Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
1.
Seven hundred twenty-five
2.
Two hundred thirteen
The answer would be:
A translation 5 units down, followed by a 180-degree counterclockwise rotation about the origin
See attached picture:
Answer:
The game is not fair
Step-by-step explanation:
Let us find the sample space. It is the sum of the two spins
1+1 1+2 1+3 1+4
2+1 2+2 2+3 2+4
3+1 3+2 3+3 3+4
4+1 4+2 4+3 4+4
Adding
2,3,4,5
3,4,5,6
4,5,6,7
5,6,7,8
P(2) = 1/16
p(3) = 2/16
p(4) = 3/16
p(5) = 4/16
p(6) = 3/16
p(7) = 2/16
p(8) = 1/16
Player A gets a point if the sum is 6 or more
P (6,7,8) = P (6) + P(7) + P(8) since they are independent event
=( 3+2+1) /16 = 6/16 = 3/8
Player P gets a point if the sum is less than 6
P (2,3,4,5) =P (2) + P(3) + P(4 + P(5)
(1+2+3+4)/16 = 10/16= 5/8
Player B has a better chance of winning, so the game is not fair
Answer:
1. 78cm^2
2. 200 ft^2
Step-by-step explanation:
1. i always cut these complex shapes into simpler ones (in this case a rectangle and a triangle)
the rectangles area is 6*8 or 48 and the triangles area is (10*6)/2 or 30 you then add the two areas to get the area for the whole shape 48+30=78
2. once again you're going to break this shape up into the individual rooms and then add them together the garage is a 4*6 room (24) the bedroom is a 8*4 room (32) the living room is a 10*10 room (100) the kitchens a 6*6 room (36) and the bathroom is a 4*2 room (8) you then add all these together
24+32+100+36+8=200
