Answer:
205
Step-by-step explanation:
When the diameter is 10 m the volume is <span>523.6 m^3</span>
Answer:
3(2x^2-3x+14)
Step-by-step explanation:
6x^2-9x+42
All three terms have a common factor of 3
3(2x^2-3x+14)
Now let's focus on 2x^2-3x+14 and bring down the factor 3 later
so a=2
b=-3
c=14
Let's try to find two factors for ac that multiply to be a*c and add up to be b.
ac=28
b=-3
-----
ac=7(4)=14(2)=8(2)
Even if I made these pairs with both negatives nothing would give me -3
So you can only go as far as 3(2x^2-3x+14)
Here is another thing to help you if you have ax^2+bx+c and b^2-4ac<0 then it can't be factored (over reals)
Answer: x = t, y = 2t/3 + 2
Step-by-step explanation:
You want to write both x and y in terms of t
so if you rearrange 4x - 6y = -12 you get
-6y = -4x - 12
6y = 4x + 12
y = 2x/3 + 2
set x = t
and y = 2t/3 + 2
and that's it!
another one you could do is
x = t/2
y = t/3 + 2
or even
x = 3t/2
y = t + 2
i like this one the most because it looks more elegant
Answer:
Step-by-step explanation:
a1 = - 2
an = a1 * r^(n - 1)
a6 = -486
-486 = - 2 * r^(6-1) Divide by 2
243 = r^5
The largest value that r could be is 3.
4^5 = 1024
(243)^(1/5) = 3
So the general formula
an = -2*(3)^(n - 1)