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andreyandreev [35.5K]
2 years ago
10

Given the functions f(x)=1x−4+3 and g(x)=1x+1+6.

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
8 0

The statement that describes the transformation of the graph of function f onto the graph of function g is:

The graph shifts 5 units left and 3 units up.

<h2>Transformations</h2>

The given functions are:

f(x) = (x-4) + 3

g(x) = (x+1) + 6

Comparing the functions f(x) = (x-4) + 3 and g(x) = (x+1) + 6

Difference between f(x) and g(x) on the x-axis = 1 - (-4) = 5

Difference between f(x) and g(x) on the y-axis = 6 - 3 = 3

From the comparison made above, we can conclude that:

The graph of f(x) is shifted to the left by 5 units to form g(x)

The graph of f(x) is shifted up by 3 units to form g(x

Learn more on transformation here: brainly.com/question/10222182

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Answer: 7

Step-by-step explanation: 7x7=49 and 7x5=35

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At 1:30 p.m., Tom leaves in his boat from a dock and heads south. He travels at a rate of 25 miles per hour. Ten minutes later,
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Answer: she would catch up with Tom in 1 hour.

Step-by-step explanation:

Let t represent the time it will take for Mary to catch up with Tom.

Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.

Distance = speed × time

Distance travelled by Tom in t hours is

25 × t = 25t

Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour

Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in

(t - 10/60) hours is

30(t - 10/60)

= 30t - 5

By the time she catches up with Tom, they would have covered the same distance. It means that

25t = 30t - 5

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5t = 5

t = 5/5 = 1 hour

7 0
3 years ago
Express 0.7723 as a fraction
solong [7]
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HELP ASAP DUE TOMORROW!!!!
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Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,897 gallons of water, and is leaking at a rat
pishuonlain [190]

Answer:

Gallons of water remaining = 16,962 gallons

Step-by-step explanation:

Total capacity of the pool = 17,897 gallons

Rate of leakage per day = 5 gallons

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how many gallons of water will remain in the pool after 187 days?

Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days

= 17,897 - (5 × 187)

= 17,897 - 935

= 16,962 gallons

Gallons of water remaining = 16,962 gallons

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