Answer:
i think the second question (the choose the Function) means choose the function that has changed the most.
the first choose function one, i dont know but... according to wikipedia, "an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem." hope this helps
Step-by-step explanation:
2 pounds ---- 100%
x pounds -----18%
x=(2*18)/100=36/100=0.36 pounds
Answer:
Part A) x=9 and m∠FGH=29°
Part B) m∠HGI=29°
Part C) m∠FGI=58°
Step-by-step explanation:
Part A) Solve for x and find m∠FGH
we know that
m∠FGI=m∠FGH+m∠HGI
If GH bisects FGI
then
m∠FGH=m∠HGI
substitute the values
4x-7=5x-16
solve for x
5x-4x=16-7
x=9
m∠FGH=4x-7
m∠FGH=4(9)-7=29°
Part B) Find the measure of angle HGI
m∠HGI=5x-16
Remember that
m∠FGH=m∠HGI
Verify
m∠HGI=5(9)-16=29° -----> is correct
Part C) Find the measure of angle FGI
m∠FGI=m∠FGH+m∠HGI
substitute the values
m∠FGI=29°+29°=58°
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:
E, 5:2
Step-by-step explanation:
1:2
1/3 x 30 = 10 . 2/3 x 30 = 20
1:1
1/2 x 30 = 15
3:7
3/10 x 30 = 9 7/10 x 30 = 21
4:1
4/5 x 30 = 24 . 1/5 x 30 = 6
5:2
5/7 x 30 = 21.43 (this is a decimal so it does not work)
