Hello
Answer: Roshan was facing forward and to the right
Answer:
All real numbers except 3
Step-by-step explanation:
Given
Required
Determine the domain
We start by writing the following inequality
Add 6 to both sides
Divide both sides by 2
<em>As such, the domain of x is all real numbers except 3</em>
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The number of times is n = 20
The probability of getting three or more heads in a row is
The probability of getting three or more heads in a row or three or more tails in a row is
Generally given that it is a fair coin , then
Here P(T) is probability of getting three or more tails in a row
Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as
=>
=>
To answer this question, you should set up and equation before doing anything else. So for this question you 're going to set up two equations.
The first equation is 2x+5y=33
The second equation is 8x+3y=30
Once you do that you have to solve for either X or Y by canceling out the other one. In this problem figuring out the Y is easier because you can cancel the X's more easily than the Y. To cancel a variable, they have to add up to 0.
So to cancel the X you multiply the equation 2x+5y=33 by -4.
That gives you -8x-20y= -132
Then you set up the two equations and add them together.
(-8x-20y= -132) + (8x+3y=30)
That gives you -17y = -102
So then you solve for Y by dividing by -17. You find out that Y is equal to 6. Then you plug the 6 back into the ORIGINAL equations and solve for X, which turns out to be 1.5
Hope this helped and if you get confused or have questions please ask :)
Answer:
B: (x + 2)(x - 3)^2
Step-by-step explanation:
This is only going to have 3 roots. One of them is (x - 3)
D does not look right. So let's solve it using synthetic division.
3 || 1 - 4 -3 18
3 -3 -18
========================
1 -1 -6 0
So what you have is a quadratic
- x^2 - x - 6 = 0 which will factor
- (x - 3)(x + 2) = 0
- x - 3 = 0
- x = 3
- x + 2 =0
- x = - 2
- (x - 3)(x - 3)(x + 2 ) = 0
The answer is B