Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
$2.93/$42= about 7% tax
$58*7%= $<span>4.06 in tax</span>
A. 36 is the correct answer
Formula
Volume = A_base * height
Solution
Synthetic Division always changes signs of the divisor. Also you add whereas in long division you subtract.
-2 || 2 + 9 - 8 - 36
-4 -10 36
===================
2 5 -18 0
You can eliminate A and B. You are never left with the same power at the beginning when you do a division.
What you are left with is
A_Base = 2x^2 + 5x - 18
Answer: D
Answer:
A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded.
Step-by-step explanation:
We want to determine the graph of 
Since we have the sign, 
, we use a closed circle to show that the number 98.6 is included in the domain of definition.
Then since the sign is greater than, we shade to the right of 98.6.
The correct option is A.
