Answer:
- 9/2 x 26/3 = -39
11/6 * -9/1 = <em>-</em>16 1/2
Answer: $70 per year.
Step-by-step explanation:
Let's say that x is the number of years that has passed and y is how much the stamp is worth.
So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .
Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)
To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.
420 - 980 = -560
0-8 = -8
-560/-8 = 70
The rate of change is 70 which means that it grew by $70 every year.
Step-by-step explanation:
3x-3y=4
3y= 3x -4
y= x-4/3
-3x+3y=3
3y= 3x+3
y= x +1
.....
Since they have the same slope and different y-intercepts , then there are no solutions for these equations because they're parallel.
The statement or the choice that states the truth about the two constructed similar circles would be B. The arch length of the larger circle is proportional to the radius of the larger circle. I hope you are satisfied with my answer and feel free to ask for more
Answer:
See below
Step-by-step explanation:
Considering
, then

This is the Cauchy–Schwarz Inequality, therefore

We have the equation

We can use the Cauchy–Schwarz Inequality because
and
are greater than 0. In fact,
. Using the Cauchy–Schwarz Inequality, we have

and the equation holds for


Therefore, once we can write

It is the same thing for cosine, thus

Once


dividing both numerator and denominator by
, we get

Therefore, it is proved that
