Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?A. all real numbers
B. all real numbers less than 0
C. all real numbers greater than 0
D. all real numbers less than or equal to 0

Answers

Answer 1
Answer: The right answer for the question that is being asked and shown above is that: "D. all real numbers less than or equal to 0." This is the statement that best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis
Answer 2
Answer: The correct answer is:

D) all real numbers less than or equal to 0.

Explanation:

When you reflect a function across the x-axis, you negate every y-coordinate in the function.

In our original function, our y-values will all be positive.  Reflecting this across the x-axis will make all of the y-values negative; this means the range, or set of y-values, will be less than or equal to 0.

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If a regular polygon has 16 sides, how many lines of symmetry can it possibly have?

Answers

Answer:

The possible line of symmetry that a regular polygon of side 16 has is:

16

Step-by-step explanation:

The relationship that holds between the number of line of symmetry and the number of sides in a regular polygon is:

Number of lines of symmetry in a regular polygon is equal to the number of sides of the regular polygon.

Here we are given that a regular polygon has 16 sides.

This means that the number of line of symmetry in this given regular polygon is:

16

16 lines of symmetry. Hope this helps! - Apex

Simplify 2m - [n - (m - 2n)]. -3m - n 3m - n -3m - 3n 3m - 3n

Answers

If you would like to simplify 2m - [n - (m - 2n)], you can do this using the following steps:

2m - [n - (m - 2n)] = 2m - [n - m + 2n] = 2m - n + m - 2n = 3m - 3n

The correct result would be 
3m - 3n.

Answer:

to simplify 2m - [n - (m - 2n)], you have to go though this steps:

2m - [n - (m - 2n)] = 2m - [n - m + 2n] = 2m - n + m - 2n = 3m - 3n

Step-by-step explanation:

A ball is dropped and bounces to a height of 5 feet. The ball rebounds to 70% of its previous height after each bounce The function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is

Answers

Answer:

T_n = 7.143(0.7^n)

Step-by-step explanation:

If a ball bounces to a height of 5feet, the initial drop = 5feet

If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;

= 70% of 5

= 70/100 * 5

= 0.7*5

= 3.5 feet

The next height will be 0.7*3.75 = 2.45 and so on

The  heights wil form a sequence as thus;

5, 3.5, 2.45...

This sequence forms a geometric progression.

To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence

T_n = ar^(n-1)

a is the first term of the sequence

n is the number of terms

r is the common ratio

From the sequence:

a = 5

r = (3.5)/(5) = (2.75)/(3.5) = 0.7

Substitute the given values into the formula

T_n = 5(0.7)^(n-1)\nT_n = 5((0.7^n)/(0.7^1) )\nT_n = (5)/(0.7)* 0.7^n \nT_n = 7.143(0.7^n)

The nth tern=m required is T_n = 7.143(0.7^n)

The function that models the nth term in the sequence of heights of the ball after the initial drop is an = 5 * 0.7(n-1)

The sequence of heights of the ball can be modeled using a geometric sequence, since the ball rebounds to 70% of its previous height after each bounce. The formula for a geometric sequence is:

an = a1 × r(n-1)

where an represents the nth term in the sequence, a1 is the initial term (in this case, the height of the first bounce), and r is the common ratio (in this case, 0.7). So, the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is:

an = 5 × 0.7(n-1)

Learn more about Geometric sequence here:

brainly.com/question/34246122

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Holly has 56 peices of paper and 8 paper clips. If she clips the same amount of paper together with each paper clip, how many peices will be clipped together with each paper clip?

Answers

Answer:

56/8 = 7 pieces of paper

Step-by-step explanation:

Answer:

56/7=7

Step-by-step explanation:

Welcome

Which is the value of this expression when a=5 and k=-2

Answers

The answer is C. Hope this helps!

C) 25/9

I just took the quiz on edge

Question number 4 please help

Answers

(x^2+x-30)/(x^2-3x+2)\n\nx^2-3x+2=0\n\nx^2-x-2x+2=0\n\nx(x-1)-2(x-1)=0\n\n(x-1)(x-2)=0\iff x-1=0\ \vee\ x-2=0\n\nx=1\ \vee\ x=2\n\nAnswer:For\ x=1\ or\ x=2.