The 5 people can seat in a row in 5! ways
But we need to exclude the ways <span>that ann and bob are seated next to each other which is = 4! * 2!
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So, the number of <span>ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other = 5! - 4! * 2! = 72
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<span>Another solution:
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<span>If ann seated in one of the ends, the number of ways = 3*2
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<span>If ann didn't seat in one of the ends , the number of ways = 2*3
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So, the total number of <span>ways that can <span>ann, bob be seated = 3*2 + 2*3 = 12
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The remaining persons can seat with a number of ways = 3! = 6
So, the total ways that the five persons can seat = 12*6 = 72
Answer:
y= -1/9(x-1)^2 +2
Step-by-step explanation:
The vertex is at (1,2) and another point is at (-2,1).
We know the vertex form of a parabola is
y= a(x-h)^2 +k where (h,k) is the vertex
Substituting the vertex in
y= a(x-1)^2 +2
We have another point, (-2,1)
Substitue this in with x=-2 and y =1. This will let us find a
1 = a(-2-1)^2 +2
1 = a (-3)^2 +2
1 = a*9 +2
Subtract 2 from each side
1-2 = 9a +2-2
-1 = 9a
Divide by 9
-1/9 = 9a/9
-1/9 =a
Putting this back into the equation
y= -1/9(x-1)^2 +2
Okay, the first thing to do is to make it so you're multiplying everything instead of dividing by that last fraction. To divide by a fraction, you just multiply by its reciprocal. So then, it's 15/124 x 230/30 x 124/230. After that, let's organize it into one single giant fraction since order of operations allows us to arrange division and multiplication however we want. Then it's 15x230x124 / 124x30x230. Then, you'll notice that the 230s and 124s can both be canceled out, leaving 15/30. After simplifying, your final answer is 1/2.
Yes because you can simplify sqrt 9 into 3 so you get 3 sqrt 7 and this is irrational because both the numbers are prime
1) distribute 2 to each term within the parentheses
2) combining like terms ( which means subtract a 6-2)
3) subtract 4 from both sides of the equation
4) divide both sides of the equation by 4
Final answer should be ( x = 1/4 )
