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2 years ago

Help ASAP! question in pic! will give brainliest!

Mathematics

1 answer:

serious [3.7K]2 years ago

8 0

I think it’s 2
Hope that helped sorry if it’s wrong

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2/3+q=1/2 what is Q

JulsSmile [24]

Q=rational number=1/6

2/3+q=1/2=1/6

4 0

2 years ago

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

2 years ago

a student usually saves $45 a month. He would like to reach a goal of saving $700 in 12 months. The student writes the equation

serg [7]

Answer:

in this case, x is the amount more he needs to save per month

350=12(x+20)

distribute

350=12x+240

minus 240 both sides

110=12x

divide both sides by 12

9.166666=x

needs to save about $9.17 more per month or 29.17 permonth

Step-by-step explanation:

sorry if its wrong i tried and maybe i could get brainliest?

3 0

2 years ago

Read 2 more answers

Does 4/8 +7/8=11/16 or 11/8

ss7ja [257]

That's easy it is 11/8 because 4+7=11 8 will be the same

5 0

2 years ago

Read 2 more answers

Sophie has 3/4 quart of lemonade. if she divides the lemonade into glasses that hold 1/16 quart, how many glasses can Sophie fil

Studentka2010 [4]

I think 4 glasses because 3/4 divided by 1/16 is 48/4 because you flip the second fraction and multiply after u simplify

7 0

2 years ago