Answer: The distance between 7 and 1/13 in fraction form is 5 2/3.
Step-by-step explanation:
Step 1: Remove 1 and 1/3 from 7.
Step 2: 7 - 1 = 6
Step 3: 6 - 1/3 = 5 2/3.
Answer:
8/(x + 2) - 4/(x + 6)
Step-by-step explanation:
4x + 40 = Ax + 6A + Bx + 2B
Equating coefficients of x
4 = A + B (1)
Equating constant terms:
40 = 6A + 2B (2)
Multiply equation (1) by -2:
-8 = -2A - 2B .. (3)
Add (2) and (3):
32 = 4A
A = 32/4
A = 8.
4 = 8 + B
B = 4 - 8
B = -4.
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
For this case we have the following expression:
To verify the answer we have:
Multiplying both sides of the equation by -14:
Thus, the answer can be verified with:
Answer:
