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2 years ago

Show that the function of f(x) = a - x is its own inverse for all real numbers a

Mathematics

1 answer:

tatuchka [14]2 years ago

5 0

f(x) = a - x

y = a - x

y + x = a - x + x

y + x = a

y + x - y = a - y

x = a - y

f-¹(x) = a - x

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Find the area of this triangle... Round to the nearest tenth and include units in your answer

alina1380 [7]

Answer:

36 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2•b•h

so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2

4 0

2 years ago

Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

You can use the distance formula (d = rt) to solve this problem.

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

Calculations

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

3 years ago

Solve for x -3 + x = - 38

fiasKO [112]

x-3+x=-38

2x-3=-38

2x=3-38=-35

x=-35/2=-17.5

3 0

3 years ago

Read 2 more answers

Help!! Lots of points

murzikaleks [220]

$\frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2}) }^{2}$
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

$\frac{ {5}^{2} }{ {2}^{2} } = \frac{5 \times 5}{2 \times 2} = \frac{25}{4} = 6.25\\ \frac{ {5}^{2} }{ {2}^{2} } = {( \frac{5}{2} )}^{2} = 2.5 \times 2.5 = 6.25$
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.

3 0

3 years ago

Read 2 more answers

The table below shows the distance Chris is located from his school at different times. Time (minutes) Distance (miles) 0 20 3 1

telo118 [61]

Answer:

20 minutes

Step-by-step explanation:

x is 0 in the graph and y is 20

so 20 is your answer if 0 is x

3 0

2 years ago