Answer:
The second option
Step-by-step explanation:
For this problem, there are multiple ways to solve. The easiest here is the cross method. For ax²+bx+c, you find 2 numbers that multiply to ac and add to b, which you replace b with.
ac in this case is -8×3, which is -24. b in this case is 23.
You can go through the factor pairs of -24 to find the ones that add to b. These pairs are (1 and -24, -1 and 24, 2 and -12, -2 and 12, 3 and -8, -3 and 8, 4 and -6, -4 and 6). The only pair that adds to 23 is 24 and -1.
You sub this into the original equation, making 3x²+24x-x-8.
From there, you factorise, making 3x(x+8)-x(x+8).
This can be factorised further to (3x-x)(x+8) by collecting like terms.
**This question involves factorising quadratics, which you may wish to revise. I'm always happy to help!
Step-by-step explanation:
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Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3
Add '2x' to both the sides
5 - 2x + 2x < 8x + 2x - 3
5 < 10x - 3
Answer:
original height = .2(8) + 13.4 = 15 inches
Step-by-step explanation:
To find the original height you multiply .2 by 8 to see how much was burned and then you add that to whats left (13.4) to give you the original height.
Answer: solanka 6-procentowa=3 kg
solanka 9-procentowa = 6 kg
Step-by-step explanation:
Let solanka 6-procentowa=x kg
Let solanka 9-procentowa = y kg
So x+y=9
=> x=9-y (1)
6%=0.06 9%=0.09 8%=0.08
So pure salt is 0.06*x +0.09*y= 9*0.08 (2)
Lets put 9-y instead x in (2)
0.06*(9-y) +0.09*y=0.72
0.54-0.06*y +0.09*y=0.72
0.03*y=0.18
y=6kg => x=9-y => x=9-6=3 kg
