Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?A) f(x) = abx
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x

Answers

Answer 1

Answer:

Answer: The answer is (D) $f(x)=a^((1-b)x).$

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

$f(x)=a^(bx).$

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

Answer 2

Answer: the correct function is D

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Alessandro wrote the quadratic equation –6 = x2 4x – 1 in standard form. what is the value of c in his new equation?

Answers

Standard form for quadratic equations is:

0 = ax² + bx + c

To make Alessandro's first equation in standard form, you must make the constant on the left side of the equation 0.

To do this, we should add 6 to each side to cancel out the -6 on the left side of the equation, making its value 0.

Alessandro's new equation is:

-6 + 6 = x² + 4x - 1 + 6

If we simplify this equation, we get:

0 = x² + 4x + 5

Therefore, knowing that the equation above is in the form ax² + bx + c, we can determine that the value of c in Alessandro's new equation is 5.

Answer:

c=5

Step-by-step explanation:

The reciprocal of of 1 over 5

Answers

The reciprocal of 1/5 is: 5/1 or just 5.

To get the reciprocal of a fraction, it basically just means to flip the numbers. If you're dealing with a whole number (such as 5 in this case), you would divide 1 by the number, making it 1/5.

How to graph polygons on a coordinate plane

Answers

Graph the vertices (the points) of the polygon, then connect them using straight lines.

A single fair is tossed. find the probability of rolling a number grater than 4

Answers

Probability of the outcome you're looking for =

(number of ways your outcome can happen)
divided by
(total number of possible outcomes) .

Total number of possible outcomes when a single fair is tossed = 6 .

The outcomes you're looking for: 5 or 6 . (two of them) .

Probability = 2 / 6 = 1/3 = 33-1/3 %

Consider the leading term of the polynomial function. What is the end behavior of the graph?4x5 + 1x
a)Since n is odd and a is positive, the end behavior is up and down.
b)Since n is odd and a is positive, the end behavior is down and up.
c)Since n is odd and a is positive, the end behavior is down and down.
d)Since n is odd and a is positive, the end behavior is up and up.

Answers

odd functions go up and down in the ends
even function either go up on both ends or down on both end ,

so i think the answer would be :
since n is odd and a is positive , the end behavior is up and down

hope this helps

Answer: Since n is odd and a is positive, the end behavior is down and up.

Which choice is equivalent to the expression below when x 0?√18X^30-√9X^3+3√X^3-√2X^3

A.2√2X
B.4√X
C.2X√2X
D.√10X^3

Answers

$√(18x^3)-√(9x^3)+3√(x^3)-√(2x^3)\n\n=√(9x^2\cdot2x)-√(9x^2\cdot x)+3√(x^2\cdot x)-√(x^2\cdot2x)\n\n=3x√(2x)-3x√(x)+3x√(x)-x√(2x)=2x√(x)\n\nAnswer:C.$