We can first factor all the terms by 2:
<span>6x^2 - 10x - 4=2(3x^2-5x-2)
</span>
Then we solve 3x^2-5x-2=0.
Discriminant : 25+4*3*2=49=7^2 hence the roots are (5-7)/6 and (5+7)/6 which are -1/3 and 2
Hence 3x^2-5x-2=(x-2)(3x+1)
Thus 6x^2-10x-4=2(x-2)(3x+1)
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Answer:
5:1
Step-by-step explanation:
Since there are 4 counselors, the other 20 people are campers. You divide 20 by 4 (to determine how many campers equal 1 counselor) and you get 5. So 5:1
Remember the distributive property? It goes like x(a+b)=xa+xb... For example 3(6+7)=(3*6)+(3*7)=39
Same here
5(3x-6)-8(3x-7)
do the thing
(15x-30)-(24x-56)
Take parentheses off.
15x-30-24x+56
//WHY PLUS 56 NOT MINUS?
//because there was a minus sign outside the original parentheses, so the signs inside have to be flipped when the parentheses is taken off
//Let's simplify now
15x-24x-30+56
-9x+26
^^The answer!