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Gala2k [10]
2 years ago
11

Diego plays center forward on his soccer team. On average, he scores 1.25 goals per match. The tally of his total goals for the

season is given by function f(x) = 1.25(38 − x), where x is the number of matches he plays. What is the inverse of the function? The inverse function is f-1(x) = . In the inverse function, the variable x represents the . ©
Mathematics
1 answer:
Dimas [21]2 years ago
5 0
(x) = 1.25(38 - x)
Finding the inverse of a function:y = f(x)
y = 1.25(38 - x)
Solve for x:y = 1.25(38 - x)y/1.25 = 38-xx = 38 - y/1.25
Switch x and y.
y = 38 - x/1.25
f^-1(x) = 38 - x/1.25


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A river drops 12 ft vertically over a horizontal distance of 1500 ft.
elixir [45]

Answer:

Slope = rise / run

= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)

= -0.008

4 0
2 years ago
How many weeks of flea treatment would Jim’s dog get from one package if each treatment only lasted 3 weeks In a normal year whe
4vir4ik [10]

Solution

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

\frac{52}{4} =13 times

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

\frac{52}{3} =17 times


So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

4 0
2 years ago
Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each
luda_lava [24]

127 \div z
8 0
2 years ago
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
VLD [36.1K]
<h2>Answer:</h2>

The average speed of car is:

                 0.75 miles per minutes.

The equation of line is:

                    n=\dfrac{3}{4}t

<h2>Step-by-step solution:</h2>

The table that describes the time and number of  miles marked is given by:

Time       Miles

  0              0

  4               3

  8               6

Clearly we could observe that with the increase in time by every 4   minutes the number of mile increases by 3.

i.e. the average speed is calculated as the ratio of change in miles to the change in time.

Hence,

Average\ Speed=\dfrac{3-0}{4-0}\\\\\\i.e.\\\\\\Average\ Speed=\dfrac{3}{4}=0.75

Hence, the average speed=0.75 miles per minutes.

Also we will find the equation of the lines that related the miles and time by using the two-point formula.

i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

y-b=\dfrac{d-b}{c-a}\times (x-a)

Here (a,b)=(0,0) and (c,d)=(4,3)

i.e. the equation is given by:

n-0=\dfrac{3-0}{4-0}\times (t-0)\\\\i.e.\\\\n=\dfrac{3}{4}t

6 0
2 years ago
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5678(1+(0.045×6))
5678=P as it is the principal amount
8 0
2 years ago
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