Answer:
Step-by-step explanation:
17.
18.
f(x)=6x^2+7x-4
(a)
f(3)=6(3)^2+7(3)-4
=54+21-4
=71
(b)
f(m)=6m^2+7m-4
(c)
f(x+1)=6(x+1)²+7(x+1)-4
=6(x²+2x+1)+7x+7-4
=12x²+12x+6+7x+7-4
=12x²+19x+9
19.
(fg)(x)=f(g(x)=f(2x²+3)=2x²+3+5=2x²+8
20.
(a)
f(x)=x²+3x+4
domain:all real values
(b)
domain:all real values≥-2
(c)f(x)=log(x+7)
Domain:x≥-7
21.
x²+6x+y²-7=0
(x²+6x+6/2)²)-(6/2)²+y²=7
(x+3)²+y²=7+9
(x+3)²+y²=4²
center=(-3,0)
radius=4
22.
(x-3)²+(y-5)²=3²
or
x²-6x+9+y²-10y+25=9
x²+y²-6x-10y+25=0
Graph is for 17th question.
Step-by-step explanation:
first expand :
6p +36 -p +6
5p+42
Answer:
D
Step-by-step explanation:
Answer:
explained
Step-by-step explanation:
(i) Let A be the event that a student takes statistics subject as a major.
Let B be the event a student gets a job.
Two events (or propositions) are mutually exclusive or disjoint if they cannot both occur (be true). A clear example is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
In this case, the event A and B are not mutually exclusive.
Therefore, P(A or B) = P(A U B) = P(A) + P(B) − P(A ∩ B)