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Solve equation. Round to nearest hundredth if neccessary. 11xsquared+3=5(4xsquared-3)

Solution:

The equation you gave us:
Can be re-written =s: or or
The Solution is:
This can also be written in an approximate decimal form: +1.41 and -1.41

I need help with solving systems by graphing. this is one of the problems y=5x-2 y=x+6

Solution:

First write down the two equations and then pick several values of x and use those values to calculate the corresponding values of y. You can use the x,y pairs to then plot each line. You will see that the two lines intersect at 2,8 =i.e. x=2 and y=8).

Find the domain of the function. f(x)= 2x^2+5x+3/2x^2-5x-3

Solution:

First, let’s plot f(x) =

Here’s what the graph looks like:

Now, the definition of “domain of a function” as follows: The domain of a given function is the set of “input” values for which the function is defined.” For instance, the domain of cosine would be all real numbers, while the domain of the square root would be only numbers greater than or equal to 0 (ignoring complex numbers in both bases).

As you can see from the above graph, the function is valid for all “real” values of x, except for 0. The set of “real numbers”, as you may know, can be thought of as points on an infinitely long number line. The shorthand way of saying “all real numbers except for x” is as follows:

How do you make a T chart for the problem y=2x^2+4x-5

Solution:

First, you have to have a clear idea what y = 2x^2+4x-5 means. This is an equation that tells you that, for any value of x, you can find y by dividing by multiplying x by x, and then multiplying that by two, adding 2 times x and finally subtracting 5. Does that sound familiar?

Now, what is the table you have to make? You will list several values of x (which you will be using as x-coordinates in your graph), and for each one use the equation to find what y is. We’ll show the work:

For x = 1, y = 2*1*1 + 4*1 – 5 = 1

For x = 2, y = 2*2*2 + 4*2 – 5 = 11

For x = 3, y = 2*3*3 + 4*3 – 5 = 25

For x = 4, y = 2*4*4 + 4*4 – 5 = 43

For x = 5, y = 2*5*5 + 4*5 – 5 = 65

Do you … read more

The total area of a cylinder is 40. If height = 8, find the radius. (The formula for total area used in class is: Total area = 2πrh + 2πr²)

Solution:

The total area is 40π=2πrh+2πr^2
=2πr*8 + 2πr²
=16πr + 2πr²
=16r + 2r²

If we rearrange the terms and divide the terms by 2 (in order to simplify the equation), we get:

r² + 8r – 20 = 0

(r+10) (r-2) = 0

r = 2 or -10

Therefore, r = 2 (assuming that -10 is not an option!).… read more

I need to know how to do problems like this, I want to know how to solve, and simplify them, and also finding slopes. Like these kinds of problems(Write the equation, 3x + 5y = 15, in the slope intercept form (y = mx + b))

Solution:

Start with an equation like 3x + 5y = 15
Move 3x to the other side, so 5y = 15 – 3x
Divide both sides by 5, so y = 3 – x
Another way of writing this is y = -.6x + 3, or y=mx = b, where m=-0.6 and b = 3
If m = -0.6, that means that the slope = -0.6

If i was just given the container specification which is the shape of base is triangle, the height of box 40 in and the volume 720 cu in. the question is what dimensions were necessary for you to deteremine before you could build your box. How did you find the missing dimensions?

Solution:

Let’s assume that the sides of the box are vertical. In that case, the volume of the container would be the area of the base times the height. Since we know the volume is 720 cu. in., and the height is 40 =n, then we know that the area of the base is 18 sq. in. = 18*40=720).

We don’t have enough information to find the lengths of the sides of the container’s triangular base. There are many shapes of triangles whose area is equal to 18 sq. inches. We would need to know the lengths of at least two sides of the base of the container, plus the angle formed by these two sides. We can then use the cosine rule (see below) to figure out the required length of the third side.

The “cosine rule”

In the triangle below, the three sides have lengths a, b and c. Angle A is opposite side a; similarly for B and C.

The cosine rule … read more

How do you find the area of a base on a 3-D rectangle?

Solution:

The base of the 3D rectangle is in the shape of a 2D rectangle.
Multiply the length of this 2D rectangle by its width to let the area

What is the cardinality of the following set. P(S) stands for power set. Find p (p ((S) for S = {a, b}

Solution:

1.   The cardinality of a set is a measure of the “number of elements of the set”. For example, the set A = {2, 4, 6} contains = elements, and therefore A has a cardinality of 3.
2.   Given a set S, the power set of S, written , P(S), is the set of all subsets of S, including the empty set and S itself.
3.   If S={a, b}, then P(S) ={{},{a},{b},{a,b}} and the Cardinality of P(S) is 4.… read more

You are developing new bath soap, and you hire a public opinion survey group to do some market research for you. The group claims that in its survey of 450 consumers, the following were named as important factors in purchasing bath soap: Odor 425 Lathering Case 397 Natural Ingredients 340 Odor and lathering Case 284 Odor and Natural Ingredients 315 Lathering ease and natural ingredients 219 All three factors 147 should you have confidence in these results? Why or why not?

Solution:

First, take a look at this link to understand the Principle of Inclusion and Exclusion:

http://en.wikipedia.org/wiki/Inclusion%E2%80%93exclusion_principle

Next, make a list of all the subsets:

How do you find the derivative to the function d(x)= 3x^2 e^x + 2xe^2 + 3e^x ?

Solution:

A farmer has enough space in his farm to rear 200 birds. He buys chickens at $1 each and ducklings at $2 each. He cannot spend more than $250 for purchasing the birds. What are the possible numbers of birds he can purchase?

Solution:

Here’s how you solve this type of question:

Assume that the maximum number of birds he can purchase’s 200, since he does not have space for more than that. Of course, he could purchase more and then release them into the wild, but we don’t think that’s what your teacher has in mind!
One option is to buy no birds at all, and keep the $250.
Since chickens cost only $1 each, he could buy 200 chickens and have $50 left over.
Or he could buy 125 ducklings and have no money left over.
So there are lots of possibilities. The general formula would be given by c + 2d 250 and c + d 200, where c is the number of chickens and d is the number of ducklings. Since we are dealing with a real world situation, we can also assume that c and d are non-negative integers. The solution space would look like this:

The above chart shows all the … read more

A cheese shop carries a large stock of 34 kinds of cheese. By the end of the day, 48 cheese sales have been made, and the items sold must be restocked. How many different restocking orders are Possible?

Solution:

48 cheese sales have been made
The first sale could have been one of 34 different types of cheese
The second sale could also have been one of 34 different types of cheese etc.
The 48^th sale could also have been one of 34 different types of cheese
Each sale is independent of every other sale, so each event increases the number of possible restocking orders by a factor of 34
Therefore, the number of possible restocking orders = 34⁴⁸

Factor the following expression: x^2-9

Solution:

First recognize that this is in the form of (x²-a²), which can always be factored as (x+a)(x-a). If you multiply these two terms, you get x²-ax+ax-a², which is equal to x²-a².

So in this case, we can see that a=3,

so x²-9

= x²-3²

= (x+3)(x-3)… read more

How do I rewrite an equation using function rotation?

Solution:

A function is a type of relation, i.e. it relates one set of numbers to another. The function (call it “f”) takes any member of one set (call it “x”) and connects it to a unique member of another set. Symbolically, we write this unique member of the other set as f(x). You can say “f of x” when you see this rotation.

Now, we can write the function as a rule or equation. For example, f(x) = 2x. In this example, each value of x as assigned double its value by the function f.… read more

Simplify : 12 – ( x + 3 ) +10

Solution:

You can simply 12 – ( x + 3 ) +10 by rearranging the terms:

12 –x -3 +10
19-x

I need to know how to do problems like this, I Want to know how to solve, and simplify them, and also finding slopes. Like these kinds of problems (Write the equation, 3x + 5y = 15, in the slope intercept form (y = mx + b))

Here’s how you solve this type of question:

Start with an equation like 3x + 5y = 15
Move 3x to the other side, so 5y = 15 – 3x
Divide both sides by 5, so y = 3 – x
Another way of writing this is y = -.6x + 3, or y=mx = b, where m=-0.6 and b = 3
If m = -0.6, that means that the slope =-0.6

If 2(x-5)=-11, then x=?

Solution:

2(x – 5) = -11
2x – 10 = -11
2x = -1
x = -0.5

Determine the next two values in the following pattern of numbers: 1, 4, 9, 61, 52, 63, 94, _, _ .

Solution:

This is a well known “trick question”. It’s simply a series of squares with the digits reversed:

1² = 1 => 1

2² = 4 => 4

3² = 9 => 9

4² = 16 => 61

5² = 25 => 52

6² = 36 => 63

7² = 49 => 94

8² = 64 => 46

9² = 81 => 18… read more

How do you find the area of a base on a 3-D rectangle?

Here’s how you solve this type of question:

The base of the 3D rectangle is in the shape of a 2D rectangle.
Multiply the length of this 2D rectangle by its width to let the area

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Topics under "math online help/feed/rss2/get-started.html"

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The “cosine rule”

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