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2 years ago

Which of the following is the reciprocal parent function A.f(x)= -x^2 B.F(x)= x+1 C. F(x)=|x| D.F(x)=1/x

Mathematics

2 answers:

Cerrena [4.2K]2 years ago

6 0

The reciprocal parent function would be, F(x)= 1/x

True [87]2 years ago

4 0

Answer: The correct option is D.

Explanation:

The reciprocal function is in the form of rational function and negative exponent form.

The parent equation of reciprocal function is,

$f(x)=\frac{1}{x}$

It can be written as,

$f(x)=x^{-1}$

The domain of this function is all real numbers except 0 and range is all real number except zero.

Therefore, the correct option is D.

The function in option A and B are polynomial functions.

The function in option C is a modulus function.

Therefore, the options A,B and C are incorrect.

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2 years ago

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Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

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2 years ago

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of thr

Rina8888 [55]

Answer:

3 - (n - 1) = 1/2(3n - 4)

Step-by-step explanation:

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

PS: I really do not understand the options

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2 years ago

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The number of hours walked varies inversely with the speed of the walker. if it takes sam 12 hours to complete his walking goal

Effectus [21]

We let k be the proportionality constant for the relationship between number of hours, h and speed of the walker, s.

h = k/s
Substituting the known values,
12 = k/5
k = 60

For the second scenario,
h = k/s
Substituting the calculated value for k and the given value for speed,
h = (60)(3 miles/hour)
h = 20 hours
h = 20 hours

Therefore, it will take 20 hours to walk with a speed of 3 miles per hour.

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2 years ago

The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?

Mama L [17]

Answer:

your anser is c

Step-by-step explanation:

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2 years ago

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