Use the app Desmos it’s a graphing calculator! Or you can go to y= if you have a TI-84 plus calculator
Answer:
Step-by-step explanation:
Radius r = 15
Circumference = 2πr = 30π cm
Circumference of cone = arc length of sector
= 30π × 216°/360°
= 18π cm
Radius of base of cone = 18π/(2π) = 9 cm
Slant height of cone = radius of circle = 15 cm
Height of cone = √(15² - 9²) = 12 cm
There is multiple possibilities:
<span>1050 equals 1 times 1050
1050 equals 2 times 525
1050 equals 3 times 350
1050 equals 5 times 210
1050 equals 6 times 175
1050 equals 7 times 150
1050 equals 10 times 105
1050 equals 14 times 75
1050 equals 15 times 70
1050 equals 21 times 50
1050 equals 25 times 42
1050 equals 30 times 35
1050 equals 35 times 30
1050 equals 42 times 25
1050 equals 50 times 21
1050 equals 70 times 15
1050 equals 75 times 14
1050 equals 105 times 10
1050 equals 150 times 7
1050 equals 175 times 6
1050 equals 210 times 5
1050 equals 350 times 3
1050 equals 525 times 2
1050 equals 1050 times 1</span>
Subtract 6 from both sides
15x= 195
Divide both sides by 15
x=13
Final answer: x=13
Check:
15(13)+6
195+6
201
201=201
Answer:
f(x) = (8/3)x(x - 1).
Step-by-step explanation:
The vertex form of the function is
y = a(x - 1/2)^2 - 2/3 where a is some constant.
Now the roots are 0 and 1 so
For x = 0
0 = a(-1/2)^2 - 2/3
1/4 a = 2/3
a = 2/3 / 1/4 = 8/3.
So the function is
f(x) = (8/3)(x - 1/2)^2 - 2/3.
3 f(x) = 8(x - 1/2)^2 - 2
= 8(x^2 - x + 1/4) - 2
= 8x^2 - 8x + 2 - 2
3 f(x) = 8x(x - 1)
f(x) = (8/3)x(x - 1).
