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shusha [124]
3 years ago
14

Write the function below in the form .P=Po^a^t Is this exponential growth or exponential decay? P=2e^-2.2t

Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0

Answer:

  •   P = 2·0.1108^t
  •   decay

Step-by-step explanation:

The multiplying factor (2) remains the same in any form in which the variable stands alone. The base of the exponential term can be determined by separating the parts of the exponent:

  e^(-2.2t) = (e^-2.2)^t = 0.1108^t

Then the function is ...

  P = 2·0.1108^t

_____

This could also be written as ...

  P = 0.1108^(t-0.3151) . . . . . where the variable does not stand alone in the exponent

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     2x = 36
      x = 36/2 = 18
6). x + 26 =12
      x = 12 - 26 = -14
7).  8x + 1 = -23
      8x = -23 -1
      8x = -24
        x = -24/8 = -3
8). 2x + 5 =15
     2x = 15 - 5
     2x = 10
       x = 10/2 = 5
9). 3x - 1 = -29
     3x = -29 + 1
     3x = -28
       x = -28/3 Or 9.33
10). 8x - 12 = 53
       8x = 53 + 12
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4 0
3 years ago
80% of what number is 5
seropon [69]

Answer:

1

Step-by-step explanation:

80% = 0.80

0.80 x 5 = 4

5 - 4 = 1

7 0
3 years ago
Read 2 more answers
The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages 118. How old is Eva?
Alona [7]

Answer:

Eva's age is 44 years

Step-by-step explanation:

Let

x ----> Brita's age

y ----> Eva's age

we know that

The sum or their ages 118

so

x+y=118 ----> equation A

The difference in age between Brita and her daughter Eva is 30 years

so

x-y=30 ----> equation B

Solve the system by elimination

Adds equation A and equation B

x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74

<em>Find the value of y</em>

substitute the value of x in any equation

74+y=118\\y=118-74\\y=44

therefore

Eva's age is 44 years

3 0
3 years ago
Which expression represents the quotient of the model shown? -x2 O x + 3 x - 3 lolo o O -X-3 -x + 3​
Bess [88]

Answer:

<h3>-x+3</h3>

Step-by-step explanation:

Given the expression

-x^2 + x + 3 x - 3

Factorize

(-x^2 + x) + (3 x - 3)

-x(x-1)+3(x-1)

= (x-1)(-x+3)

Hence one of the quotient is -x+3

3 0
3 years ago
Which statement describes the function y=ax^n when a=1 and n is odd?
julsineya [31]
ANSWER

B. The graph is symmetric about the origin

EXPLANATION.

The given function is

y = a {x}^{n}

When a=1,

y = {x}^{n}

Let,

f(x)= {x}^{n}

f(-x)= {( - x)}^{n}

Since n is odd,

f(-x)=-{( x)}^{n}

\Rightarrow f(-x)=-f(x)

This implies that, the function

y={x}^{n}

is symmetric with respect to origin.

The correct answer is B
5 0
2 years ago
Read 2 more answers
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