Rudy examined his rack of clothes-five shirts and four ties—trying to decide what combination to wear. His five shirts included three solids
and two patterns. His three solid-color shirts were blue, green,
and
white. One of his two pattemed shirts was a blue and green print,
and the other was a red and white stripe. He needed to match a shirt
with a tie. His solid-color ties were white, blue, and yellow, and his
pattemed tie was a green and blue stripe. Rudy has two rules of good
taste: You don't wear two solids of the same color, and if you wear a
pattem, match it with a solid that is the same color as one of the colors
of the pattern. Given those conditions, what is the probability that
Rudy will pick out a combination that includes blue?

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6

n=2.7

step-by-step explanation: