Answer:
The idea is to transform the expression by multiplying
with its conjugate,
.
Step-by-step explanation:
For any real number
and
,
.
The factor
is irrational. However, when multiplied with its square root conjugate
, the product would become rational:
.
The idea is to multiply
by
so as to make it easier to take the limit.
Since
, multiplying the expression by this fraction would not change the value of the original expression.
.
The order of
in both the numerator and the denominator are now both
. Hence, dividing both the numerator and the denominator by
(same as
) would ensure that all but the constant terms would approach
under this limit:
.
By continuity:
.
Answer:
15 3/4 pounds
Step-by-step explanation:
4.5*3.5=15.75
Answer:
- Expected Value= -$7
- Bill should not play the game
Step-by-step explanation:
In the game, these are the payout:
- 30% of the time you will lose 20 dollars.
- 20% of the time you lose 40 dollars.
- 10% of the time you win 50 dollars
- 40% of the time you win 5 dollars.
To compute the expected value, take note that a loss is negative while a win is positive.

Therefore:
E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)
E(X)=-7
- The expected value of the event is -$7.
- Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.
The difference between the polynomials is 7y² + 8xy - 3
Polynomials are functions that have a degree of <u>power greater than two.</u>
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According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)
f(x, y) = (7y^2 + 6xy) - (-2xy + 3)
f(x, y) = 7y² + 6xy + 2xy - 3
f(x, y) = 7y² + 8xy - 3
Hence the difference between the polynomials is 7y² + 8xy - 3
Learn more on polynomials here: brainly.com/question/4142886
A. 2 • 1 = 2
b. 2 • 2 - 2 • 1 = 2
d. 2 - 1 = 1
The correct answer is D.