Let D be the set of weekdays, Monday through Friday, let W be a set of employees {1, 2, 3} of a tutoring center, and let V be a set of computer languages for which tutoring is offered, {A(P L), B(asic), C(++), J(ava), L(isp), P(ython)}. We define s (schedule) from D into W by dsw if w is scheduled to work on day d. We also define r from W into V by wrl if w can tutor students in language l. If s and r are defined by matrices (1 2 3
M 1 0 1 A B C J L P
S = T 0 1 1 and R = 1 (0 1 1 0 0 1
W 1 0 1 2 1 1 0 1 0 1
R 0 1 0 3 0 1 0 0 1 1)
F 1 1 0)
a. compute SR using Boolean arithmetic and give an interpretation of the relation it defines
b. compute SR using regular arithmetic and give an interpretation of what the result describes.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

x = -5

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct