Hey there!!
How do we find inverses?
In versing is the just the flip-flop of the x and y.
Given equation :
...f(x) = √(2x-6)
... y = √(2x-6)
... x = √(2y-6)
Square on both sides
... x² = 2y-6
... x² + 6 = 2y
... x² + 6 / 2 = y
Inverse :
f(x) = ( x² + 6 ) / 2
( ii ) f(x) = ( x - 2 )³ + 8
... y = ( x - 2 )³ + 8
... x = ( y - 2 )³ + 8
... x - 8 = ( y - 2 )³
... cube root on both sides
... ∛( x - 8 ) = y - 2
... ∛(x - 8 ) + 2 = y
Inverse :
f(x) = ∛( x - 8 ) + 2
Hope my answer helps!!
Answer: C
Step-by-step explanation:
Because there are two pairs of opposite parallel sides, it is a parallelogram.
Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.
Answer:
$28,188.46
Step-by-step explanation:
The formula you need is:
Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years. We are looking for A(t). P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years. Filling in:
Simplifying inside the parenthesis and the exponential multiplication:
Raising the number in parenthesis to the power of 676 gives us:
A(t) = 14,250(1.978137432)
Multiplying then gives us $28,188.46
I believe the normal distribution is symmetrical above and below
the mean. That tells us that in this kind of distribution, the mean
and the median are the same number ... 50% of the population
is below it, and 50% is above it.
So if the female Labs' weight actually follows a 'normal' distribution
with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs
and 2,700 of them weigh less than that.
The standard deviation doesn't matter.
Variables: x, y, z (we should multiply them and put them together )
Then coeffitions, we should multiply them
Now put coeffitions before variables:
