The answer is 15/8 hope it helps
So since the vertex falls onto the axis of symmetry, we can just solve for that to get the x-coordinate of both equations. The equation for the axis of symmetry is
, with b = x coefficient and a = x^2 coefficient. Our equations can be solved as such:
y = 2x^2 − 4x + 12: 
y = 4x^2 + 8x + 3: 
In short, the vertex x-coordinate's of y = 2x^2 − 4x + 12 is 1 while the vertex's x-coordinate of y = 4x^2 + 8x + 3 is -1.
97 is the rational number
Answer:
Her electric toothbrush makes 210,000 rotations in one week
Step-by-step explanation:
Note that:
∵ Gerry brushes her teeth for two minutes, twice a day
→ Twice means times 2
∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day
∵ Gerry's electric toothbrush rotates the brush 125 times per second
∵ 1 minute = 60 seconds
→ Multiply 125 by 60 to find the number of rotating in 1 minute
∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute
∵ Gerry brushes her teeth for 4 minutes a day
→ Multiply it by 4 to find the number of rotation in 1 day
∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day
∵ 1 week = 7 days
→ Multiply the number of rotation in 1 day by 7 to find it in 1 week
∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week
∴ Her electric toothbrush makes 210,000 rotations in one week
It would be 10 because With Nancy, y=4x+30, 30 is the membership fee which is 10 less than Jessicas membership fee of 40.