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Lelechka [254]
3 years ago
13

if laura bikes x miles to and from her friend's house each day, what expression can be used to calculate the total distance she

travels in a week
Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0
Well a week has 7 days and because the x is unknown, we would say 7x
boyakko [2]3 years ago
3 0
The expression to find total miles is
total miles=7x
Because there is 7 days in the week and she bikes x miles each of the 7 days.
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The average person's stride length is approximately 2.5 feet long. How many steps should the average person take to travel 50 fe
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The answer is 20.
you have to divide 50 by 2.5 to get your answer
3 0
3 years ago
Read 2 more answers
What’s the inverse of <br> f(x) = -2 + 2/3x
saveliy_v [14]

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)

<u>Your inverse is f^-1(x) = 3/2x + 3</u>

8 0
3 years ago
A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to
Vesna [10]

Answer:

20%

Step-by-step explanation:

p(outcomes)=#of favourable outcomes/#of possible outcomes

=1/5

=0.2

=20%

7 0
3 years ago
A copy machine repairman makes $12.50 per hour plus $4 for every service call he performs. Last week he worked 34 hours and made
Slav-nsk [51]
Hours = 34 Income per hour = 12.5$ Service calls = 6 Income per call = 4 Therefore, total income = (time of working * income per hour) + (service calls * income per call) = (34*12.5) + (6*4) = 425+24 = 449
5 0
3 years ago
Verify that f and g are inverses functions using composition , show your steps
pshichka [43]

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) =  x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other

5 0
3 years ago
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