Answer:
24
Step-by-step explanation:
1 / 4 x + 18 = x
x / 4 + 18 = x
x = x / 4 + 18
x - x / 4 = 18
( 4x / 4 ) - ( x/4 ) = 18
( 4x - x ) / 4 = 18
3x / 4 = 18
3x = 18 * 4
x = ( 18 * 4 ) / 3
= 6 * 4
x = 24
A. answer is: y = 13/2 OR you can say 6.5 after you simplyfi
13 over 2
b. answer is: x = 18/4 OR you can say 4.5 after you simplyfi
18 over 4
Thank you :)
bye bye later on x_x
Slope-intercept form : y = mx + b
3) y + 4 = x
So, you need to move 4 to the other side, so that y is by itself.
Subtract 4 from both sides.
y = x - 4
~Hope I helped!~
Answer:
f(-4) = 1
f(0) = 1
f(1) = - 
Step-by-step explanation:
1 if x ≤ -2
f(x) = -(x - 1)² + 2 if -2 < x < 1
- 
x - 1 if x ≥ 1
To find f(-4)
∵ -4 < -2
- That means we will use f(x) = 1 because value of x in this
part is ≤ -2
∴ f(x) = 1
- Substitute x by -4, and remember f(x) = 1 is a constant function
which means the value of y for any value of x is 1
∴ f(-4) = 1
To find f(0)
∵ -2 < 0 < 1
- That means we will use f(x) = -(x - 1)² + 2 because value of x in this
part is between -2 and 1
∴ f(x) = -(x - 1)² + 2
- Substitute x by 0
∴ f(0) = -(0 - 1)² + 2
∴ f(0) = -(-1)² + 2
∴ f(0) = -1 + 2
∴ f(0) = 1
To find f(1)
∵ 1 ≥ 1
- That means we will use f(x) = - x - 1 because value of x in this
part ≥ 1
∴ f(x) = - x - 1
- Substitute x by 1
∴ f(1) = - (1) - 1
∴ f(1) = - - 1
∴ f(1) = -
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm
