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3 years ago

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21 22 23 24 25 Which equation represents an exponential function with an initial value of 500? Of(x) = 1

00(5)
Of(x) = 100(X)
O f(x) = 500(2)
O f(x) = 500(x)2

1 answer:

Dafna11 [192]3 years ago

6 0

Answer:

Of(x) =100(5) I think cause its gonna equal 500

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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

Help with inequalities

max2010maxim [7]

Answer:

$2(b - 9) \geqslant 26$

Step-by-step explanation:

difference of a number and 9 means to subtract

$b - 9$

twice that means multiply by 2

$2(b - 9)$

at least is greater than or equal to

$2(b - 9) \geqslant 26$

8 0

3 years ago

Please help!!!!!!!!!!!!!!!!!!!!

Valentin [98]

Answer:

I am not sure but think that the answer is 1/20

7 0

3 years ago

Read 2 more answers

Can someone help me with at least one problem and tell me how you got the answer

Vesna [10]

S=16t^2
if t=3
So you would plug it in
16(3)^2
Then you multipy
16*3^2
=144
It is easier if you use a calculator just type in ti 30 calculator online that should help

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Identify the equation in slope-intercept form for the line that has the given slope and contains the given point.

Kisachek [45]

The answer I got was y=-12x+43.

Hope this helps!

5 0

3 years ago