Answer:

Step-by-step explanation:
Hi there!
Since we are given the slope and the y-intercept of the line, we can very easily identify the equation of the line.
Slope-intercept:
y=mx+b
Plug in the values:

Thus,
is the equation of the line.
Hope it helps! Enjoy your day!
~Just a teen willing to help others :)

Answer:
27/40
Step-by-step explanation:
Find the lowest common denominator
Answer:
(-11 +/- sqrt 21) / 10
or
-0.64 , -1.56 to the nearest hundredth.
Step-by-step explanation:
9v^2 + 11v + 5 = 4v^2
5v^2 + 11v + 5 = 0
Using the quadratic formula:
v = [ - 11 +/- sqrt(11^2 - 4*5*5) ] / 2*5
= (-11 +/- sqrt 21) / 10
= -0.64 , -1.56 to the nearest hundredth.
Answer:
18.0167≤x≤21.9833
Step-by-step explanation:
Given the following
sample size n = 10
standard deviation s = 3.2
Sample mean = 20
z-score at 95% = 1.96
Confidence Interval = x ± z×s/√n
Confidence Interval = 20 ± 1.96×3.2/√10
Confidence Interval = 20 ± (1.96×3.2/3.16)
Confidence Interval = 20 ± (1.96×1.0119)
Confidence Interval = 20 ± 1.9833
CI = {20-1.9833, 20+1.9833}
CI = {18.0167, 21.9833}
Hence the required confidence interval is 18.0167≤x≤21.9833
Answer:
a,d,e
Step-by-step explanation:
75+a1 = 180
so a1=105
a1=x-15
105=x-15
x=120
then using rules of parallel lines with commone intersecting line gives the others.