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