Answer:
Step-by-step explanation:
When you go shopping for anything, you know that the more of that something you buy, the more money you are going to spend. In other words, the amount of money you spend depends directly upon the amount of stuff you buy. So the number of boxes of cookies you buy is the independent variable and the amount of money you spend on the cookies is the dependent variable.
Answer:
sorry im on a time lapse, so the answer is 2 1/2. hope it helps
Step-by-step explanation:
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
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Y = 2x + 5
If you take the height at 10 days, 25 centimeters, after 10 more days the height is 45 centimeters, meaning for those 10 extra days the been plant grown 20 centimeters. Since we're told the plant is growing at a constant rate, this shows the bean plant is growing 2 centimeters per day. We can represent this with y = 2x. (After 10 days, the bean plant will be 20 centimeters, after 20 days, the bean plant will be 40 centimeters, etc.)
However, this is not completely true yet. As you can see, after the first 10 days the plant is not 20 centimeter, it's 25 centimeters. We already know the rate in which the plant is changing, but now we need to find the height that the plant was originally, before it started growing.
After the first 10 days, the plant is 25 centimeters tall. Since we know that the plant is growing 2 centimeters per day, we can subtract 20 from 25 to find the original height of the bean plant.
25 - 20 = 5
The bean plant was originally 5 centimeters.
This makes our final equation y = 2x + 5.
2x is the slope, and 5 is the y intercept.
Hope this helps1!
Answer:
The volume would be 31 cubic feet.
Step-by-step explanation:
To find this, use the formula for the area of a right pyramid.
A = 1/3bh
A = 1/3(8)(12)
A = 1/3(96)
A = 32
