Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m =
= 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
Like terms have the same variable and power. The simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.
<h3>What are Like terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
We know that to simplify an expression we need to add or subtract like terms, therefore,

Hence, the simplification of the expression (6x²-3-5x³)-(4x³+2x²-8) is -9x³+4x²+5.
Learn more about Like Terms:
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Add the 2 together
2 2/3 + 2 3/4 you need a common denominator to add fractions
2 8/12 + 2 9/12 = 4 17/12 =
5 5!12 feer
For this problem you would be solving for the area of 3/4 of a circle with the radius being 24ft. So area of a circle is a= PI R squared so plug in 3.14(24)squared order of operations says to square first so 24 squared is 576. Then PI or 3.14 times 576 equals 1808.64
Now because it is only 3/4 of a circle you wil multiply the answer by 3/4 which is 1,356.48 ft. So the Cow has 1,356.48 Ft of grazing area.