The y intercept is (0,-5)
The maximum is at (3,4)
There are two real solutions (roots)
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
This is a ratio problem. If dry ing : water = 5 : 2, what is water when dry ing = 15?
The new ratio is 15 : water. How do we get from the first ratio to the new one? We multiply by 5. Meaning, we also need to multiply the 2 quarts of water by 5, giving us 10 quarts of water.
Answer:
x=5
Step-by-step explanation:
Congruent triangles mean they have the same side lengths, so the equation here is x^2-7=4x-2. Then, solve the quadratic equation:
x^2-7=4x-2
x^2-4x-5=0
(x-5)(x+1)=0
x=5,-1
Since a side of a triangle can't be negative, the answer is 5.
Answer:
60
Step-by-step explanation:
220*2 = 440
+ 220/2 = 550
