Suppose that the exponential growth function is y = 4^x.
If x = 1, then y = 4^1 = 4.
If x = 3, then y = 4^3 = 64.
Let the initial value be 1/2.
The growth function is now y = 1/2 * 4^x.
If x =1, then y = 2 which is half of the y value before adding the 1/2.
If x = 3, then y = 1/2 * 64 = 32.
Answer: 1/2
Answer:
f(- 3) = 18
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x)
f(- 3) = (- 3)² - 2(- 3) + 3 = 9 + 6 + 3 = 18
Answer:
The correct option is B) 
Step-by-step explanation:
Consider the provided function.
and 
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Now Subtract the dividend from the obtained result:

Again divide the leading term of the obtained remainder by the leading term of the divisor: 
Write the calculated result in upper part of the table.
Multiply it by the divisor: 
Subtract the dividend:

Divide the leading term of the obtained remainder by the leading term of the divisor: 
Multiply it by the divisor: 
Subtract the dividend:

Therefore,
Dividend = 
Divisor = 
Quotient = 
Remainder = 0
Dividend = Divisor × Quotient + Remainder

Hence, the correct option is B) 
Answer:
No
Step-by-step explanation:
Because -7/8= -0.875, while 8/-7= -1.142
Answer:
a= 336 different ways
b= 10 possible combinations
Step-by-step explanation:
As it is a definite machine and it must have ordered combinations therefore it is a permutation question . So finding 3 out of eight
8 P 3= 336 different ways the eight machines be arranged in the three spaces available.
Since the parts are randomly selected and there is no distinct pattern therefore combinations is used to solve this.
5C2 = 10 possible combinations of two parts can be selected.