Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span>
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is <span> 1 </span>.
<span><span> -2 + 1 = -1</span><span> -1 + 2 = 1 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
<span>x2 - 1x</span> + 2x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-1)
Add up the last 2 terms, pulling out common factors :
2 • (x-1)
Step-5 : Add up the four terms of step 4 :
(x+2) • (x-1)
Which is the desired factorization
Final result : (x + 2) • (x - 1) • (x - 3) • (2x - 5)
<span>
</span>
For Q2 it is just a simple matter of using a tree diagram for each possible outcome. So there are 4 black balls (B) and 2 white (W) and by using a tree diagram of the possible outcomes it comes to a 3 out of 5 points go to player 1 if B was drawn first and 2 go to player 2. If W was drawn first though, then player 1 gets 1 out of 5 points and 4 goes to player 2 and if you add up the probabilities at the end it comes to player 1 having a 14 out of 30 chance and player 2 having a 16 out of 30 chance therefore player 2 would have a better chance at winning and it isn't a fair game
By the order of operation, we first do the operation in parentheses
( 6 * (2 + 15) ) /3 = (6* 17)/3 = 102 / 3
Then we do the division
Answer = 102 / 3 = 34
Hope that helps!
Yes
Square root of 4 times the square root of 3 is the square root of 12
The square root of 4 is a perfect square which is 2
2x4 is 8
The simplified answer is -8x the square root of 3
Answer:
constant of variation = 1.2
Explanation:
y varies directly with x means that as x increases, y increases and vice versa.
This can be translated into the following equation:
y = kx
where k is the constant of pvariation.
We are given that:
y = 12 when x = 10.
Therefore, we will substitute with these values in the above equation and solve for k as follows:
y = kx
12 = k * 10
k = 12 / 10
k = 1.2
This means that the equation relating x and y is:
y = 1.2x
where 1.2 is the constant of variation.
Hope this helps :)
