Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
Simplify;
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
Substitute in point (3, -3)
Answer:
1/6
Step-by-step explanation:
first of all find the LCD of 3 and 2. The LCD would be 6.
2/3(2/2) - 1/2(3/3)
4/6 and 3/6
then you will subtract 4 and 3 and you end up with 1/6
Answer:
E. 44 meters
Step-by-step explanation:
The function that models the distance covered by the object is
where s(t) is in meters and t is in seconds.
The distance covered by the object after 1 second is
The distance covered by the object after 1 second is
The distance covered between 1 second and 5 seconds is
50-6=44m
In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is
Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get
And that's the amount remaining in the card after 1 week .
Answer:7.25
Step-by-step explanation: when you multiply 7.25 both sides the 7.25 on the left will cancel out the 7.25x leaving x = 29
