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Svetach [21]
3 years ago
11

How do you find the AOS and vertex of a quadratic?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
3 0

Answer:

The standard form of a quadratic is y = ax^2 + bx + c.

  • In this equation, the formula for the axis of symmetry is x = \frac{-b}{2a}.
  • You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.

The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.

  • In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!
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Correct Answers only please!
Tcecarenko [31]

Answer:

C. $97

Step-by-step explanation:

The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.

average wage for 15 days = (sum of wages for the 15 days)/15

The amount of wages during a number of days is the product of the average wage of those days and the number of days.

First 7 days:

average wage: $87

number of days: 7

total wages in first 7 days = 7 * $87/day = $609

Last 7 days:

average wage: $92

number of days: 7

total wages in last 7 days = 7 * $92/day = $644

8th day:

wages of the 8th day is unknown, so we let x = wages of the 8th day

total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)

total wages of 15 days = 609 + x + 644 = x + 1253

average wage for 15 days = (sum of wages for the 15 days)/15

average wage for 15 days = (x + 1253)/15

We are told the average for the 15 days is $90/day.

(x + 1253)/15 = 90

Multiply both sides by 15.

x + 1253 = 1350

Subtract 1253 from both sides.

x = 97

Answer: $97

3 0
2 years ago
A meteorologist has a thermometer that measures the temperature in degrees Celsius. One morning the thermometer reads -2°C, and
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Jim and Carla are scuba diving. Jim started out 12 feet below the surface. He descended 17 feet, rose 3 feet, and descended 8 mo
Maslowich

Answer:

Jim reached a greater depth by one foot, as he started 12 feet below the surface.

Step-by-step explanation:

Jim

12 feet+17 feet = 29

29-3 feet (rose 3 feet) = 26

26+8= 34 feet

Carla

0 feet (surface)+ 19 feet= 19

19-3 feet= 16

16+17= 33 feet

5 0
3 years ago
Can someone solve this?
Vlada [557]

Answer:

1) B and C

2) 0 < 5x - 10 < 50

10 < 5x < 60

2 < x < 12

3) B

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If i can get an answer by tom i would really apreciate it.<br><br>=D
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