Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
Answer:
x = 3 n, y = -2 n, n element Z
Step-by-step explanation:
Answer:
Its C but the way I got is too small so I cant really give explanation
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
18 inch diameter = 9 inch radius
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span><span>Sphere Volume = <span> 4/3 * PI * 9^3
</span></span><span>Sphere Volume = <span> 4/3 * PI * 729
</span></span><span><span>Sphere Volume = </span>3,053.628 </span>
