Answer:
-2+11x
Step-by-step explanation:
Combine like terms
(-5+3)+(x+10x)
-5+3 = -2
x+10x = 11x
-2+11x
To solve this I'm going to split the middle term.
First multiply the first and last terms:
24x^2
So find two numbers that multiply to 24x^2 and add to 11x.
This would be 3x and 8x
Rewrite the problem as
4x^2+3x+8x+6
Take the first and 3rd and 2nd and 4th terms
4x^2 and 8x
and
3x and 6
Factor by grouping
Take out a 4x for the first group to get 4x(x+2)
Take out a 3 for the 2nd group to get 3(x+2)
Rewrite as (4x+3)(x+2)
Hope this helps.
<h2>
Hello!</h2>
The answer is:
The third option:
2.7 times as much.
<h2>
Why?</h2>
To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.
So, calculating we have:
Old can:
Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

Where,

We are given the old can dimensions:

So, calculating the volume, we have:

We have that the volume of the old can is:

New can:
We are given the new can dimensions, the diameter is increased but the height is the same, so:

Calculating we have:

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:
2.7 times as much.
Have a nice day!
Y = 2x - 8 is perpendicular to 6x+12y=24 and passes through (4,0)
Y should also be halved.
For example, if x=4 and y=2, x=2y.
If x is halved for x=2, you get 2=2y, or y=1, which is still one half of x, so the proportion remains the same.