Please help me....I really need help!!Which expression is equal to $(cx^(2)-4 )/(6c^(4)+15c^(3) )$ ÷ $(c^(2) +4c+4)/(12c^(3)+30c^(2) )$ ?

A. $(2(c-2) )/(c(c-2))$
B. $(2(c-2))/(c(c-2))$
C. $(c(c+2))/(2(c+2))$

Answers

Answer 1

Answer:

$(c^2-4)/(6c^4+15c^3)/(c^2+4c+4)/(12c^3+30c^2)=(c^2-2^2)/(3c^3(2c+5))/(c^2+2(c)(2)+2^2)/(6c^2(2c+5))\n\n_{\text{use}\ a^2-b^2=(a-b)(a+b)\ \text{and}\ (a+b)^2=a^2+2ab+b^2}\n\n=((c-2)(c+2))/(3c^3(2c+5))\cdot(6c^2(2c+5))/((c+2)^2)=((c-2))/(c)\cdot(2)/((c+2))=\boxed{(2(c-2))/(c(c+2))}$

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Which of the following best describes a consumer? someone who studies economics
a person who buys goods and services
a business owner who sells clothes
a farmer who sells his crops

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have ask that

Consumer refers to those person who used to consume things like purchase goods and services for personal use.

Someone who studies economics are known as economists they are not consumers, they are known for their study of economics.

A business owner who sells clothes can be known as traders or merchants or business man but they do not consider as consumers as they don't buy goods and services but they provide all of these.

A farmer who sells his crops are known as producers instead of consumers.

So, Second option is correct.

A person who buys good and services is known as consumer.

a person who buys goods and services. Think of it this way: To consume means to eat or use something. A consumer is someone who buys things to eat or use.

explain why the sine of x is the sample regardless of which triangle is used to find it in the figure

Answers

Sine of x is used when to find the side of the triangle that does not have any right angle or is not a right triangle. This is according to the Law of Sines, which states that the sides of the triangle are to one another in the ratio as the sines of their opposite angles.

A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cost to carpet the room and closet..

Answers

First of all, I must assume that the correct cost for carpet is $4.25 per square foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = $1,028.50 plus pad and installation.
=========================================
You know what ? I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's awfully expensive carpet.
I suspect the actual price is $4.25 per square yard. That's pretty cheap, but
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !)

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = $114.75 plus pad and installation. That sounds cheap but better.

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.

Answers

x - the number of 5 points worth problems
y - the number of 2 points worth problems

The test has 29 problems.
$x+y=29$

The test is worth 100 points.
$5x+2y=100$

The system of equations:
$x+y=29 \n5x+2y=100$

The solution:
$x+y=29 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* (-2) \n5x+2y=100 \n \n-2x-2y=-58 \n\underline{5x+2y=100 \ \ \ \ \ } \n3x=42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \nx=14 \n \nx+y=29 \n14+y=29 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |-14 \ny=15$

There are 14 problems worth 5 points and 15 problems worth 2 points.

Final answer:

The system of equations to find the number of 5-point and 2-point problems on the math test is x + y = 29 and 5x + 2y = 100, where x and y are the numbers of 5-point and 2-point problems respectively.

Explanation:

The question posed involves setting up a system of equations to determine how many of each type of problem are on a math test. There are two types of problems: those worth 5 points and those worth 2 points, with the test having a total of 29 problems and worth 100 points in all. To solve this, we can define two variables, let's say x represents the number of problems worth 5 points and y represents the number of problems worth 2 points.

We can set up the following system of equations:

x + y = 29 (This represents the total number of problems.)
5x + 2y = 100 (This represents the total points for the test.)

Solving this system will give the number of 5-point problems and 2-point problems on the test.

Learn more about System of Equations here:

brainly.com/question/21620502

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What is the answer to 4(x + -7) +12=20

Answers

    4(x - 7) + 12 = 20
4(x) - 4(7) + 12 = 20
   4x - 28 + 12 = 20
   4x - 16 = 20
   + 16 + 16
   4x = 36
      4 4
   x = 9

X=9You ise the distribution property and get 4x-28+12=20. Combine the like terms amd you get 4x -16=20. Add 166 to both sides and you get 4x =36. Divide by four and you get x=9

What is the solution to the system of equations? y = 1/2x-6 and x=-4