6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)
Answer:
Rory has 168 cups of water
Step-by-step explanation:
Since 1 Gallon is equals to 1 cups, multiply it by 10 gallons then add 8 cups to it
<u><em>Hope this helps</em></u>
Let's x represents the first odd integer
The next consecutive integer would be represented as x+2.
So x and x+2 being multiplied together will give us 1443:
(x)(x+2)=1443
x^2+2x=1443
x^2+2x-1443=0
By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.
Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.
With that said you 1st pair will be: 37,39
Your second pair will be: -37,-39.
Answer:
see beleow
Step-by-step explanation:
Let's solve your equation step-by-step.
5.1+2.3x=23.5
Step 1: Simplify both sides of the equation.
2.3x+5.1=23.5
Step 2: Subtract 5.1 from both sides.
2.3x+5.1−5.1=23.5−5.1
2.3x=18.4
Step 3: Divide both sides by 2.3.
2.3x
2.3
=
18.4
2.3
x=8
Answer:
x=8
The volume for a pyramid is

, where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this:

. Simplifying the right side we have

. Multiply both sides by 18 to get rid of the fraction and we have

, so x = 117.575