Answer:
Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2
Step-by-step explanation:
Hope It Helps!
Okay. You have 15 lbs of concrete, and x bags that can individually hold 2.5 lbs. What you need to do is divide 15 by 2.5, and the quotient will be 6.
Problem: 15 ÷ 2.5 = 6
So the answer to your problem will be: 6 bags.
Answer:y=5x+30
Step-by-step explanation:
The y-intercept is 30 so it is y=?+30
Then the x changes value at a constant rate of 5
So... it is y=5x+30
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 
Answer:
337.5 mg
Step-by-step explanation:
A licensed nurse practitioner is instructed to give a patient 2700 milligrams of an antibiotic over a period of 48 hours. If the antibiotic is to be given every 6 hours
Hence: the number of doses or times the antibiotic would be administered =
48 hours/6 hours = 8 doses(times)
The amount of antibiotic that should be given in each dose is:
48 hours = 2700 mg
6 hours = x mg
Cross Multiply
48x = 2700 mg × 6 hours
x = 2700mg × 6/48
x = 2700/8
x = 337.5 mg