Step-by-step explanation:
step 1. so you want to graph 2 linear equations?
step 2. y = (-1/3)x + 6. put a dot on the y intercept (0, 6).
step 3. draw the line through (0, 6) with a slope of -1/3 (down 1 and to the right 3).
step 4. y = 3x + 6. put a dot on the y intercept (0, 6).
step 5. draw the line through (0, 6) with a slope of 3/1 (up 3 and to the right 1).
Answer:
Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)
Liam's time was was 1 hour
So in conclusion, Liam was faster
Step-by-step explanation:
We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.
For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.
Hope this helps
Answer:
an = 7 + 5n
Step-by-step explanation:
First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.
We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.
Hence the answer an = 7 + 5n
Answer:
y-intecept: (0,14), x-intercept: (-8,0)
Step-by-step explanation:
Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.
Now we have our y-intercept, 14
To solve for the x-intercept, all we have to do is set y to 0 and solve for x:
Therefore our x-intercept is -8.
To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).
For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)
Answer:
x=2. y=6
Step-by-step explanation:
Step (1)
-6x-3y=-30
-3(-9x-y=-24)
Step (2)
-6x-3y=-30
27x+3y=72
Step (3)
-6x+27x=21x
-30+72=42
Step (4)
21x=42
divide 21 on each side
x=2
Plug x in one of the two equations
to get the y
-6(2)-3y=-30
-12-3y=-30
+12. +12
-3y=-18
divide negative 3
y=6
