The Associative Property is true for all multiplication problems. This means that this could be written as (5*23)*2, or 5*(23*2), or even 5*2*23.
Answer: ![2x^2+3x-2](https://tex.z-dn.net/?f=2x%5E2%2B3x-2)
Step-by-step explanation:
You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.
Do
. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.
![2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6](https://tex.z-dn.net/?f=2x%5E2%2A%28x-3%29%3D2x%5E3%20-6x%5E2%5C%5C%282x%5E3%20-3x%5E2-11x%2B6%29-%282x%5E3-6x%5E2%29%20%3D%203x%5E2-11x%2B6)
Now do
. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:
![3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6](https://tex.z-dn.net/?f=3x%28x-3%29%3D3x%5E2-9x%5C%5C%283x%5E2-11x%2B6%29-%283x%5E2-9x%29%3D-2x%2B6)
Your final step is to do
. Write this -2 next to your other two parts
Multiply -2 by (x - 3) to get:
![-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0](https://tex.z-dn.net/?f=-2%28x-3%29%3D-2x%2B6%5C%5C%28-2x%2B6%29-%28-2x%2B6%29%3D0)
Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:
times
The bike will cost $481.50
because
10% off of 500 is 50
so 500 - 50 = 450
Now include the sales tax which is
450 * 0.07 = 31.5
Now add the two totals to get
$481.50
Your equation should be 1.50x + 13 = 35.50
first, subtract 13 from both side leaving you with 1.50x = 22.50
now divide 1.50 from both sides
x = 15 (greatest number of rides)
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