In this problem, you have to find the y- intercept of
. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
Answer:
Circle requires ≈ 20 m of edging
Step-by-step explanation:
A = πR²
R = √(A/π)
C = 2πR = 2π√(A/π)
C = 2π√(30/π) = 19.41625... ≈ 20 m
square needs ≈ 22 m of edging
equilateral triangle needs ≈ 25 m of edging
Answer:
11.5 does
Step-by-step explanation:
Answer:
0.0728177272
Step-by-step explanation:
Given :
Number of flips = 80
Probability of landing on tail at most 33 times ;
Probability of landing on tail on any given flip = 1 / 2 = 0.5
This a binomial probability problem:
Hence ;
P(x ≤ 33) = p(x=0) + p(x=1) +... + p(x = 33)
Using a binomial probability calculator :
P(x ≤ 33) = 0.0728177272
Combine like terms:
3x-2>5x+10 becomes -12 > 2x
Dividing both sides by 2, we obtain x < -6
