B. quadratic. To determine whether a function is linear, quadratic, or exponential without graphing, examine the first, second, and third differences between the terms. If the first differences remain constant, the function is linear; if the second differences are constant, it is quadratic; if the third differences are constant, it is cubic. If the fourth differences do not remain constant, the function may be exponential. Here, the first differences are not constant, ruling out linearity. However, the second differences are constant (around $0.18 each), indicating a quadratic function. The accompanying graph supports that the points closely align with a quadratic model.
Answer: The correct choice is B. Step-by-step explanation:
A line and a point.
Additional explanation
A ray consists of a segment of a line emerging from one endpoint. It represents an infinite straight path extending in one direction from a starting point, exemplified by
.
The arrow indicates the direction along which the ray extends. The ray's length isn't quantifiable.
In geometry, undefined terms refer to fundamental figures that are not defined by other figures. The primary undefined terms in geometry include a point, line, and plane.
These crucial concepts cannot be precisely defined in mathematical terms using other established words.
- A point indicates a specific location without any size; it is marked with a capital letter and a dot.
- A line comprises an infinite collection of points stretching in both directions with just one dimension; it is a straight path without thickness.
- A plane represents a flat surface encompassing numerous points and lines, extending infinitely in all directions. It is two-dimensional, and any three points that are not collinear define a unique plane.
Explore more
- Which points are both coplanar and noncollinear?
- Definition of line segments
- What are three collinear points on a line?
Keywords: which undefined terms define a ray, point, line, plane, endpoint, one direction, the ray's arrow
Response:
$14
Step-by-step explanation:
35 divided by 20 equals 1.75
8 multiplied by 1.75 results in 14
8.96 gallons of water
To solve this question, you multiply the ratio of the volumes of container b to container a by the volume of container a. As container b has a greater volume than container a, the ratio will be greater than 1. In this scenario, it is 112% since it includes a 12% increase: 100% + 12% = 112%. Consequently, the volume of container b is calculated as 112% x 8 gallons = 8.96 gallons.