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Setler79 [48]
2 years ago
11

What is the amplitude of the function?

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

2

Step-by-step explanation:

Take the absolute value of the lowest y value.

So

| - 1|  = 1

Take the absolute value of highest y value.

|3|  = 3

Add those two together and divide by two.

\frac{1 + 3}{2}  = 2

So the amplitude is 2

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PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater
jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

\log(x) = \log(2^y)

Apply the rule of logarithm

\log(x) = y\log(2)

Divide both sides by log(2)

y = \frac{\log(x)}{\log(2)}

Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

y = \log_2(2^3)

So, we have:

y =3 \log_2(2)

Evaluate log 2 base 2

y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0
2 years ago
What is the additive inverse of -5/7x?
Naya [18.7K]
The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below). For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0
7 0
3 years ago
Yalll n-4 = 3n + 6 do me a favah
Otrada [13]
<h2>Answer:</h2><h2>n=-5</h2>

n

-

4

=

3

+

6

n-4=3n+6

n−4=3n+6

Solve

1

Add

4

4

4

to both sides of the equation

−

4

=

3

+

6

n-4=3n+6

n−4=3n+6

−

4

+

4

=

3

+

6

+

4

n-4+{\color{#c92786}{4}}=3n+6+{\color{#c92786}{4}}

n−4+4=3n+6+4

2

Simplify

3

Subtract

3

3n

3n

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

5 0
3 years ago
Read 2 more answers
Jack paid $46 for 4 pizzas. How much did he pay per pizze?
77julia77 [94]

Answer:

46÷4 = 11.5

so tha answer is $11.50

Step-by-step explanation:

brainliest plz

4 0
2 years ago
Read 2 more answers
Alessandro wrote the quadratic equation –6 = x2 + 4x – 1 in standard form. What is the value of c in his new equation?
Black_prince [1.1K]

Answer:

5

Step-by-step explanation:

To write it in standard form, we set the equation equal to 0.  To do this, we add 6 to each side:

-6+6 = x² + 4x - 1 + 6

0 = x² + 4x + 5

The related function is

y = x² + 4x + 5

The value of c in this function is 5.

7 0
3 years ago
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