Answer:
x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
Step-by-step explanation:
Solve for x:
x^2 - 5 x + 2 = 0
Subtract 2 from both sides:
x^2 - 5 x = -2
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 17/4
Write the left hand side as a square:
(x - 5/2)^2 = 17/4
Take the square root of both sides:
x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2
Add 5/2 to both sides:
Answer: x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2
Use distributive property to solve.
2x(5x+3) + 7(5x+3)
1. distribute
2x•5x = 10x^2
2x•3= 6x
10x^2+6x
7•5x = 35x
7•3= 21
35x+21
2. combine like terms
10x^2+6x+35x+21
10x^+ 41x +21 [final answer]
Answer:
The answer is B - A high correlation between two or more independent variables.
Step-by-step explanation:
There are many factors that shows the possible presence of multicollinearity in a regression analysis. Multicollinearity occurs when independent variables in a regresssion model are correlated; the independent variables as their names implies is to be fully independent (on their own).
Based on the options; multicollinearity occurs when there is a high correlation between two or more independent variables.
Jacob has the faster time because if you make the fractions equal you would make the denominators equal by rounding 3/4 to have a denominator of 12 making it 9/12 which is larger then 5/12 making Daniel's time slower then Jacob's.
8 am at 0
8:18 at 4.5
8:48 at 7.5 miles ???
18 min = .3 hour
48 min = .8 hour
in first .3 hours speed = 4.5/.3 = 15 mph
in next .5 hours = speed = 3/.5 = 6 mph
average speed for the whole trip = 7.5 miles/.8 hours = 9.375 mph