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ANTONII [103]
3 years ago
10

Ng Composite Functions Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

f(h(x)) = 2x - 4

General Formulas and Concepts:

<u>Algebra I</u>

  • Composite Functions
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x - 7

h(x) = 2x + 3

f(h(x)) is x = h(x)

<u>Step 2: Find f(h(x))</u>

  1. Substitute:                         f(h(x)) = (2x + 3) - 7
  2. Combine like terms:         f(h(x)) = 2x - 4
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Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equ
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The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

<h3>Writing equation</h3>

From the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal

From the given information,

"<em>Arianys wants to ride her bicycle 55.5 miles</em>"

and

"<em>She has already ridden 19 miles</em>"

Thus,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

If m is the average number of miles she would have to ride for 5 more days to complete her goal,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

Learn more on Writing equation here: brainly.com/question/28351087

#SPJ1

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