Solve each system using a matrix
7x+2y=5
13x+14y=-1Solve each system using a matrix
7x+2y=5
13x+14y=-1
Check out the attached image below. Use polynomial long division (see figure 1) or synthetic division (figure 2) to find that the quotient is x-8
This tells us the slant asymptote is y = x-8
The presence of the slant asymptote means we do not have a horizontal asymptote. As x gets larger and larger, and heads to infinity, then y approaches the line y = x-8; rather than y approaching some single fixed value.
The vertical asymptote is x = -4 because this x value makes the denominator x+4 equal to 0. We cannot divide by zero.
Figure 3 shows the graph, which I have done using GeoGebra (a free graphing tool). This is also attached below.
Answer:
The expression to find Carey's hourly rate is:
. Carey's hourly rate is $10.
Step-by-step explanation:
Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:
![a = \frac{c}{2} + 1](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bc%7D%7B2%7D%20%2B%201)
We want to find the Carey's rate, therefore we need to isolate the "c" variable.
![\frac{c}{2} + 1 = a\\\frac{c}{2} = a - 1\\c = 2*a - 2](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B2%7D%20%2B%201%20%3D%20a%5C%5C%5Cfrac%7Bc%7D%7B2%7D%20%3D%20a%20-%201%5C%5Cc%20%3D%202%2Aa%20-%202)
Since Anderson earns $6, then we can find Carey's rate:
![c = 2*6 - 2 = 12 - 2 = 10](https://tex.z-dn.net/?f=c%20%3D%20%202%2A6%20-%202%20%3D%2012%20-%202%20%3D%2010)
Answer:
Step-by-step explanation:
a) P(K) = 0.7
b) P(R|K) = 1
c) P(K|R) = P(KnR) /P(R)
= P(K) x P(R|K) / ( P(K) x P(R|K) + P(K') P(R|K')
= 0.7 x 1 / ( 0.7 x 1 + (1-0.7) x 1/N)
= 0.7/(0.7 + 0.3/N)
d) P(K|R) > 0.99
0.7/(0.7 + 0.3/N) > 0.99
N > 42.86
N = 43 will be the value of N that will ensure that P(K|R) >99%