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3241004551
3 months ago
10

Which of the following functions is graphed below?

Mathematics
1 answer:
Svet_ta [12.7K]3 months ago
8 0

Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; please refer to the attached document for the full details.

In the attached graph,

The parent function is defined as an absolute value function,

f(x) = |x|

When this graph is moved four units to the left, the translation rule becomes,

f(x) → f(x + 4)

Consequently, the new function following this translation is,

g(x) = f(x + 4) = |x + 4|

Now, with the graph shifted down by two units, the translated function becomes,

h(x) = g(x) - 2

h(x) = |x + 4| - 2

When reformulated as an equation, the graph can be represented by

⇒ y = |x + 4| - 2

Thus, Option (B) is the correct answer.

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The tiles that Bruce used were each of a square foot in the area. The table shows the area covered by Felicia’s tiles in terms o
zzz [12365]

Response:

Step-by-step explanation:

We need to form an equation that illustrates the area that Felicia has covered, denoted as y, in relation to the number of tiles she utilized, represented by x.

Let x= Number of tiles

y=Area occupied by Felicia's tiles

x_1=9, x_2=18, x_3=27

y_1=1, y_2=2,y_3=3

\frac{x_1}{y_1}=\frac{9}{1}=9

\frac{x_2}{y_2}=\frac{18}{2}=9

\frac{x_3}{y_3}=\frac{27}{3}=9

The relationship between x and y is constant. Hence, it follows a direct proportion.

The equation for direct proportion is shown as

\frac{x}{y}=k

Where

k=The value of the ratio of x and y

x and y are variable factors

Here, we have k=9

Substituting the known values into the equation

leads us to

\frac{x}{y}=9

x=9y

y=\frac{1}{9}x

This represents the necessary equation depicting the area Felicia covered, y, in terms of the number of tiles utilized, x.

6 0
2 months ago
Write the number described by 1 ten 16 ones.
PIT_PIT [12445]
Calculating the number: 1 group of ten plus 16 units equals 1×10 plus 16×1, which is 10 plus 16, totaling 26.

Hope this clarifies things!
7 0
3 months ago
Read 2 more answers
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