How many solutions does -3x+9-2x=-12-5x have
1 answer:
You might be interested in
I think it’s 5/14 not positive but pretty sure
Answer:
a) There are 8 possible combinations and each probability is 1/8.
b) The probability that it is a boy given that there are two girls is 3/8
Step-by-step explanation:
a) The sample space is given by:
BBB (3 boys)
BBG (Boy, boy, girl)
BGB (Boy, girl, boy)
BGG (Boy, girl, girl)
GBB (girl, boy, boy)
GBG (girl, boy, girl)
GGB (girl, girl, boy)
GGG (3 girls)
The probability of each combination is the same:
P(BBB)=P(B∩B∩B)=
2) There are three possible combinations in which there are 2 girls and 1 boy:
BGG, GBG, GGB
So the probability is given by:
P(BGG ∪ GBG ∪ GGB)=
9514 1404 393
Answer:
- down
- maximum
- x=2; (2, 1), -3
Step-by-step explanation:
1. The negative leading coefficient (-2) tells you the parabola opens downward.
__
2. The fact that the parabola opens downward tells you the vertex is a maximum.
__
3. For quadratic ax^2 +bx +c, the axis of symmetry is x = -b/(2a). For this parabola, that is x = -4/(2(-1)) = 2. The y-value of the vertex is f(2) = -2^2+4(2)-3 = -4+8-3 = 1. The y-intercept is the constant, c = -3.
- axis of symmetry: x = 2
- vertex: (2, 1)
- y-intercept: (0, -3)
