A research organization wanted to estimate the average number of hours a college student sleeps per night during the school year

Answer:

3,400 in liabilities. I hope this is helpful!

Step-by-step explanation: Start by adding 500 to 900 which equals 1,400

Next, combine 1,400 with the 2,000, resulting in 3,400

The formula modeling this scenario is (-2)(4). The breakdown of the process shows that shifting from 0 to -2 represents -2 units, and similar deductions follow through other steps reaching -8, with a total change of -2 units per step. Thus, the model results in (-2) × 4.

Answer:

Answer choice C. .

Step-by-step explanation:

The entire question is present in the attached figure.

It is established that

The function f(x) is represented by

,

indicating a parabola that opens upward.

The vertex is situated at the point (0,0).

The function g(x) shares the same parabolic shape.

The vertex of g(x) is located at (-3,1).

Therefore,

The transformation from f(x) to g(x) can be described as:

(0,0) transforms to (-3,1).

(x,y) transforms to (x-3,y+1).

This indicates a shift of 3 units to the left and 1 unit upward.

Thus,

The equation for g(x) in vertex form can be expressed as

.

In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!