Answer:
x=4
Step-by-step explanation:
4x+24=8x+2x
4x+24=10x
-4x -4x
24=6x
/6 /6
x=4
This is a ratio.
12 km : 3 h
simplify to-
4km : 1 h
which means the hiker traveled 4 km per 1 hour.
Answer:
10
Step-by-step explanation:
When you sub in the numbers you get 20 divided by 2
Answer:
![(a) x^2-2x=x \times (x+2) \\\\(b) 6x^2+12x=2\times 3 \times x \times ( x + 2) \\\\(c) 3x^3 - 9x=3\times x \times (x^2 -3) \\\\(d) 4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)](https://tex.z-dn.net/?f=%28a%29%20x%5E2-2x%3Dx%20%5Ctimes%20%28x%2B2%29%20%5C%5C%5C%5C%28b%29%206x%5E2%2B12x%3D2%5Ctimes%203%20%5Ctimes%20x%20%5Ctimes%20%28%20x%20%2B%202%29%20%5C%5C%5C%5C%28c%29%20%203x%5E3%20-%209x%3D3%5Ctimes%20x%20%5Ctimes%20%28x%5E2%20-3%29%20%5C%5C%5C%5C%28d%29%204x%5E2%20%2B28%20x%5E3%20%3D%202%20%5Ctimes%202%20%5Ctimes%20x%20%5Ctimes%20x%20%5Ctimes%20%28%201%2B%207x%29)
Step-by-step explanation:
To factorize, at first, do factorize all the terms then take the common terms out.
(a) ![x^2-2x](https://tex.z-dn.net/?f=x%5E2-2x)
This can be written as
![x^2-2x= x\times x + 2 \times x](https://tex.z-dn.net/?f=x%5E2-2x%3D%20x%5Ctimes%20x%20%2B%202%20%5Ctimes%20x)
Now, taking x commom from both the terms.
![x^2-2x=x \times (x+2)](https://tex.z-dn.net/?f=x%5E2-2x%3Dx%20%5Ctimes%20%28x%2B2%29)
(b) ![6x^2+12x](https://tex.z-dn.net/?f=6x%5E2%2B12x)
![=2\times 3 \times x\times x + 2\times 2 \times 3 \times x](https://tex.z-dn.net/?f=%3D2%5Ctimes%203%20%5Ctimes%20x%5Ctimes%20x%20%2B%202%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%20x)
Now, taking
common from both the terms, we have
![6x^2+12x=2\times 3 \times x \times ( x + 2)](https://tex.z-dn.net/?f=6x%5E2%2B12x%3D2%5Ctimes%203%20%5Ctimes%20x%20%5Ctimes%20%28%20x%20%2B%202%29)
This is the required factorization.
(c) ![3x^3 - 9x \\\\](https://tex.z-dn.net/?f=3x%5E3%20-%209x%20%5C%5C%5C%5C)
![= 3 \times x \times x \times - 9\times x \\\\ 3x^3 - 9x=3\times x \times (x^2 -3)](https://tex.z-dn.net/?f=%3D%203%20%5Ctimes%20x%20%5Ctimes%20x%20%5Ctimes%20-%209%5Ctimes%20x%20%5C%5C%5C%5C%203x%5E3%20-%209x%3D3%5Ctimes%20x%20%5Ctimes%20%28x%5E2%20-3%29)
This is the required factorization.
(d) ![4x^2 +28 x^3](https://tex.z-dn.net/?f=4x%5E2%20%2B28%20x%5E3)
![= 2 \times 2 \times x \times x + 2 \times 2 \times 7 \times x \times x \times x \\\\4x^2 +28 x^3 = 2 \times 2 \times x \times x \times ( 1+ 7x)](https://tex.z-dn.net/?f=%3D%202%20%5Ctimes%202%20%5Ctimes%20x%20%5Ctimes%20x%20%2B%202%20%5Ctimes%202%20%5Ctimes%207%20%5Ctimes%20x%20%5Ctimes%20x%20%5Ctimes%20x%20%5C%5C%5C%5C4x%5E2%20%2B28%20x%5E3%20%3D%202%20%5Ctimes%202%20%5Ctimes%20x%20%5Ctimes%20x%20%5Ctimes%20%28%201%2B%207x%29)
This is the required factorization.