Answer:Theo worked for 10.5 hours.
Kade worked for 16.5 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)
Have a good day.
Step-by-step explanation:
Hi.
You could use the percent change formula.
Since we know it is a percent increase then we will do new-old instead of old-new:
x is the new amount of shampoo.
16.5 is the original amount (old) of shampoo.
The percent increase is 30%=0.30 .
So we have the following equation:
We could have found the equation like this:
Subtract 16.5 on both sides:
Divide both sides by 16.5:
By us of symmetric property of equality:
Answer:
Step-by-step explanation:
33.414−33.36
=33.414−33.36
=33.414+−33.36
=0.054
Answer:
Roughly 16 million bacteria.
Step-by-step explanation:
Multiply the rate of the bacteria going through mitosis times the amount of daughter cells per hour, for this case.
<em>r x (m)ms x hr</em> <em>= </em>bacteria in one day
Hope this helps!
<em>note: ms and hr are millisecond and hour</em>
