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4 years ago

Help The inverse of a function is a function. always sometimes never

Mathematics

2 answers:

8_murik_8 [283]4 years ago

6 0

The answer is sometimes

marysya [2.9K]4 years ago

5 0

Sometimes a function:
The inverse function of y=x^2 is y=+/-sqrt(x), because remember the negative square of something is the same as the positive square of it.
y=+/-sqrt(x) fails the Vertical line test.
Inverses are only one to one if the original function is a bijection

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Solve of the following equations for x: 3x = 5

Effectus [21]

Answer: 1.7

Step-by-step explanation:

5 divided by 3=1.666666667

1.6 and next 6 in line is over 5 so the 6 turns to a 7

3*1.7= 5.1 but when rounded 1 tells 5 to stay down so it = 5

6 0

3 years ago

The circumstances of a circle is 15 π centimeters. What is the area of the circle in terms of π?

zalisa [80]

Answer:

17.90493 is the area

Step-by-step explanation:

8 0

3 years ago

You travel 3 miles downstream in a kayak at a speed of r miles per hour. You turn around and travel 4 miles upstream at a speed

shtirl [24]

<h3>Write a model in simplified form for the total time t (in hours) of the trip:</h3>

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<h3>It takes 2.95 hours when r is 4 miles per hour</h3>

<em><u>Solution</u></em>:

Given that,

<h3>You travel 3 miles downstream in a kayak at a speed of r miles per hour</h3>

Downstream:

Speed = r miles per hour

Distance = 3 miles

Time taken is given as:

$Downstream\ time = \frac{distance}{speed}\\\\Downstream\ time = \frac{3}{r} ------- eqn\ 1$

<h3>You turn around and travel 4 miles upstream at a speed of 0.5r miles per hour</h3>

Upstream:

Speed = 0.5r miles per hour

Distance = 4 miles

Therefore,

$Upstream\ time = \frac{4}{0.5r} -------- eqn 2$

<h3>Finally, you turn around and return to your original starting point at a speed of r + 1 miles per hour</h3>

Therefore,

$time = \frac{1}{r+1} ----------- eqn\ 3$

<em><u>a)Write a model in simplified form for the total time t (in hours) of the trip</u></em>

The total time taken is:

eqn 1 + eqn 2 + eqn 3

$Total\ time\ taken = \frac{3}{r} + \frac{4}{0.5r} + \frac{1}{r+1}\\$

<em><u>b)How long does your trip take when r is 4 miles per hour?</u></em>

Substitute r = 4

$Total\ time\ taken = \frac{3}{4} + \frac{4}{0.5 \times 4} + \frac{1}{4+1}\\\\Total\ time\ taken = 0.75 + 2 + 0.2\\\\Total\ time\ taken = 2.95$

Thus it takes 2.95 hours when r is 4 miles per hour

8 0

3 years ago

Please HELP!!!!! What is the prime factorization of 81m to the 2nd power x to the 3rd power?

makvit [3.9K]

81 m² x³ is the answer

4 0

3 years ago

What is the value of x in the solution to the system of equations below?

son4ous [18]

If you would like to know the value of x in the solution to the system of equations, you can find this using the following steps:

6x + 3y = 13
3x - y = 4 ... y = 3x - 4
___________
<span>6x + 3y = 13
</span>6x + 3 * (3x - 4) = 13
6x + 9x - 12 = 13
15x = 13 + 12
15x = 25
x = 25/15
x = 5/3

The correct result would be 5/3.

6 0

3 years ago