Answer: 2500
Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.
Answer:
the slope is "1"
the y-intercept is "5"
y = x + 5
Step-by-step explanation:
In order to find the slope, we use the slope formula with any pair of points, for example: (1, 6) and (3, 8):
slope = (y2-y1) / (x2 - x1)
in our case:
slope = (8 - 6) / (3 - 1) = 2/2 = 1
then the slope is "1".
Now we write the general "slope-intercept" equation of a line using the slope we found:
y = m x + b
y = 1 x + b
and now use one of the points (for example (3, 8) to find the intercept "b":
(8) = 1 (3) + b
8 - 3 = b
b = 5 (y intercept)
Then the equation of the line can be written as:
y = x + 5
Answer:
4 + (3s/10) gallons
Step-by-step explanation:
Originally, there are 4 gallons. Add that to the expression. Every second, 3/10 gallon are filled. So s times 3/10 equal the total number of gallons added. Add both expressions together to get the answer.
The value k = 5 will shift the parent function 5 units up. i.e. vertical shift of 5 units up.
We have the following functions:
f (x) = 3x ^ 2-1
g (x) = x + 2
Adding both functions we have:
(f + g) (x) = f (x) + g (x)
(f + g) (x) = (3x ^ 2-1) + (x + 2)
(f + g) (x) = 3x ^ 2 + x + 1
Answer:
The answer for this case is given by:
(f + g) (x) = 3x ^ 2 + x + 1
option 3