Answer:
5r^3 + 4r^2 - 8r + 16
Step-by-step explanation:
(8 + 5r^3 - 2r^2) - (8r - 8 - 6r^2) =
The first set of parentheses is there just to show you that what is inside is a polynomial. The second set of parentheses has a second polynomial inside. The subtraction sign just to the left of the second set of parentheses shows that you are subtracting the second polynomial from the first one.
The first set of parentheses is not needed and can be dropped.
You are subtracting the second polynomial fromt he first one, so you can think of the the subtraction sign as a -1, and you need to distribute the -1 by the second polynomial, That will result in all signs inside the second set of parentheses changing.
Below, just the first set of parentheses is removed.
= 8 + 5r^3 - 2r^2 - (8r - 8 - 6r^2)
Now, we change every sign inside the second set of parentheses by distributing -1.
= 8 + 5r^3 - 2r^2 - 8r + 8 + 6r^2
Now we need to combine like terms. Like terms have the same variable part. We can rearrange the terms grouping like terms together before combining them. Also, it is customary to list the terms in descending order of degree.
= 5r^3 - 2r^2 + 6r^2 - 8r + 8 + 8
Now we combine like terms.
= 5r^3 + 4r^2 - 8r + 16
Answer:
y=1/3x-3
Step-by-step explanation:
I can't draw the line, but I can turn this into slope-intercept for it to be easier to graph! The equation would look like this:
y=1/3x-3
Hope this helps!! Have a great day! ^^
Answer:
3332
Step-by-step explanation:
SOLUTION:
Let's establish the formula for a cylinder as displayed below:
Let volume of cylinder = V
V = ( Pi )r^2h
Now let's substitute the values from the problem into the formula to find the volume.
V = ?
r = 8
h = 4
V = ( Pi )( 8 )^2( 4 )
V = ( Pi )( 64 )( 4 )
V = ( Pi )( 256 )
V = 256( Pi )
FINAL ANSWER:
Therefore, the answer is:
C. 256( Pi ) units^3
Hope this helps! :)
Have a lovely day! <3
The units of the initial and final rates of speed are;
<u><em>Initial rate of Speed = ft/hr</em></u>
<u><em>Final rate of speed = mi/min</em></u>
- We are told that the conversion factors he used are;
5280 ft/1 mi and 1 hr/60 min
- Now, the meaning of 5280 ft/1 mi denotes that;
5280 ft mile is equivalent to 1 mile
This means that the initial distance <em>unit </em>used was ft while the final one was mile
Also, 1 hr/60 min denotes that;
1 hour is equivalent to 60 minutes.
This means that the initial time units used was hour while the final one was minute.
- In conclusion, since we know the initial time and distance units used, we can say that the initial rate of speed ft/hr while final speed rate was miles/minutes.
Read more at; brainly.com/question/17734333