Hello,
1: dom f=R
2: img f =R
3: 2x²-x-6=2(x²-2x/4+1/46)-6-1/8=2(x-1/4)²-49/8
Vertex=(1/4,-49,8)
4: roots are -3/2 and 2
2(x-1/4)²-49/8=1/8[(4x-1)²-49]=1/8*(4x+6)(4x-8)
5:
From the vertex to ∞
[-1/4 , ∞)
Answer:
1. C
2. D
3. C
Explanation:
1. Girls = 12 plus twice the number of boys, so C. y = 12 + 2x.
2. You have to see which point has the second value being greater than the first value:
A) -1 > -2 is not true
B) 0 > 1 is not true
C) 2 > 3 is not true
D) 8 > 4 is true, so it's D
3. Add the two values and see if it's less than 5
A) -1-4 < 5 is true
B) 0 + 4 < 5 is true
C) 1 + 7 < 5 is not true, so this is the answer
D) 2 + 2 < 5 is true
Answer:
Step-by-step explanation:
9 - x ≤17
At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.
We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.
Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.
9 - x ≤ 17 Add x to both sides
9 - x+x ≤ 17 + x Combine
9 ≤ 17 + x Subtract 17 from both sides.
9 - 17 ≤ 17 - 17 + x
8 ≤ x
Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.
Answer:
a) 0.86602540378
b) 0.70710678118
c) 0.57735026919
Step-by-step explanation:
Answer:
c and a are the correct answers
