All categories

3 years ago

Which of the following is written as a rational function?

Mathematics

2 answers:

Brrunno [24]3 years ago

6 0

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function $G(x)= -2x$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function $P(x)= 3x+4$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function $Q(x)= x^2-8x+1$ , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function $F(x)= \frac{x+2}{5x}$ , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.

So, Option D is the correct answer.

marusya05 [52]3 years ago

5 0

Answer:

Step-by-step explanation:

F(x)=x-3/8x

You might be interested in

Distance between (-3,1) (1,5)

Mamont248 [21]

Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

$d=\sqrt{(x2-x1)^2+(y2-y1)^2}$

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

$d=\sqrt{(1-(-3))^2+(5-1)^2}$

$d=\sqrt{4^2+4^2}$

$d=\sqrt{16 + 16}$

$d=\sqrt{32}$

$d=5.657$

So, the distance between (-3,1) and (1,5) is 5.657 units.

5 0

3 years ago

Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears?

KatRina [158]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

What is 8 1/3x6 3/4=

BaLLatris [955]

Answer:

I think it is 56.25 not sure but try it

4 0

3 years ago

Read 2 more answers

bags of a certain brand of tortilla chips claim to have a net weight of 14 oz. net weights actually vary slightly from bag to ba

Alisiya [41]

Answer:

Power of test = 0.1

Step-by-step explanation:

The value of power of function is called Power of test. The Power function of testing hypothesis would be defined as the probability of rejecting H₀ while H₀ is false.

Power of test is denoted as 1-β which is expressed as P(x ∈ W I Ha)

in our case P(x ≥ 0, Hₐ)

Under Hₐ μ = 13.8 then we know that, Z = {x - E(x)}/(σ/√n)

where x = 13.88, σ, 0.25, n = 16, Hₐ μ= 13.8 = E(x) [x.....Normal distribution]

Z = (13.88 - 13.8)/((0.25)/(√16)) = 1.28

Therefore 1-β = P(z ≥ 1.28) = 0.5 - 0.3997 = 0.1, (from z table values)

hence, the power of our test when μ = 13.8 is 0.1

6 0

3 years ago

An aeroplane is flying due north but, to avoid a storm, it flies 150km

Nataly [62]

Answer:

1) angle ABC = 80°

angle ACB = 40°

2) extra distance traveled = 122 km

Step-by-step explanation:

From the image, angle p° will be equal to 60° (alternate angles).

Angle t° will be equal to (90 - 60) = 30°.

Angle r° = (320 - 270) = 50°

Therefore angle ABC = angle (r° + t°) = (50 + 30) = 80°

BCD is a right angle triangle, therefore, the two other angles apart from the right angle must sum up to 90°.

BCD = ACB = (90 - 50) = 40°

lenght of DB is calculated as

sin 60 = DB/150

0.866 = DB/150

DB = 0.866 X 150 = 129.9 km

AD^2 = 150^2 - 129.9^2 = 5625.99 km

AD = 75 km

Tan 50 = CD/129.9

1.192 =CD/129.9

CD = 129.9 X 1.192 = 154.84 km

BC^2 = 154.84^2 + 129.9^ = 40849.44

BC = 202.11 km

If the plane had flown due north it would have covered AD + CD = 75 + 154.84 = 229.84 km

The divertion took a total distance of AB + BC = 150 + 202.11 = 352.11 km

The extra distance is 352.11 - 229.84 = 122.27 km

Approximately 122 km

4 0

3 years ago