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sergeinik [125]
3 years ago
13

F(x) = 6 • (0.4)x. then determine which answer choice matches the graph you drew. (Please help)

Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer:B

Step-by-step explanation: It’s a decay function

Anton [14]3 years ago
6 0

Answer:

The correct option is B.

Step-by-step explanation:

The general form of an exponential function is

g(x)=ab^x              .... (1)

Where, a is initial value and b is growth or decay factor.

If b>1, then it is an increasing function and if 0<b<1, then it is a decreasing function.

The given function is

f(x)=6\cdot (0.4)^x           .... (2)

From (1) and (2) it is clear that

a=6,b=0.4

The value of a is 6. It means the initial value or y-intercept of the function is 6.

The value of b is 0.4, which is less than 1. It means the function is a decreasing function.

Graph B represent a decreasing function with initial value 6. Therefore the correct option is B.

You might be interested in
What percent is 27.30 of 36.40 ?
Luden [163]
If you would like to know what percent is 27.30 of 36.40, you can calculate this using the following steps:

x% of 36.40 = 27.30
x/100 * 36.40 = 27.30
x/100 = 27.30/36.40
x = 27.30/36.40 * 100
x = 75

To check: 75% * 36.40 = 75/100 * 36.40 = 27.30

The correct result is 75%. 
7 0
3 years ago
Can you find what each of the answers are
Ksju [112]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

1. Find Angle A :

  • x  + 24 = 3x

  • 3x - x =   2 4

  • 2x = 24

  • x = 12

Angle A :

  • 3x

  • 3 \times 12

  • 36 \degree

2. Find Angle B :

  • 10x - 27 = 7x

  • 10x - 7x = 27

  • 3x = 27

  • x = 9

Angle B :

  • 10x - 27

  • (10 \times 9) - 27

  • 90 - 27

  • 63 \degree

Find Angle C :

  • 5x + 1 = 6x  - 13

  • 6x - 5 x =  1 + 13

  • x = 14

Angle C :

  • 5x + 1

  • (5 \times 14) + 1

  • 70 + 1

  • 71 \degree

Find Angle D :

  • 6x  +  3 = 4x + 39

  • 6x - 4x = 39  -  3

  • 2x = 36

  • x = 18

Angle D :

  • 4x + 39

  • (4 \times 18) + 39

  • 72 + 39

  • 111\degree

And it's given :

  • 36° = Angle A = B

  • 63° = Angle B = A

  • 71° = Angle C = H

  • 111° = Angle D = E

Therefore, the answer will be " BAHE "

4 0
3 years ago
You roll a six-sided die twice. What is the probability of rolling a 3 and then a 5? A) 1 3 B) 1 6 C) 1 12 D) 1 36
Molodets [167]

Answer:

D) 1/36

Step-by-step explanation:

You are trying to roll a 3 the first time, and then a 5 the second time. This means that order matters.

It is given to you, that you are rolling a standard die (6-sides). The dice is ordered in the following: 1, 2, 3, 4, 5, 6

The first time, you are rolling for a 3. Note that there is only one 3 in the sequence, so your chance of rolling a 3 is 1 out of 6: 1/6.

The second time, you are rolling for a 5. Note that there is only one 5 in the sequence, so your chance of rolling a 5 is 1 out of 6: 1/6.

Next, multiply the two fractions together to find the probability of rolling a 3 and then a 5:

1/6 x 1/6 = (1 x 1)/(6 x 6) = 1/36

D) 1/36 is your answer.

~

4 0
3 years ago
Read 2 more answers
4. In Ghana the high temperatures in degrees Fahrenheit for five days in January were -14°
S_A_V [24]

Answer:

69

Step-by-step explanation:

5 0
3 years ago
In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys
marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0
3 years ago
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