Determine whether each table defines the variable b as a function of the variable a. Select Yes or No for each table.

Q: An assignment is worth 200200 points. For each day the assignment is late, the professor deducts 55…

A:

Q: Write an equation of the line that passes through (1.5, -3.6) and is perpendicular to the line…

A: The line equation is y = –5x – 3 and the point is (1.5, –3.6).Here, the slope m is –5.The slope of…

Q: Assume the cost of a taxi is $2 per ride and $2.20 per mile. What function represents your total can…

A:

Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x) = /8x +2 Suppose that g(x) = 8x + 2. h(x) =D

A: We can solve this as follows:

Q: 6. Write the given function as ordered pairs -3 3224 -1 0 4 7

A:

Q: write and equation that gives the number of tickets sold y as linear function of number of hours x…

A: the solution is given below;

Q: a. A table of values for a linear function is given. Fill in the missing value. x −1 0 1 y 3…

A: (a) y3 = -7x-101y3-2-7 (b) y3 = 11x-101y7911Explanation:(a) A line containing points (x1,y1) and…

Q: -2 -1 0 0 12 3 0-1 0 3

A: the given table is x-2-1012y30-103

Q: You have $100 saved and plan to save $20 each month. Write a rule for the amount saved (in dollars)…

A: Let, Y = 20 X + 100 Where, Y = amount saved and X = number of months The amount saved is dependent…

Q: State whether the variable is discrete or continuous:  The number of books in your school's…

A: Introduction: Discrete: A variable, the values of which can be counted, is called a discrete…

Q: A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by $750 each…

A: Given that, A car initially sold for $23,999. Its class life is 12 years, and the car depreciates by…

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.