Answer:
Second point (-5/2, -7/2)
First point (3/2, 17/2)
Step-by-step explanation:
We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.
4x2+ 7x -11=y
3x+4=y
Lets use substitute method
4x2+7x-11=3x+4
This can be re arrange as the following eq:
4x2+4x-15=0
A quadratic equation, its solution can be obtained using the below eq.

where a=4, b=4, c=-15.
Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.
By doing the above, we have x=-5/2 and x=3/2
By using x=3/2 in equation of line (3x+4=y) we have y=17/2
First point (3/2, 17/2)
By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2
Second point (-5/2, -7/2)
Those points are the ones where the line and the parabola intercept.
Some satellites are up to 13,482,567 or 30,098,766 or 80,453,872 or even 900,435,879
Answer:
a) 0.75
b)5.05
c)0.02
Step-by-step explanation:
a)
P(Y>5)=?
This part is solved in the given picture.
b)
The mean of a uniform distribution is (a+b)/2.
Where a=4.95 , b=5.15.
E(Y)=(4.95+5.15)/2
E(Y)=10.1/2
E(Y)=5.05.
c)
The variance of a uniform distribution is (b-a)²/2.
V(Y)=(5.15-4.95)²/2
V(Y)=0.2²/2
V(Y)=0.04/2
V(Y)=0.02.