A. Is a function B. Is not. The way you tell us you draw straight lines through the graph if any of the lines intersect with the thing plotted more than once it’s not a function, if it only intersects once it’s a function.
Answer:
It will take 5 hours and 5 minutes to fill the tank
Step-by-step explanation:
Here, we want to get the time taken to fill the tap
Let us have the rate per hour
A fills in 6 hours; so the fraction filled in an hour is 1/6
B fills in 8 hours, so the fraction filled in an hour is 1/8
C empties in 10 hours, so the fraction removed per hour is 1/10
So factoring the supply and removal, where removal is on a negative basis
we have it that in an hour, the fraction retained is;
1/6 + 1/8 - 1/10
= (20 + 15 - 12)/120
= 23/120
So this is the fraction retained per hour
The number of hours it will take to have a whole is simply the reciprocal of this fraction
That would simply be 120/23 = 5 5/23
5 hours and 5 minutes
Answer:
7,000 is the answer
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
It would be B because it does to -3
