You have $500 in a savings account. How long will it take to double that
amount at an 8% annual interest rate?

Answer:

A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.

Answer:

Step-by-step explanation:

(f∘g)(x) = f(g(x))

 = f(x²-3)

 = 2(x²-3) + 1

 = 2x² - 5

(f∘g)(-2) = 2(-2)² - 5

  = 2·4 - 5

  = 8 - 5

  = 3

The composition (f ∘ g)(–2) for the functions f(x) = 2x + 1 and g(x) = x2 –  3 will be 3

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)). It means here function g is applied to the function of x. So, basically, a function is applied to the result of another function.

The notation used for composition is: (f o g)(x) = f(g(x))

(fog)(x) = f(g(x))

this implies , (fog)(-2) = f(g(2))

given :

f(x) = 2x + 1

g(x) = x2 – 3

(fog)(x) = f(g(x)) = f(x^2 - 3)

                        =  2 (x^2 -3) +1

                        = 2x^2 - 5                                    equation 1

fog(-2) =  f(g(2))

substituting the value of x = 2 in equation 2

           = 2 * (2)^2 -5

           = 3

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Answer:

i dont know but i have a pic for u

Step-by-step explanation:

Answer: -4/3

Step-by-step explanation: hope this helps :)

Answer:

I'd say it's the first dot in from the left (close to 2.4)

Step-by-step explanation:

the square root of 6 is 2.4494, and that's very close to 2.4

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

Answer:

Step-by-step explanation:

Given that: x  

2

+6x+8

                 =x  

2

+4x+2x+8,        (split middle term)

                 =(x  

2

+4x)+(2x+8),    (group pair of terms)  

                 =x(x+4)+2(x+4),         (factor each binomials)

                 =(x+4)(x+2),              (factor out common factor (x+4)

Hence factors of x  

2

+6x+8 are (x+4)(x+2)

Answer:

18

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Khan Academy

The value of [A] will be 48.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that we have rewritten -

(1/7)ˣ ⁻ ² - (1/7)ˣ  as  [A] x (1/7)ˣ

We have (1/7)ˣ ⁻ ² - (1/7)ˣ  rewritten as [A] x (1/7)ˣ. So, we can write -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

Now, we can write [(1/7)ˣ ⁻ ² - (1/7)ˣ] as :

[(1/7)ˣ / (1/7)²] - (1/7)ˣ

(1/7)ˣ [1/(1/7)² - 1]

We have -

(1/7)ˣ ⁻ ² - (1/7)ˣ = [A] x (1/7)ˣ.

So, we can write -

(1/7)ˣ × [1/(1/7)² - 1] =  [A] × (1/7)ˣ.

On comparing, we  get -

[A] = [1/(1/7)² - 1]

[A] = 48

Therefore, the value of [A] will be 48.

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Answer:

B.) 6

2.) 70

3.) 56

Step-by-step explanation:

B.) 2(6) - 6

= 12 - 6

=6

2.) 7(2(3)+4)

=7(6+4)

=42+28

=70

3.) 10(3) + 4(3) + 14

= 30 + 12 + 14

= 42+14

=56

Have a wonderful day

:)

The answer is option 3 - 60

Answer:

y = 18

Step-by-step explanation:

30² = 24²  + y²

900 = 576 + y²

y = [tex]\sqrt{324}[/tex]

y = 18

Answer:

(0,4)

(1,6)

(2,8)

(3,1)

(4,0)

The required ordered pair mentioned in the mapping diagram is (0,4), (1,6), (2,8), (3,1), and (4,0).

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

A mapping diagram is used to illustrate the relationship between sets of domains and ranges.

here,
From the mapping diagram,
Each arrow represents the ordered pairs,
So,
The ordered pair is given as,
(0,4), (1,6), (2,8), (3,1), and (4,0)

Thus, the required ordered pair mentioned in the mapping diagram are (0,4), (1,6), (2,8), (3,1), and (4,0).

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Answer:

if 170 is subbed for 9, then the answer is 151.111111111(continued) and if its in the 8, then the answer is 191.25

Step-by-step explanation:

hope this helps

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

Answer:

the answer is d ur welcome.

Answer: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

Answer: im thinking it is 5 but i could be totally wrong. im not the smartest lol

Step-by-step explanation:

Answer: She has enough.

Step-by-step explanation:

You need to add up the quantities of water needed first. That will then tell if she has enough water.

Convert the fractions to decimals then add them up:

3/8 = 0.375

1/4 = 0.25

= 0.25 + 0.375

= 0.625 cups of water is required.

This is less than the 1 cup she has so she has enough water to make the snack.

Answer:

Option 3

Step-by-step explanation:

-2/3 since the line is a total of 3 the 2 is negative which would make it the answer meaning that is the only negative option.

Answer:

A. 3x^2+6x is a polynomial

Answer:

i might be compltely wrong but i am geting 24

Step-by-step explanation:i probply am wrong

Answer:

I love Math anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

Subtract 12 from both sides

3x = 42 - 12

Subtract 12 from 42 to get 30

3x = 30

Divide both sides by 3

x = 30/3

Divide 30 by 3 to get 10

x = 10