11*11=121
14*14=196
14-11=3
121+196=317
The integers are 11 and 14
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer:
1 year: $2060
2 years: $2121.80
3 years: $2185.45
Step-by-step explanation:
Compound interest formula is A = P(1 + 
) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:
First, let's evaluate t for 1, as in one year.
= 2000 x 1.03 = 2060
Two years: 2000 * 1.03 squared = 2121.80
Three years: 2000 * 1.03^3 = 2185.45!
Hope this helps!
Answer:
C. 13
Step-by-step explanation:
Apply pythagorean theorem.
Thus:
Diagonal AV = √(12² + 5²)
AV = √(144 + 25)
AV = √169
AV = 13 cm
Step-by-step explanation:
x²-11x+32=4
x²-11x+28=0
(x-4)(x-7)=0
x=4 or x=7
_______
x²+8x-5=4
x²+8x-9=0
(x+9)(x-1)=0
x=-9 or x=1
_______
x²+x+4=5x+1
x²-4x+3=0
(x-1)(x-3)=0
x=1 or x=3
________
x²+x-24=-8x-2
x²+9x-22=0
(x+11)(x-2)=0
x=-11 or x=2
