Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
If he runs 5 kilometers in 30 minutes, at that rate he would run 10 kilometers in an hour.
so 10 kilometers per hour is his speed
Your basically building a new equation with the two functions given to you.
(sqrt(3x + 7)) + (sqrt(3x - 7)) = 0
Then just open up the brackets and simplify further.
sqrt(3x + 7) + sqrt(3x - 7)= 0
Nothing to special really happened there, just removed the brackets. Now you move one of the radicals to the other side so you can square the whole equation.
sqrt(3x + 7) = - sqrt(3x - 7)
Then go ahead and square both sides to remove the radical.
3x + 7 = 3x - 7
Now if you kept trying to isolate x, you find that both sides will just cancel each other out and you are left with,
7 = -7
Since that statement isn't true your answer will be that there is no solution to this equation.
x ∈ Ø
Answer:
2½
Step-by-step explanation:
First find the Least Common Denominator [LCD], which is 6, then convert 5⅙:
5⅙ → 4 7⁄6

You see, we regrouped 1 from 5⅙ to make sure that the top mixed number had a higher value than the bottom mixed number, so it is much easier to work with.
I am joyous to assist you anytime.
The movie that this comes from is Twin Peaks