Answer:
n^2 - n - 12 = (n+3)(n-4)
Step-by-step explanation:
3 times - 4 = -12 ( two numbers when multiplied = -12, when added=-1)
3 + -4 = -1
The volume a cylinder is v=(area of base)h and since the area of the base is πr², you can write the equation a v=πr²h. Since the problem wants us to find what be is in the equation of a cylinder as v=Bh, we know that B=πr². The problem gave us the diameter of the circle so we no the radius is going to be the diameter (24) divided by 2 which equals 12. therefore B=12²π.
I hope this helps.
I would start off by taking away 1a. That would make the problem be 56ab3-35b.I only took away 1 because each have at least 1a and is okay to do.
Next I would deal with the variable b. I would cross of 1 b. That's because both sides have at least 1b. Now, it's shortened to be 56ab2-35.
Since you cannot take away anymore variables, you have to deal with 56 and 35. I start small with dividing each by 2. I am trying to see what the greatest number could be while making the numbers still be whole. That turns 56 into 28 when it's cut in half. The 35 now turns into 17.5.
I would assume your teacher would want the numbers to be whole. seeing as though when 35 is cut in half and makes a decimal number, I would leave them. What I mean by that is to leave the numbers as 56 and 35.
So, that means the answer is 56ab2-35.
I hope this helps!! (And makes sense)
Answer:
See explanation
Step-by-step explanation:
We can see that the sequence is 90, 86,82,.......
The common difference is 86 - 90 = -4
82 - 86 = -4
Hence the sequence is arithmetic
The function is;
t(n) = 90 + (n - 1)(-4) = 90 + 4 - 4n
t(n) = 94 - 4n
Since it is AP, we have the sequence as;
90, 86, 82, 78, 74, 70, 66, 62......
He will no longer play football after the eighth quiz.
The total points earned is the sum of the first eight terms of the AP
Sn =n/2[2a + (n - 1) d]
Sn = 8/2[2(90) + (8 - 1) (-4)]
Sn = 608 points