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DIA [1.3K]
3 years ago
11

The set of ordered pairs represents a function. Write a rule that represents the function. ​(0,0​), ​(1​,4​), ​(2​,16​), ​(3​,36

​), ​(4​,64​)
Mathematics
1 answer:
faust18 [17]3 years ago
5 0
First, we have to notice that 0 = (2*0)^2
and 4 = (2*1)^2
and 16 = (2*3)^2
and 64 = (2*4)^2
The y value is always the square of twice the x value or,
y = (2x)^2   or   y = 4x^2
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. What is the equation for the asymptote of the function <br> f(x)=2^x?
Nadya [2.5K]
The functin f(x) = 2^x is an exponential function.

It does not have vertical asymptotes because the function is defined for all the real  values.

To find the horizontal asymptotes calculate the limits when the function grows positively and negatively.

The limif of 2^x when x goes to + infinity is infinity so there is not asymptote to this side.

The limit of 2^x when x goes to - infinity is 0, so y = 0 is an asymptote.

Answer: the equation for the asymptote is y = 0.
4 0
4 years ago
A population doubles in size every 30 years. What is its continuous growth rate? Express your answer to the nearest 0.0001 perce
IrinaVladis [17]

Answer: 2.3374%

Step-by-step explanation:

x=continuous growth rate.

x^30=2

x=1.023373892

1.023373892-1=0.023373892

0.023373892*100=2.3373892%

2.3373892%=2.3374%

8 0
2 years ago
The expression below is the factorization of what trinomial?
AlekseyPX

Answer:

-x^2 - 2x + 48

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
11) (-2x) (-1 + 9x) - 4x (4 + 5x)<br>12) 3 (-5x - 3) + 4 (6 - 3x)
jok3333 [9.3K]

Answer:

11) -14x-38x2 (squared)

12) 27x+15

Step-by-step explanation:

1. distribute the negative 2, distribute the negative 4, combine like terms

2. distribute the 3 to the parenthesis and distribute the 4 as well then combine like terms

4 0
3 years ago
Suppose the adult population of Micronesia is 100,000 people. Of these 100,000 people, 20,000 are not in the labor force. Of the
QveST [7]

Answer:

b. 6.25%

Step-by-step explanation:

In order to obtain the unemployment rate in Micronesia, you have to divide the amount unemployees that still in the labor force between the amount of people in the labor force.

The labor force is defined as the number of people employed plus the unemployed people who are seeking work.

The number of people employed is the people who work part time plus the people who are fully employed (the remainder of the 80,000 people). Therefore:

14,000 + (80,000 -16,000 - 4,000 - 14,000)

14,000+46,000=60,000

The number of unemployed people who are seeking work is:

4,000

The labor force is:

60,000 + 4,000 = 64,000

The unemployment rate is:

4,000/64,000 = 0.0625

Multiplying by 100 to obtain the percentage:

0.0625(100)=6.25%

7 0
3 years ago
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