Answer:
468 ways
Step-by-step explanation:
Given: A catering service offers 5 appetizers, 4 main courses, and 8 desserts
To find: number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts.
Solution:
A permutation is an arrangement of elements such that order of elements matters and repetition is not allowed.
Number of appetizers = 5
Number of main courses = 4
Number of desserts = 8
Number of ways of choosing k terms from n terms = 
Number of ways a customer is to select 4 appetizers, 2 main courses,and 3 desserts = 

So, this can be done in 468 ways.
Answer:
38%
Step-by-step explanation:
Original price = $ 80
Price after reduction = $ 49.60
Reduction = 80 - 49.60 = $30.40
Percentage of decrease = 

= 38%
First question:
1. Set equations equal to each other so 5x-9=2x+6
2. Put x's on one side so that 3x=15
3. Divide by 3 so that x=15
4. Substitute 15 in for x so that y=2(15)+6
5. Solve for y so that y=36
6. Thus the equations intersect at (15,36)
Second question:
1. Since for lines y=mx+b, and m=slope=3 you only need to write an equation with slope 3
2. y=3x+b, b can be any number
Answer:
50)
a. + 13
B. +10
C. -15
D. -5
Step-by-step explanation:
Parabola: is a two-dimensional, mirror-symmetrical curve, which is
approximately U-shaped when oriented as shown in the diagram below, but
which can be in any orientation in its plane. It fits any of several
superficially different mathematical descriptions which can all be
proved to define curves of exactly the same shape.
Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type
of smooth curve lying in a plane, defined by its geometric properties or
by equations for which it is the solution set. A hyperbola has two
pieces, called connected components or branches, that are mirror images
of each other and resemble two infinite bows
Hope this Helps