Given:
The quadratic equation is:
To find:
The value of k and 
.
Solution:
We have,
...(i)
Putting 
, we get
Putting in (i), we get
Splitting the middle term, we get
Here, and 
.
Therefore, the required values are and .
1. A. parallel, because when you get y by itself it is y=-2x+7, the two equations have the same slope which means they are parallel.
2. B. sometimes, in order for two lines to be parallel they have to have the same slope so, it is possible that two lines say with a slope of 3, those would be parallel BUT it doesn't always have to have a positive slope for it to be parallel like in question 1.
3. C. never, If they have the same slope they are parallel despite whatever the y-intercept is.
Answer:
dimes: 5
quarters:8
Step-by-step explanation:
she has 2$ in quarters and $0.25 in dimes
One of your friends gives you $10 for a charity walkathon -- this is your beginning amount.
Another friend gives you an amount per mile -- you will to calculate this value.
After 5 miles, you have raised $13.50 total --
-- Since one friend gave you $10.00, subtract this from the $13.50 to give you the amount by walking the 5 miles
-- $10.00 - $13.50 = $3.50
-- Since you walked 5 miles, divide $3.50 by 5 to give you $0.70 per mile earned.
So, an equation that represents the amount of money earned is: y = $0.70x+$10.00.
This is in slope-intercept form; the slope is $0.70 and represents the amount of money earned per mile and the intercept is $10.00 and represents the initial amount of money that you were given.
Selection D is the equivalent form of the given expression.
_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
