X + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is _____.

Answer:

Table B demonstrates a linear function.

Step-by-step explanation:

The reason Table B is classified as a linear function is that for each increment of one in x, y increases by a consistent rate of 4.

Answer:

10

Step-by-step explanation:

If there’s a direct correlation between variables x and y, it can be expressed as

y = kx,

where y is the dependent variable

x is the independent variable

k signifies the constant of variation

_____________________________

For the first scenario

y = 400

x = r

using y = kx, we can derive the relation:

400 = kr

To find k here:

k = 400/r

For the second scenario

y = r

x = 4

again using y = kx, the relationship is given by:

r = 4k

Solving for k:

k = r/4

Since both conditions provide the same equation, k will have the same value in both cases.

Thus, we conclude:

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

Hence, r is calculated to be 40.

Thus, k = r/4 = 40/4 = 10.

The constant of variation is confirmed to be 10, which is the correct answer.

Verification:

k = 400/r = 400/40 = 10

Answer:

A. △ABC ~ △DEC

B. ∠B ≅ ∠E

D. 3DE = 2AB

Step-by-step explanation:

Transformation includes modifying the shape or size of a figure, using techniques such as reflection, dilation, rotation, and translation.

In this scenario, triangle ABC undergoes reflection and dilation to create triangle DEC. Each side of triangle DEC measures two-thirds the length of its corresponding side in triangle ABC. Thus, the following statements about the triangles are true:

i. △ABC ~ △DEC

ii. ∠B ≅ ∠E

iii. 3DE = 2AB

Answer:

- 1675.38

Step-by-step explanation:

In 2017, the kitchen equipment's value was recorded at $14,550.

V(0)=$14550

Its following value is represented by .

We need to ascertain the rate of value change as of January 1, 2019.

As of 2019, which is 2 years later, we set t=2.

The rate of value change is

== -1675.38