81 cubic feet are in 3 cubic yards.
Answer:
![y = \frac{1}{5} x - 9](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20x%20-%209)
Step-by-step explanation:
The slope-intercept form is y = mx + b, where:
m = slope
b = y-intercept.
The slope (m) tells you the steepness of the line. It is the average rate of change which measures how the y-value changes for each one-unit change in the x-value. Hence, slope
. So the given slope of 1/5 means that for every 1 unit change in the y-value, the x-value changes by 5 units (you go up 1 unit, and "run" 5 units to the right).
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b). It is also the value of y when x = 0. Since you're given the y-intercept of -9, then that means that it is the y-coordinate of (0, <em>b</em>). So, it becomes (0, -9).
Now that we have our slope (<em>m </em>) = 1/5, and the y-intercept (<em>b </em>) = -9, we can write the equation of the line as:
![y = \frac{1}{5} x - 9](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B5%7D%20x%20-%209)
(I'm also including a screenshot of the line where it shows the y-intercept of (0, -9) on the graph).
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Answer:
9^8
Step-by-step explanation:
9²•9⁶ = 9^(2+6) = 9^8
D is under multiplication
The expression can represent the value of x in terms of R, m, n and k after rearranging.
<h3>What is an expression?</h3>
It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
![\rm R = 4m\sqrt{\dfrac{xn}{k^3}}](https://tex.z-dn.net/?f=%5Crm%20R%20%3D%204m%5Csqrt%7B%5Cdfrac%7Bxn%7D%7Bk%5E3%7D%7D)
Square both side:
![\rm R^2 = 16m^2{\dfrac{xn}{k^3}}](https://tex.z-dn.net/?f=%5Crm%20R%5E2%20%3D%2016m%5E2%7B%5Cdfrac%7Bxn%7D%7Bk%5E3%7D%7D)
16m² x n = R²k³
x = (R²k³)/(16m²n)
The above expression represents the value of x in terms of R, m, n and k.
Thus, the expression can represent the value of x in terms of R, m, n and k after rearranging.
Learn more about the expression here:
brainly.com/question/14083225
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