The solution set is basically when are they equal. to figure this out we must set them equal. So so we will move some stuff around
x+y=5
y=5-x
y=x^2-25
we know that when they are equal their x and y values are equal. So so we know that their y values are the same so we can say:
y=y
this does not direarly help but looking above we know what both of the y's equal. so:
5-x = x^2-25
we want to set this equal to zero
0 = x^2 +x - 30
now we factor
0 = (x + 6) * (x - 5)
the only way to multiply 2 things together and get zero is for one of those things to equal 0. So so we know that to be zero one of the answers in parenthesis has to equal 0. so:
0 = (x + 6 =0) * (x - 5=0)
So now we solve for both parenthesis
x+6=0
x=-6
x-5=0
x=5
x=-6,5
Probability Trees - See linked image
A good visual method for this is a probability tree.
Each set of branches represents the probabilities of on coin being removed, the second set is out of 9 as the first coin is taken and not replaced.
Multiply along the lines to work out the probability of each of the combinations.
*Even though only 'Dime Dime' is needed, it is best to do all of them as this way you are able to get all marks in an exam; you can also add up all the final values as a check to see if you are right.
Answer: (3, 5)
<u>Step-by-step explanation:</u>
y = x + 2 is already in Slope-Intercept format
- b = 2: Plot +2 on the y-axis
- m = 1: Count up 1 and right 1 from "b" to plot the next point
y = -x + 8 is already in Slope-Intercept format
- b = 8: Plot +8 on the y-axis
- m = -1: Count down 1 and right 1 from "b" to plot the next point
See attached graph
Answer:
D
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given is a non homogeneous second degree equation as

Auxialary equation is

Hence general solution is
x = Acos 2t + B sin 2t
Particular integral is = 
Since t has coefficient 1, we substitute

Hence full solution is
