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Sophie [7]
2 years ago
6

Which function represents exponential decay?f(x)=1/2(2)xf(x)=3/4(-1/5)xf(x)=(7/2)xf(x)=2(2/3)x

Mathematics
2 answers:
Ber [7]2 years ago
6 0

Answer:

the answer is d i just did it and got it right

Step-by-step explanation:

nasty-shy [4]2 years ago
3 0

Answer: The answer is (D) f(x)=2(\dfrac{2}{3})^x.

Step-by-step explanation:  We are to select the correct function which represents exponential decay.

We know that an exponential decay is represented by the function with base less than 1.

For example, if we consider the following exponential function:

f(x)=b^x,

then f(x) will show exponential growth if b > 1 and exponential decay is b < 1.

Among the given functions, f(x)=2(\dfrac{2}{3})^x represents exponential decay, because the base is 0.66, which is less than 1.

Thus, (D)  f(x)=2(\dfrac{2}{3})^x. is the correct option.

The graph of this resultant function is attached, which clearly represents exponential decay.

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A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 1
Nadya [2.5K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

Years of experience (X) :

1

3

3

5

7

8

10

10

12

12

Annual sales (Y) :

85

97

95

97

105

106

122

120

113

134

The estimated regression equation obtained is :

y = b0 + b1x

b0 = 82.82967

b1 = 3.46061

ŷ = 3.46061X + 82.82967

The change in annual sales for every year of experience is given by the slope value, b1 = 3.46061 = 3.5 (1 decimal place)

The Coefficient of determination R² = 0.8477 = 0.848 ( 3 decimal place).

The Coefficient of determination gives the proportion of explained variance.

About 84.8% percent variation in annual sales can be explained by years of experience of the sales person.

Using the regression equation :

ŷ = 3.46061X + 82.82967

Years of experience, x = 8

ŷ = 3.46061(8) + 82.82967 = 110.514

111 = (to the nearest whole number)

4 0
3 years ago
Calculate the mean given the frequency table
ratelena [41]

Answer:

15.6

Step-by-step explanation:

First, multiply the midpoint of each class by its frequency, as follows:

            Class      midpoint   frequency   midpoint*frequency  

            0-9         4.5             24                4.5*24 = 108

            10-19      14.5            20                14.5*20 = 290

            20-29    24.5           32                24.5*32 = 784

Total                                      76               1182

The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.

mean = 1182/76 ≈ 15.6

 

5 0
3 years ago
Help me in both please it’s a test and i need help
nataly862011 [7]

1. -2x + 3y + 5

A. -x + -x + y + y + y + 1 + 1 + 1 + 1 + 1

B. -x + -x + 2y + y + 4 + 1

D. -5x + 3x + 4y - y + 4 + 1

2. -$40 + 100 = $60 - $50 = $10

Cindy currently has $10 left in her bank account.

5 0
2 years ago
PLEASE HELP! Given the function f(x) = 3x2 − 4, what is f(-2)?
EleoNora [17]

Answer: Variant C


Step-by-step explanation:

f(x) = 3x^2 − 4

For finding f(-2) just replace x with - 2 like this:

f(-2)=3*((-2))^2-4=3*4-4=12-4=8

5 0
3 years ago
A road sign casts a shadow that is 4 feet long.At the same time a 6 foot man standing next to the sign casts a shadow that is 2.
lawyer [7]
The road sign would be 10ft tall.
3 0
3 years ago
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