Answer:
lesser x = -6
greater x = 12
Step-by-step explanation:
(x - 3)^2 - 81 = 0
(x - 3)^2 = 81
x - 3 = +/- 9
x - 3 = 9 or x - 3 = -9
x = 12 or x = -6
Answer:
2 x^2 - 3 x + 6
Step-by-step explanation:
Simplify the following:
-(3 x^2 + 4 x - 17) + 5 x^2 + x - 11
-(3 x^2 + 4 x - 17) = -3 x^2 - 4 x + 17:
-3 x^2 - 4 x + 17 + 5 x^2 + x - 11
Grouping like terms, 5 x^2 - 3 x^2 + x - 4 x - 11 + 17 = (5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17):
(5 x^2 - 3 x^2) + (x - 4 x) + (-11 + 17)
5 x^2 - 3 x^2 = 2 x^2:
2 x^2 + (x - 4 x) + (-11 + 17)
x - 4 x = -3 x:
2 x^2 + -3 x + (-11 + 17)
17 - 11 = 6:
Answer: 2 x^2 - 3 x + 6
Answer:
<h2><em>
$23.5</em></h2>
Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
<em>Hence Gene expected cost will be $21.5</em>
Answer:
Diameter: 4
Radius: 2
Equation: ( x-3 ) + ( y + 2) = 4
Expand everything in the limit:
We have 
approaching 0, and in particular 
, so we can cancel a factor in the numerator and denominator:
Alternatively, if you already know about derivatives, consider the function 
, whose derivative is 
.
Using the limit definition, we have
which is exactly the original limit with 
. The derivative is 
, so the value of the limit is, again, -14.
