Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
$1.60
Step-by-step explanation:
1 year have 52 weeks.
8.31/52=0.16
0.16*10= 1.60
Answer:
Sphere Formulas in terms of radius r:
Volume of a sphere: V = (4/3)πr.
Answer: 1.509
Step-by-step explanation:
The formula of Margin of Error for (n<30):-
Given : Sample size : n= 22
Level of confidence = 0.99
Significance level : 
Using the t-distribution table ,
Critical value : 
Standard deviation: 
Then, we have
Hence, the margin of error for a 99% confidence interval for the population mean =1.509
