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.
Answer:
M = 1 and M = -7.5
Step-by-step explanation:
The distance between A and B is 6 - (-1.5) = 7.5
Point 1: M is between AB. Since AM:MB = 1:2 then AM:AB = 1:(1+2) = 1:3
that means AM = 7.5 / 3 = 2.5
So M is at -1.5 + 2.5 = 1
Point 2: A is between MB. Since AM:MB = 1:2 then AM:AB = 1:(2-1) = 1
That means AM = AB = 6
So M is at -1.5 - 6 = -7.5
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
2/3 is 0.6666666 repeating forever.