0/ 99% 4G v m 7:40 ZONE Graph the following functions 4 f(x) =x - 1 15) 16) f(x) 5 Solve the system of linear equations by substitution — Зх — 5у %3D — 17 4х — у %3D —8 17) 18) Solve the system of linear equations by elimination 8x + 4y 0 4х — 2у 3D 2 19) Solve the system of linear equations by the method of your choice 2х — 5у 3D 11 Зх + у %3D 8 20) Solve the system of linear equations by the method of your choice х+7у %3D 3 3x 9y 21 Solve each application problem. An architect designed a rectangular pool for one of her clients. The length of the pool is 12 feet longer than twice the width of the pool. The perimeter of the pool is 168 feet. Determine the length and the width of the pool. 21) Two days to Sea World and three days at Islands of Adventure, both in Orlando, costs $323.90. Three days a Sea World and two days at Islands of Adventure costs $305.10. How much does one day cost at each park? 22) Kim the chemist needs 50 liters of a 26% acid solution. She wants to mix a 20% solution 23) with a 36% solution. How much of the 20% solution and the 36% solution does she need to use to achieve her goal? =
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.
How would I graph # 15&16
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