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Charra [1.4K]
3 years ago
7

PLEASE HELP ME WITH THIS MATH QUESTION ASAP!!

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

f(x) = 2x+3

g(x) = 1/x^2

Step-by-step explanation:

There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.

When the given expression is evaluated, you ...

• square the variable

• divide 2 by the result

• add 3 to that result

It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.

In our selection of f() and g() above, we have chosen to make g(x) be ...

• square the variable

• find the reciprocal of that result

and we have defined f(x) to be

• multiply that result by 2

• add 3.

__

You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.

_____

Our f(x) and g(x) are ...

g(x) = 1/x^2

f(x) = 2x +3

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Who can answer this<br> (WITH AN EXPLANATION)<br> will mark brainlest
stepan [7]

Answer:

Factors: (x²y+6)(y²-11)

<h2 />

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!

8 0
3 years ago
Find the length of dm in the given fig.​
lesya692 [45]

Answer:

DM=12

Step-by-step explanation:

(Let the point where the altitude from D intersects AB be called as point E.) First, let's find the area of parallelogram ABCD. The area of a parallelogram is simply b*h=bh, where b is the parallelogram's base and h is the parallelogram's height. If we let AB and DE be the base and height respectively, since we are already given their lengths, we know that the area of parallelogram ABCD will be AB*DE=15*8=120.

Now, how does this information matter, you might ask? Well, we can take either AB <em>or </em>CB to be the base and either DE or DM to be the height. In this case, let's take the latter two options, as we are looking to find the length of DM.

Therefore, we know that the area of parallelogram ABCD can also be found by calculating CB*DM. Since we know the values of the area and CB, we can write the following equation to solve for DM:

Area = CB*DM

120=10*DM (Substitute Area=120 and CB=10 into the equation)

\frac{120}{10}=\frac{10*DM}{10} (Divide both sides of the equation by 10 to get rid of DM's coefficient)

12=DM (Simplify)

DM=12 (Symmetric Property of Equality)

Hope this helps!

4 0
3 years ago
Value of x after the statement "if P(x) then x 1" is executed where P(x): &gt; 1
ziro4ka [17]

The values of x after the statement are:

  • b) If x=1, then the statement P(1)="1>1" is false, and thus the value of x is equal to 1 after the statement "P(x) then x := 1".
  • c) If x=2, then the statement P(2)="2>1" is true, and thus the value of x is equal to 1 after the statement "if P(x) then x := 1".

<h3>What is Discrete Mathematics?</h3>

This refers to the field of mathematics that studies mathematical structures and views them as discrete, rather than continuous and they include integers, statements, etc.

Therefore, if we consider the statement "if P(x) then x:=1" which is equivalent to "if x>1 then x:=1", then we can see that If x=1, then the statement P(1)="1>1" is false

Read more about discrete mathematics here:

brainly.com/question/27793609

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Which set of data represents a linear function?
AVprozaik [17]
The answer is d because the x value does not repeat. Hopes this helps.
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<h3> zor bir soru cevap Ceyhan</h3>

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