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KiRa [710]
3 years ago
11

G(x) = 3x + 1f(x) = 2x - 5 Find g (f (x))​

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

Answer:

g(f(x)) = 6x - 14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Function Composition

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 3x + 1

f(x) = 2x - 5

<u>Step 2: Find</u>

  1. Substitute:                    g(f(x)) = 3(2x - 5) + 1
  2. Distribute 3:                  g(f(x)) = 6x - 15 + 1
  3. Combine like terms:    g(f(x)) = 6x - 14
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The producer of the news station posted an article about the high school’s football championship ceremony on a new website. The website had 500 views after four hours. Create a table to show how many views the website would have had after the first, second, and third hours after posting if the website receives views at the same rate. How many views would the website receive after 5 hours?

Answer:

<u>625 views</u>

Step-by-step explanation:

<em>Remember,</em> we are told to <u>base our calculation on the assumption that the website receives views at the same rate.</u>

Hence, if after 4 hours there were 500 views, it means the average views per hour would be 500/4 = 125 views. So for every hour, there would be 125 added views to the total.

In other words,

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Second hour:<u> </u><u>250 views (125 views + 125 views</u>)

Third hour: <u>375 views (250 views + 125 views)</u>

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the birth rate in a certain country in 1994 was 14,6 birthd per thousand population. in 2004 the birth rate was 14.32 per thousa
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Answer:

y(x)=-0.028x+14.6

Step-by-step explanation:

Birth Rate in 1994 =  14.6 births per thousand population.

Birth Rate in 2004 =  14.32 births per thousand population.

A linear equation is of the form: y=mx+c

Where:

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First, we determine the birth rate per year

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Therefore, a linear equation that relates y in terms of x is of the form:

y(x)=-0.028x+c

When x=0, y=14.6

14.6=-0.028(0)+c

c=14.6

Therefore, the linear equation that relates y in terms of x is:

y(x)=-0.028x+14.6

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