Answer:
The last dose will be administered at 6 P.M.
Step-by-step explanation:
This problem can be solved by direct rule of three.
The problem states that each tablet has 75mg of medication, and that every 3 hours, 2 tablets are administered.
So
1 tablet - 75mg of medication
2 tabets - xmg of medication
x = 150mg
It means that in each dose, 150mg of medication are administed.
At 6am, as the first dose is administered, the patient will have taken 150mg of medication. In how many doses will the patient have been administed 750mg?
1 dose - 150mg
x doses - 750mg
150x = 750
x = 5 doses.
The doses are administed in intervals of 3 hours. After the first dose, there will be 4 doses remaining. So it will take 4*3 = 12 hours to administer 4 doses.
So, if the first dose is administed at 6am, the last is going to be administed at 6h+12h = 18h = 6P.M.
Answer:
32
Step-by-step explanation:
Calculation for how much birdseed does she have left over
First step
(3*8*6*12) - 4-2*30
Second step
=[24+6*(10+2)] - 4-60
Third step
Let remove the bracket of (10+2)
=[24+6*10+6*2] - 4-60
Fourth step
=(24+60+12) - 4-60
Fifth step
=(84+12)-4-60
Sixth step
=96-4-60
Seventh step
=92-60
=32
Therefore the amount of birdseed that she have left over will be 32
The vertex is 
Explanation:
The equation is 
To find the vertex, we need the equation in the form of 
Dividing each term by 2 in the equation
Now, completing the square by adding and subtracting 1, we get,
The first three terms can be written as 
,
![f(x)=2[(x+1)^{2}+\frac{1}{2} ]](https://tex.z-dn.net/?f=f%28x%29%3D2%5B%28x%2B1%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%20%20%5D)
Multiplying 2 into the bracket, we get,
This equation is of the form
Now, we shall find the vertex 
Thus, 
and 
Thus, the vertex is
I think it is 124 you would take 31*4
In the standard form of quadratic
the discriminant is
In your quadratic, a = 1, b = -9 and c = -10
Now you need to plug these values into the expression for the discriminant.
