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salantis [7]
3 years ago
8

The function g(x) = \frac{1}{2}\left| {x} \right|g(x)= 21​ ∣x∣ is a transformation of the absolute value parent function. Which

graph shows g(x)?

Mathematics
1 answer:
Alchen [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

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The price of a computer component is decreasing at a rate of 15​% per year. State whether this decrease is linear or exponential
Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

P(t) = P(0)(1-r)^{t}

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15​% per year.

This means that r = 0.15

Component costs ​$60 ​today

So P(0) = 60. Then

P(t) = P(0)(1-r)^{t}

P(t) = 60(1-0.15)^{t}

P(t) = 60(0.85)^{t}

What will it cost in three​ years?

This is P(3).

P(t) = 60(0.85)^{t}

P(3) = 60(0.85)^{3} = 36.8475

The component will cost $36.8475 in three years.

6 0
3 years ago
Convert 26\%26%26, percent to a fraction in simplest form.
Korolek [52]
26 percent?

A percent is a fraction out of a hundred. 5% is 5 out of one hundred, 20% is 20 out of one hundred, etc.

So 26/100 simplified is 13/50.
6 0
3 years ago
What is the range of f(x) = – 4?
aliya0001 [1]
Range is the value of the output
basically
y=f(x)
since it is -4

y=-4 is the range
not listed
7 0
3 years ago
Which equation represents an exponential function that passes through the point (2, 80)?
Lena [83]

The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ1

4 0
2 years ago
A dog's adult weight is 60 pounds. As a puppy, it is 10% of its adult weight. How much does it weigh as a puppy?
Oksi-84 [34.3K]

Answer:

Puppy weight= 6 pounds

Step-by-step explanation:

Giving the following information:

Adult weight= 60 pounds

Puppy weight rate= 10%

<u>To calculate the weight in pounds of a puppy, we need to use the following formula:</u>

Puppy weight= adult weight*puppy weight rate

Puppy weight= 60*0.1

Puppy weight= 6 pounds

6 0
3 years ago
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