Step-by-step explanation:
For y = x^3 - 4 when x = 0, y = -4.
For y = x^2 + 3 when x = 0, y = 3.
Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.
The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.
Hence the answer is D.
Answer:
Step-by-step explanation:
Let x represent the number of bananas that Tommy eats.
Let y represent the total number of pieces of fruit that the monkey eats.
Every day, his monkey eats 4 apples in the morning. The monkey also eats two bananas for every banana that tommy eats. This means that the number of bananas that the monkey eats is 2x. The expression for the total number of fruits eaten by the monkey becomes
y = 2x + 4
Answer:

Step-by-step explanation:
The equation of a line:

We have

substitute:

The formula of a distance between a point and a line:
General form of a line:

Point:

Distance:

Convert the equation:
|<em>subtract
from both sides</em>
|<em>multiply both sides by 3</em>

Coordinates of the point:

substitute:


|<em>multiply both sides by
</em>
|<em>divide both sides by 3</em>

Finally:

This problem is about the distance between points, in this case, we have to unidimensional coordinates, that is, point O is at -2, and Point V is at 1/2.
It's important to know that the proper way to find the distance here is by subtraction, we need to subtract the final points and the initial point. In math, such subtraction is called "differential" or "variation", just a fancy name.

<h2>Therefore, the distance from O to B is 2.5 units.</h2>
15.9687194227 units between the 2 points