Answer:
a) 
Step-by-step explanation:
x + 2 = 3x + 6
-3x - 3x
___________
−2x + 2 = 6
- 2 - 2
_________
4 = −2x
_ ___
−2 −2
[Plug this back into both equations above to get the y-coordinate of 0]; 
I am joyous to assist you anytime.
Answer:
10/13
Step-by-step explanation:
You will first add all the students the mentioned which gives you 13 then since they ask what is the probability it the teacher would pick girls. You know there's 10 girls and 3 boys so it would be 10/13.
Answer:
We want a polynomial of smallest degree with rational coefficients with zeros in 
, 
and -3. The last root gives us the factor (x+3). Hence, our polynomial is
where 
is a polynomial with rational coefficients and roots and . The root gives us a factor 
, but in order to obtain rational coefficients we must consider the factor 
.
An analogue idea works with . For convenience write 
. This gives the factor 
. Hence,
Notice that 
. So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is
Step-by-step explanation:
We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type 
will introduce in the expression, we need to multiply by its conjugate 
. Hence, we will obtain that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.
If each person is painting their own wall that means that it takes each person 41 minutes to paint their wall. That means it would take 41 minutes for 14 people to paint 14 walls.
