When we factorise an expression, we are looking for simple factors that multiply to get the original expression. Usually it is very natural to factorise something like a quadratic in x. For example:
x^2 + 3x + 2 = (x+1)(x+2)
But there are other situations where factorisation can be applied. Take this quadratic:
x^2 - 9x = x(x-9)
This second example is closer to the question in hand. Just like x was a common factor to both x^2 and -9x, we are looking for a common factor to both 6b and 24bc. The common factor is 6b.
Hence 6b + 24bc = 6b(1 + 4c).
I hope this helps you :)
X=10
-3 on both sides
Then -6(x+4)+3 to the other side
Answer:
24 bars of treasure
Step-by-step explanation:
You just need to do the opposite in order to find the total value since you divided the treasure up we need to multiply the treasure “back”.
3 buried bars is equal to 1/3 of the remaining treasure. Multiply by 3 to get 3/3 or 100% of buried and crew portion. So we now have 9 bars. Then multiply by 2 to get 100% of what was given to bill, crew and buried. We now have 18 bars. Then we know that we took 1/4 for ourselves so that means 18 bars represents 3/4 of the treasure. So when we look at factors of 18 we find that 3 x 6 = 18 and 4 x 6 = 24 so we conclude that we had 24 bars of treasure before the split.
Answer:
The second one, third one and the fifth one should be correct. (7 to the 18th power divided 7 to the 9th power, 7 to the 3rd power to the 3rd power, and 7 to the 4th power times 7 to the 5th power)
Step-by-step explanation:
7 to the 8th power times 7 equal 40353607 so if you do all the equations shown you can rule out which ones equal 40353607 and which ones don't. Have a nice sleep!
Answer:
The value of y for x = 8 is 60 .
Step-by-step explanation:
Given expression as :
For x = 2 , y = 15
Let the equation be written with constant k'
So, y = k x
Or, k = ![\dfrac{y}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7By%7D%7Bx%7D)
∴ k = ![\dfrac{15}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7B2%7D)
<u>Now, again </u>
For x = 8
equation can be written as
y = k x
Or, y =
× 8
Or, y = ![\frac{15\times 8}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%5Ctimes%208%7D%7B2%7D)
∴ y = 15 × 4
I.e y = 60
Hence The value of y for x = 8 is 60 . Answer