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Rainbow [258]
2 years ago
10

Two people are standing in a field. One person is flying a kite with a string that is

Mathematics
1 answer:
Anastaziya [24]2 years ago
6 0
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Can I please get some help on this...I have tried to many times...
Bezzdna [24]

Answer: A

Step-by-step explanation:

First, the problem is g(f(x)). You would plug in f(x) wherever you see an x in g(x). To find the domain, you take the bottom function, and set it equal to 0.

\sqrt{x-2} =0

When you solve that, you get x=2. You know your domain is x≥2, but there is as asymptote at x=11. That means the graph never reaches x=11, but gets very close. You find that by setting the entire equation equal to 0 and solve from there.

5 0
3 years ago
The graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?
Roman55 [17]

The only true statement that compares the two functions is:

B: The solution to f(x)=g(x) is 1

<h3>Which statements are correct?</h3>

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

|x - 3| + 1 = 2x + 1

|x - 3| = 2x

Notice that we have two options, x = 3:

|3 - 3| = 2*3

0 = 6  (x = 3 is not a solution)

And x = 1:

|1 - 3| = 2*1

2 = 2  (x = 1 is a solution).

Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

8 0
2 years ago
Graph the following piecewise function.
atroni [7]

Answer:

The graph of this piece-wise function is attached below.

Step-by-step explanation:

Given the function

{\displaystyle f(x)={\begin{cases}x^{2} +2&{\text{if }}-5\leq x

  • A piece-wise function is a function which has multiple pieces.
  • Each of the pieces have their own restrictions.
  • The domain of a function is the set of input, or x, values for which the function is defined.
  • The range is the set of all values taken by the function

As the piece

f(x)=x^{2} +2 has the domain [-5, 3) and graph of this piece is attached below.

and

f(x)=x-4 has the domain [3, 7) and graph of this piece is attached below.

So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval \:\left[-1,\:27\right].

i.e.

Domain: [-5, 3) U [3, 7)

Range: \:\left[-1,\:27\right]

The graph of this piece-wise function is attached below.

<em>Keywords: piece-wise function, domain, range</em>

<em>Learn more about piece-wise function from brainly.com/question/12687437</em>

<em>#learnwithBrainly</em>

3 0
3 years ago
6. a- 45/8= 2 6/7.. what does a =​
frozen [14]

Answer:

-2.76785714286

Step-by-step explanation:

I think that a equals to -2.7678571428

Anyways heyy!!!:)

8 0
3 years ago
If anyone could help out with this one i would really appreciate it <br><br> f(2)=?
algol13

Answer:

f(2) = 0

Step-by-step explanation:

Function f(t) is defined in three different ways depending on the value of t.

For t = 8, function f(t) is -64/t.

For t = 10, function f(t) is 14 - t.

We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.

f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.

f(2) = 2^2 - 3(2) + 2

f(2) = 4 - 6 + 2

f(2) = 0

6 0
3 years ago
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