Answer:
A
Step-by-step explanation:
Using the formula y=mx+b we see the b (the y intercept) is at -1. Only answer choice A and B have a y intercept at -1. Now we check which one of those will correspond with the negative slope. A is negative and B is positive --> A is the correct answer choice.
Answer:
solution is attached in the picture below
Step-by-step explanation:
Wow that is hardddddddddddddddddddddddddddddddddddddddd
means to say that for any given 
, we can find 
such that anytime 
(i.e. the whenever 
is "close enough" to 5), we can guarantee that 
(i.e. the value of 
is "close enough" to the limit value).
What we want to end up with is
Dividing both sides by 3 gives
which suggests 
is a sufficient threshold.
The proof itself is essentially the reverse of this analysis: Let be given. Then if
and so the limit is 7. QED
Answer:r = 2.81 centimeters
Step-by-step explanation:
The area of this circle can be found using the formula
A=πr^2
Where r = radius of the circle
π is a constant whose value is 3.14
We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula
r^2 = A/π
Taking square root of both sides of the equation,
r = √A/π
Since A = 25 and π = 3.14,
r= √25/3.14
r = 2.82166323992
Approximating to the nearest tenth of a centimeter,
r = 2.81 centimeters
