values.

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PLZ HELP ASAP!!

I got the quadrant part I just need help with 0ther parts​

Answers

Answer:

Step-by-step explanation:

The X intercept is 1 and the y-intercept is 1 aswell.

Answer:

x intercept: 1

y intercept: 1

Step-by-step explanation:

also, where u wrote quad: IIII, four in roman numerals in IV not IIII

Daria chooses a paint color from 5 shades of blue, 2 shades of yellow, and 2 shades of purple to paint her room. She can choose either carpet or wood flooring. If each choice is equally likely, how much greater is the probability of her choosing a shade of blue and carpet than the probability of choosing a shade of yellow and wood flooring?


Answers

The probability of choosing  a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.

The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades

The total number of flooring options Daria can choose from is carpet or wood = 2 options

The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.

The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18

The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.

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From the top of a lighthouse, the angles of depression to the top and bottom of a flagpole are 23° and 42°, respectively. If the flagpole is 75 feet from the lighthouse, how tall is the pole? [Round your answer to the nearest tenth of a foot. Type in the number only.]

Answers

Back with the braids.

PLEASE HELP IF YOU KNOW ALGEBRA AND SPANISH

Answers

I don't know Spanish but I'm reasonably sure I know what the questions are asking. Please correct me if I'm wrong.

a. f(2) = -2^2+4(2)-10 = -4+8-10 = -6.

b. g(6) = 5(6)+1 = 30+1 = 31.

c. f(-1) = -(-1)^2+4(-1)-10 = -1-4-10 = -15.

d. This is saying to solve g(x)=16:

5x+1=16Subtract 1 from each side: 5x=15Divide both sides by 5: x=3.

The answer is x=3.

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