Question 1 determine whether a relation is a function, as well as its domain and range:
a. which of the following relations are functions?
1. y= -x+3
2. x=y+3
3. x-y=3

a. none of them
b. all of them
c. choice 2 only
d. choice 3 only

b. find the range for f(x)=x^2+1, for x> 0.
a. y> 1
b. y≥1
c. y< 1
d. y≤1
^& not sure on this, but it's a or b?

c. find the domain for f(x)=(x-3)/(x-2)
a. x≠ -3
b. x ≠ 2
c. x ≠ -3, -2
d. x ≠ -2
^this one is b, right? that's what i got.

d. find the range of the function: f(x)=x+2, for x≠1.
a. all real numbers
b. y≠1
c. y≠2
d. y≠3
^this one is d, right? i got this too.

step-by-step explanation:

6 meters

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -