Y-intercept (0,-6)
X-intercept(-8,0)
Answer:
Expected Value = -$0.41
Step-by-step explanation:
Expected Value = [$6,200*(1/17000) + $940*(3/17000) + $98*(8/17000) + $25*(10/17000)] - 1
Expected Value = [0.59]-1
Expected Value = -$0.41
Answer:
The point x=0 y=4/3 I.e (0,4/3)
Step-by-step explanation:
To find interpoint we use this knowledge
For the same value of x, functions f(x) and g(x) have the same value. So we need to find x. We will find it ftom this equation:
f(x)=h(x) i.e.
-5/3x+4/3=1/5x+4/3
-5/3x-1/5x=4/3-4/3
-28/15x=0
So we can conclude that x=0
So f(0)=h(0)=4/3
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
