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maks197457 [2]
2 years ago
12

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a​ real-world situati

on? Explain.

Mathematics
1 answer:
mina [271]2 years ago
5 0

Using the function concept, it is found that:

  • Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, <u>one value of the input can be related to only one value of the output</u>.

  • In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, <u>for each value of x, there is only one value of y</u>, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at brainly.com/question/12463448

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a traveler has 7 pieces of luggage . how many ways can the traveler select 3 pieces of luggage for a trip
7nadin3 [17]
Well, you could assign a letter to each piece of luggage like so...

A, B, C, D, E, F, G

What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.

My answer and workings are below...

35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.

210 arrangements (35 x 6) when order is taken into consideration.

*There are 6 ways to configure 3 letters.

Alternative way to solve the problem...

Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.

7 0
3 years ago
a triangle includes one angle that measures 72 degrees. which pair could be the measures of the other two angles of the triangle
Otrada [13]

Answer:

72,72,36

Step-by-step explanation:

7 0
4 years ago
Given f (x ) = x^2 + 3x + 2 and g (x ) = x + 1, perform the indicated operations.
Nana76 [90]

Answer:

(i) (f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = x³ + 4·x² + 5·x + 2

Step-by-step explanation:

The given functions are;

f(x) = x² + 3·x + 2

g(x) = x + 1

(i) (f - g)(x) = f(x) - g(x)

∴ (f - g)(x) = x² + 3·x + 2 - (x + 1) = x² + 3·x + 2 - x - 1 = x² + 2·x + 1

(f - g)(x) = x² + 2·x + 1

(ii) (f + g)(x) = f(x) + g(x)

∴ (f + g)(x) = x² + 3·x + 2 + (x + 1) = x² + 3·x + 2 + x + 1 = x² + 4·x + 3

(f + g)(x) = x² + 4·x + 3

(iii) (f·g)(x) = f(x) × g(x)

∴ (f·g)(x) = (x² + 3·x + 2) × (x + 1) = x³ + 3·x² + 2·x + x² + 3·x + 2 = x³ + 4·x² + 5·x + 2

(f·g)(x) = x³ + 4·x² + 5·x + 2

7 0
3 years ago
If parker uses online banking and average 20 transactions a month, which bank should he choose
taurus [48]
Each month that will give them 20$ for
7 0
3 years ago
Choose all equivalent expression(s).
ElenaW [278]

<u>Given</u>:

The given expression is a b^{-3 x}

We need to determine the equivalent expression.

<u>Equivalent expression:</u>

Let us determine the equivalent expression.

The equivalent expression can be determined by simplifying the given expression.

Hence, let us apply the exponent rule to simplify the given expression.

Thus, applying the exponent rule, a^{-b}=\frac{1}{a^{b}}, we get;

a(\frac{1}{b^{3x}})

Rewriting the expression, we get;

a(\frac{1^{3x}}{b^{3x}})

Simplifying, we get;

a\left(\frac{1}{b}\right)^{3 x}

Thus, the equivalent expression is a\left(\frac{1}{b}\right)^{3 x}

Hence, Option C is the correct answer.

7 0
3 years ago
Read 2 more answers
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