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mel-nik [20]
3 years ago
13

Enter the correct answer in the box by replacing the values of a and b. f(x) = a(b)^x

Mathematics
1 answer:
kherson [118]3 years ago
5 0

Answer:

f(x)= 8(0.5)^x

Step-by-step explanation:

As you can see on the graph there are two specific points labeled:

(0,8) and (1,4)

The 8 would be the initial value and starting point of the "design"

A is always the initial value so replace that.

Then proceed to divide 4 by 8 to figure out the percentage change its 0.5

leave x as it is

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Answers here or on your
AleksandrR [38]

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

6 0
3 years ago
Simplify the expression and explain each step 4(3×+2)-2
kirill [66]

4(3×+2)-2

distribute

12x +8 -2

combine like terms

12x+6

7 0
3 years ago
Read 2 more answers
Which expressions is not equivalent 2x^2+10x+12?
sergeinik [125]

Answer:

C

Step-by-step explanation:

First, factor the original expression:

As we can see, D is the same as above. Eliminate D.

Go through each of the answer choices.

A:

This is equivalent to what we factored. Eliminate A.

B:

This is again equivalent to what we factored. Eliminate B.

C:

This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.

7 0
2 years ago
A car manufacturer rolled out a new car priced at $10,000, but not many people bought it. In the context of supply and demand, h
iogann1982 [59]
It may lower down 
because they wanna get rid of it 
6 0
3 years ago
Read 2 more answers
The volume of the sphere is 500 1 cubic units.
Zigmanuir [339]

Answer:

The Value of X is 5 units

Step-by-step explanation:

4 0
3 years ago
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