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3 years ago

In the inverse variation function, what happens to the output when the

Mathematics

1 answer:

Nookie1986 [14]3 years ago

7 0

Answer:

Option D.

Step-by-step explanation:

An inverse variation function is defined as

$y\propto \dfrac{1}{x}$

$y=\dfrac{k}{x}$

where, k is constant of proportionality.

In the above equation x represents input and y represents output.

If the function's input value is multiplied by 4, then

$y_1=\dfrac{k}{x_1}$

$y_1=\dfrac{k}{4x}$

$y_1=\dfrac{1}{4}\cdot \dfrac{k}{x}$

$y_1=\dfrac{1}{4}y$

The output is divided by 4.

Therefore, the correct option is D.

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Hi how’s your day ? Would you like to help me ?

Feliz [49]

Answer:

Good

I think its the second but i'm not sure because there are no measurements

Good luck

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3 years ago

Please, help! Pretty urgent!

jekas [21]

Answer:

1. As definition, in a function, the set of all possible inputs or possible x values is called the domain.

=> Option 2 is correct.

2. As definition, in a function, the set of all possible outputs or possible y values is called the range.

=> Option 3 is correct.

3. You pay a fixed amount of 70$ and 3$ for each movie.

=> A function that models the total cost: y = 70 + 3x

=> Option 1 is correct

4. Similar to the 3rd, you pay a fixed amount of 5$ to enter and 2$ for each ride.

=> A function that models the total cost: y = 5 + 2x

=> Option 3 is correct.

5. The average rate of change (R) of f(x) = x2 + 1 from x = 0 to x = 3 is actually the rate of change of line passes (0, 1) and (3, 10) as shown in picture.

=> R = (10 - 1)/(3 - 0) = 9/3 = 3

=> Option 1 is correct.

6. As property of vertical line: 75 = x - 10 + 20

=> x = 75 + 10 - 20 = 65 deg

As property of complement angles: 75 + y = 180

=> y = 180 - 75 = 105 deg

=> Option 2 is correct.

7. Yes, the two triangles are congruent (Side-Angle-Side case) with two sides are equal and the pair of angles created by those pair of 2 sides are also equal.

Hope this helps!

4 0

3 years ago

Find the value of the variables

Vedmedyk [2.9K]

Answer:

x = 15

y = 12

z = 20

Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

then y = 12

8 0

2 years ago

A. CPCTC b. SAS c. ASA d. SSS

Lyrx [107]

a. CPCTC is your answer

CPCTC means that "Congruent Parts of a Congruent Triangle(s) are Congruent"

If ΔBRM ≅ ΔKYZ (given), then every part inside the triangle is ≅ with the corresponding side.
So, for example Line BR will be ≅ with Line KY, etc

hope this helps

7 0

3 years ago

Simulate the rolling of two dice 10,000 times. (b) Identify which rolls of the dice are in the event A, the dice add up to a per

dexar [7]

Answer:

Answer explained below

Step-by-step explanation:

(a)

Simulate the rolling of two dice 10,000 times D1 and D2 are the 10,000 results of roll of dice 1 and dice 2.

D1 = sample(c(1:6), 10000, replace = TRUE)

D2 = sample(c(1:6), 10000, replace = TRUE)

Sum = D1 + D2

(b)

The event A, the dice add up to a perfect square (4 or 9).

A = Sum[Sum == 4 | Sum ==9]

Proportion of A, P(A) = 0.189

length(A) / length(Sum)

(c)

The event B, the dice add up to an even number.

B = Sum[Sum %% 2 == 0]

Proportion of B, P(B) = 0.5049

length(B) / length(Sum)

(d)

The rolls are in A ∩ B (common to both A and B)

> intersect(A,B)

[1] 4

The proportion that are in A ∩ B is 0.0792

length(Sum[Sum == 4]) / length(Sum)

P(A) * P(B) = 0.189 * 0.5049 = 0.0954

The proportion in A multiplied by the proportion that are in B is not equal to P(A ∩ B)

(e)

Of the rolls in which B occurs, the proportion of those rolls are also in A is 0.4190476

length(Sum[Sum == 4]) / length(A)

This proportion is greater than the P(A) calculated in part (b).

4 0

3 years ago