help pls!!
A box contains 5 orange pencils, 7 green pencils, and 4 blue pencils what is the probability of randomly selecting a blue pencil from the box??

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

learn more about composition of a function :

https://brainly.com/question/20379727?referrer=searchResults

#SPJ2

Answers and Step-by-step explanations:

9:  (4/6) (-5/8)  

This is just multiplication of fractions, so all you need to do is multiply both numerators by eachother and both denominators by eachother.  Assuming that only the 5 is negative, (this is just an assumption since it's not clear which one is, or you can do the 8,)  You get -20/48, since 4 x (-5) = -20, and 6 x 8 = 48.  Simplify and you get -5/12.  

10:  (3/4) (-1/5)  

Multiply the numerators, (3 and -1), and the denominators, (4 and 5,) to get -3/20.  This is the lowest it can be simplified to, so therefore your answer is -3/20.  

11.  (-1/8) (-6/7)  

Multiply -1 and -6 to get 6, (since two negatives make a positive.)  Multiply the denominators, (8 and 7,) to get 56.  This maks 6/56, which simplifies to 3/28.  

12.  (-4/9) (1/5)  

Multiply the numerators, (-4 and 1,) to get -4.  Multiply the denominators (9 and 5,) to get 45.  Your answer is -4/45.    

I'm really sorry if I'm wrong for anything, hope this helps!  :)

Answer:

18

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

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: -4/3

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

Answer:

i might be compltely wrong but i am geting 24

Step-by-step explanation:i probply am wrong

Answer:

y = 18

Step-by-step explanation:

30² = 24²  + y²

900 = 576 + y²

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

y = 18

The answer is option 3 - 60

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).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ2

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.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

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

:)

Answer:

75%

Step-by-step explanation:

25% of 120=120÷4=3

30/40=75%

Check:

75% of 40=30

Answer:

the answer is d ur welcome.

Answer:

i dont know but i have a pic for u

Step-by-step explanation:

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: 21 Nickels

21 dimes

8 pennies

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

- times + is equal to -

Answer:

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

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:

you would take away the bottom

Step-by-step explanation:

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:

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:

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.