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Mamont248 [21]
2 years ago
9

Which of the following statements about Triangle ABC are correct?

Mathematics
1 answer:
irina [24]2 years ago
7 0

Answer:

A

Step-by-step explanation:

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For the graphed function f(x) = -(5)* - 3 + 2, calculate the average rate of change from x = 3 to x = 4.
Ilia_Sergeevich [38]

Answer:

-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is \frac{f(b)-f(a)}{b-a}

The given function is f(x)=-5^{x-3}+2.

f(4)=-5^{4-3}+2=-3.

f(4)=-5^{3-3}+2=1.

The average rate of change from x=3 to x=4 is given by:

\frac{f(4)-f(3)}{4-3}

\frac{-3-1}{4-3}=-4

7 0
3 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

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. 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
Evaluate 2^−4/4^0. Write your answer as a fraction in simplest form.<br> Can you help me pls?
tia_tia [17]

Answer:

1/16 or 0.0625

Step-by-step explanation:

5 0
2 years ago
The bar diagram represents 24 hours in one day and shows a mark at 30%. If you sleep 30% of the day, how many hours do you sleep
yan [13]

Answer:

24 hr × 30% = 24 hr × 0.30 = 7.2 hr (or 7 hr 12 min)

6 0
3 years ago
Read 2 more answers
Can someone tell me what side b is? Thank youuu
aliina [53]

Answer:

Hey there!

We can use sine B= b/c.

Plugging in the values, we have sine 69= b/60

b=56.01

Hope this helps :)

5 0
2 years ago
Read 2 more answers
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