An excluded value is one where the bottom of the fraction = 0.
In your case 1-3x=0
1=3x
x=1/3
At this point, the function does not exist. If you were to draw a graph of it, there wouldn't be a y-value corresponding to x=1/3.
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
Price of book in 1938 = $ 0.10
Price of book in 2011 = $ 2,161,000
Number of years over 1938-2011 = 2011 - 1938 = 73
Annual increase in the price = 
⇒ Annual increase in the price = 
⇒ Annual increase in the price = (1.260302283 - 1 ) × 100
⇒ Annual increase in the price = 0.260302283 × 100
⇒ Annual increase in the price = 26.0302283 %
⇒ Annual increase in the price = 26%
Hence, the comic book price increased by 26% annually
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
Regression analysis, is used to draw the line of‘ best fit’ through co-ordinates on a graph. The techniques used enable a mathematical equation of the straight line form y=mx+c to be deduced for a given set of co-ordinate values, the line being such that the sum of the deviations of the co-ordinate values from the line is a minimum, i.e.
The least-squares regression lines is the line of best fit
Answer:
3x-4/14=9/10
You change the subtraction to addition
3x+4/14=9/10
Then you change the fractions to decimals
Step-by-step explanation:
