Answer:
1/2
Step-by-step explanation:
quadratic equation is ax²+bx+c=0
Products of roots is c/a
Sum of roots is -b/a
On comparing the above equation with general equation we have
a=1
b=-(3k)
c=-(k+2)
Now it is given that sum of roots and product of roots is equal
So,
-b/a=c/a
-b=c
-[-(3k)]=-(k+2)
3k=-k-2
3k+k=-2
4k=-2
k=-1/2
37 1/2 divided by 2 1/2=15
Marco can fill 15 cups with juice samples.
Check:
2 1/2x15=37 1/2
Answer:
30 gallons per minute
Step-by-step explanation:
the answer is 30 gallons per minute
<u>The concept:</u>
We are given the equation:

Which can be simplified as:

Since any number to the power '0' is 1
x² - x must be equal to 0 for the given equation to be true
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<u>Solving for x:</u>
x² - x = 0
x(x-1) = 0
now, we can divide both sides by either x OR x-1
So we will see what we get for either choice:
x = 0/(x-1) x-1 = 0/x
x = 0 x = 1
Hence, the value of x is either 0 or 1