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3 years ago

PLEASE HELP! I NEED THIS

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

6 0

Answer:

x² + x - 30

Step-by-step explanation:

Given

(x - 5)(x + 6)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 6) - 5(x + 6) ← distribute both parenthesis

x² + 6x - 5x - 30 ← collect like terms

= x² + x - 30

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DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

3 years ago

What shape will you get if you put 3 diamonds together

8_murik_8 [283]

I think just a trapezoid no others

Hope I helped, Good luck

= )

4 0

3 years ago

Read 2 more answers

Which point, (5/2, 3) or (3/2, 20), is on the graph of 2x - 2/3y =3?<br><br> show steps pls!

Anna11 [10]

You should try both points
put x=5/2 and y=3
5-2=3
the first one is on the graph
put x=3/2 and y=20
3-40/3≠3
the second one is not on the graph

4 0

3 years ago

What is the LCM of 70 and 36?

Alik [6]

LCM = 1260

The lowest common factor is 1260

Hope this helps! :)

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3 years ago

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Find the decimal equivalent of ¾ ounce to the thousandths place

GalinKa [24]

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

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2 years ago