30x³ + 35x² + 10x factorised is 5x(2x + 1)(3x +2). To find this, you first want to take out a common factor to be left with a quadratic equation. In this case, we can factor out 5x to be left with 6x² + 7x + 2.
Now we can factorise 6x² + 7x + 2 by finding factors of 6 that add together to make 7 when one of them is multiplied by 2. These are 3 and 2, which is how we end up with (2x + 1) and (3x + 2). Let me know if you would like me to go more indepth about how I found this.
Then you just put these with the 5x and you get 5x(2x + 1)(3x + 2), which are possible expressions for the length, width, and height.
I hope this helps!
A 25% discount.
Discount = 25/100 Price
New Price = 75/100 price
Old Price = New Price + Discount.
Hey there!
(f * g)(6) is equal to x(x-1) × 3x.
So, let's plug in 6 for x.
(f * g)(6) = 6(6-1) × 3(6)
Subtract inside parenthesis.
(f * g)(6) = 6(5) × 3(6)
Multiply.
(f * g)(6) = 30 × 18
Multiply again.
(f * g)(6) = 540
Hope this helps!
B. 12
First you pick a location and then a direction.
I decided to start from the left and then go right. Then set up my ratio as
2/3=8/x
Then you cross multiply.
2*x=2x. 8*3=24
2x=24
Divide 2 on both sides
X=12
20% of 3km is 0.6 Kilometer
