Answer:
9x² -6xy +y²
Step-by-step explanation:
The square of the binomial can be written directly using the relationship ...
(a +b)² = a² +2ab +b²
where you have a=3x and b=-y.
area = (3x -y)² = (3x)² + 2(3x)(-y) + (-y)²
area = 9x² -6xy +y²
we are given that
f(x) is defined for all values of x except at x=c
Limit may or may not exist
case-1:
If there is hole at x=c , then limit exist
case-2:
If there is vertical asymptote at x=c , then limit does not exist
Examples:
case-1:
We can simplify it
so, we can see that limit exist and it's value defined
case-2:
Left limit is
Right Limit is
so, we can see that left limit is not equal to right limit
so, limit does not exist
We know that 1 ton=2000 lbs
we have 2 tons=4,000 lbs
each crate holds 10 lbs of sugar
4,000/10=400 crates
2b) stretching
2c) it is stretched by a factor of 2 of the parent function f(x)=x
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Answer:
Quarterly saving is $709.13
Interest value is $1,817.40
Step-by-step explanation:
A fix Payment for a specified period of time is called annuity. The Compounding of these payment on a specified rate is known as Future value of annuity.
We can calculate the amount of saving in each quarter Formula for Future value of annuity because we already have future value of $16,000
Future value of annuity = FV = P x ( [ 1 + r ]^n - 1 ) / r
Where
FV = $16,000
r = rate of return = 5%
n = number of years = 5 years 4 quarters each year = 20 quarters
Placing Value in the formula
$16,000 = P x ( [ 1 + 5%/4 ]^20 - 1 ) / 5%/4
$16,000 = P x 22.563
P = $16,000 / 22.563 = $709.13
Interest Amount = Future Value - Total Payment = $16,000 - (709.13 x 20) = $1,817.4
