Pleaseee help im really confused

Simplify the function. Than determine the key aspects of the function

Tom [10]

To simplify the function, we need to know some basic identities involving exponents.

1. b^(ax)=(b^x)^a=(b^a)^x

2. b^(x/d) = (b^x)^(1/d) = ((b^(1/d)^x)

Now simplify f(x), where

f(x)=(1/3)*(81)^(3*x/4)

=(1/3)(3^4)^(3*x/4) [ 81=3^4 ]

=(1/3)(3^(4*3*x/4) [ rule 1 above ]

=(1/3) (3^(3*x)

=(1/3)(3^(3x)) [ or (1/3)(27^x), by rule 1 ]

(A) Initial value is the value of the function when x=0, i.e.

initial value

= f(0)

=(1/3)(3^(3x))

=(1/3)(3^(3*0))

=(1/3)(3^0)

=(1/3)(1)

=1/3

(B) the simplified base base is 3 (or 27 if the other form is used)

(C) The domain for an exponential function is all real values ( - ∞ , + ∞ ).

(D) The range of an exponential function with a positive coefficient and without vertical shift is ( 0, + ∞ ).

8 0

3 years ago

Suppose that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to

balandron [24]

Answer:

0.9905,0.9837,0.8066

Step-by-step explanation:

Given that 10% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped).

Each shaft is independent of the other and probability for non conforming is the same for each trial.

Hence X the among these that are nonconforming and can be reworked. is Bin with n =200 and p = 0.10

a) $P(X\leq 30) = 0.9905$

b) $P(X$

c) $P(15\leq x\leq 25)\\= F(25)-F(14)\\= 0.8995-0.0929\\= 0.8066$

6 0

3 years ago

You currently make $18.32 an hour, get time and a half for anything over 40 hours, and a 10% commission on

german

Answer: b

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the area of the parallelogram?

Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

$b=\sqrt{4^2+1^2}$

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion, a parallelogram

A = 7 square units