max is at vertex
in form ![y=ax^2+bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bbx%2Bc)
the x value of the vertex is ![\frac{-b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D)
given, ![y=6x^2-1](https://tex.z-dn.net/?f=y%3D6x%5E2-1)
a=6, b=0
the x value of the vertex is -0/(2*6)=0
the y value is ![y=6(0)^2-1=0-1=-1](https://tex.z-dn.net/?f=y%3D6%280%29%5E2-1%3D0-1%3D-1)
so vertex is at (0,-1)
since the value of a is positive, the parabola opens up and the vertex is a minimum value of the function
therefore that value is the smallest value the function can be
domain=numbesr you can use for x
range=numbesr you get out of inputting the domain
domain=all real numbers
range is {y | y≥-1} since y=-1 is the minimum
Answer:
The formula for the volume of a sphere is V = 4/3 πr³.
Step-by-step explanation:
Surface area of sphere = 4πr2
Volume of a sphere = 4/3 πr3
You only need to know the radius to figure both the volume and surface area of a sphere.
Answers for surface area problems should always be in square units.
Answers for volume problems should always be in cubic units.
Answer:
1,79,07,120 ways
Step-by-step explanation:
Ways in which 3 solids can be chosen from 19 solids = 19 c 3
33 striped prints can be chosen from 99 striped prints in 9 c 3 ways
33 floral prints can be chosen from 121 floral prints in 12 c 33 ways
So, total ways = (19 c 3) (9 c 3) (12 c 3)
(969) (84) (220)
1,79,07,120
The answer is a total of 9 hours
Answer:
x = 10°
Step-by-step explanation:
8x + 50 = 130 (corresponding angles are equal)
8x = 80
x = 10°