Answer:
√6
Step-by-step explanation:
We have to find the value of the expression
.
Let,
⇒
{Squaring both sides. Since (a + b)² = a² + b² + 2ab}
⇒
{Since (a + b)(a - b) = a² - b²}
⇒ 
⇒ 
⇒ A = √6 (Answer) {Neglecting the negative root as the original expression is positive}
Option C
The explicit formula for the arithmetic sequence is 
<em><u>Solution:</u></em>
Given that the arithmetic sequence is:
3, -3, -9, -15, -21, ...
To find: Explicit formula for the arithmetic sequence
<em><u>The nth term of an arithmetic sequence is given by:</u></em>

Where
is nth term of sequence
n is the term's location
is the first term of sequence
d is the common difference between terms
In an arithmetic sequence, the difference between successive terms is constant. This means that we can move from any term to the next one by adding a constant value.
In the given sequence:
3, -3, -9, -15, -21, ...

d = difference between any two terms in sequence

d = -3 - (3) = -6
Substituting the values in above formula,

Thus the explicit formula to find any term in sequence is found
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The solution region is above the line with positive slope, and below the line with negative slope. It will be in the left quadrant of the X made by the crossing lines. The line with positive slope is steeper.
There are 431 females
785-77=708
708/2=354
354=males
354+77=431
431=females
to check work do 431=354 and that equals 785
Answer:
€75.80
Step-by-step explanation:
Start with €467.
End up with €88.
Total amount withdrawn:
€467 - €88 = €379
The total amount was withdrawn in 5 equal amounts.
Each amount taken is:
€379 ÷ 5 = €75.80