Answer:
-2
Step-by-step explanation:
The equation of a straight line is given by:
y = mx + b
where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.
Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:
0.75y + 1.5x = 12
0.75y = -1.5x + 12
y = -2x + 16
Hence comparing with y = mx + b, the slope of the budget line is -2
Answer:
Step-by-step explanation:
The 3 angles must add up to 180. So
6x + 4x + 2x = 180
12x = 180
x = 15
Plug this into all the angles and you have your answers
Answer:
Average rate of change in amount of the element over 10 minutes is 0.15 per minute.
Step-by-step explanation:
Given question is incomplete; find the attachment of this question attached with the answer.
In this experiment change in amount of the element has been plotted on y-axis and duration (time) on x-axis.
Change in amount of the element during 0 to 10 minutes = 1.5 units
Now the duration of this change in amount = 10 minutes
Therefore, rate of change in amount of the element =
= 0.15 units per minute
Answer:
21.07 ft²
Step-by-step explanation:
Radius = 7
Length of the rectangle = 2 * 7 = 14 ft
Area of rectangle = 14 * 7 = 98 ft²
Area of semicircle = π(7)²/2 = 76.93 ft²
So the are of shaded region = 98 - 76.93 = 21.07 ft²