Answer: The slope intercept is at (0,5)
Step-by-step explanation: This is because the line intercepts the y-axis at (0.5).
Answer: 2
Step-by-step explanation:
Given
The polynomial is
is divided by 
According to the remainder theroem

Put
in the polynomial to get the remainder

So, we get the remainder 2.
Answer:
30 Boxes can be made
Step-by-step explanation:
First, determine y-intercept and x-intercept of the line
# y-intercept (when x = 0)
y = 2x - 3
y = 2(0) - 3
y = 0 - 3
y = -3
# x-intercept (when y = 0)
y = 2x - 3
0 = 2x - 3
2x - 3 = 0
2x = 3
x = 3/2
x = 1.5
Second, put y-intercept and x-intercept on cartesian plane, then connect the intercepts
See image attached
Answer:
Step-by-step explanation:
To get the reasonable range of the situation, we will find the minimum value and maximum value of the calories that can be dressed.
The minimum occur at when x = 0
f(0) = 100(0) +50.
f(0) = 50
Hence the minimum value of the calorie is 50.
The maximum value occur at f'(x)
f'(x) = 100
Hence the maximum value of the calorie is 100
Hence, the reasonable range for the situation is 50 ≤ x ≤ 100