This is the new one! Please help I’m so lost

This Is The New One! Please Help Im So Lost

Answers

Answer 1

Answer:

(a) (f o g)(x) =  x^2 - 15x + 54

(b) (g o f)(x) = x^2 + 3x - 9

(c) (f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d) (g o g)(x) = x - 18

Step-by-step explanation:

f(x) = x^2 + 3x

g(x) = x - 9

(a)

(f o g)(x) = f(g(x)) = (g(x))^2 + 3(g(x)) = (x - 9)^2 + 3(x - 9)

(f o g)(x) = x^2 - 18x + 81 + 3x - 27

(f o g)(x) = x^2 - 15x + 54

(b)

(g o f)(x) = g(f(x)) = f(x) - 9 = x^2 + 3x - 9

(c)

(f o f)(x) = f(f(x)) = (x^2 + 3x)^2 + 3(x^2 + 3x)

(f o f)(x) = x^4 + 6x^3 + 9x^2 + 3x^2 + 9x

(f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d)

(g o g)(x) = g(g(x)) = x - 9 - 9 = x - 18


Related Questions

Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 1

First: distribute 3(x+1)= -2(x-1)+6

3x+3=2(x-1)+6

Then you have too distribute again

3x+3=2(x-1)+6

3x+3= -2x+2+6

Third: add the numbers

3x+3= -2x+2+6

3x+3= -2x+8

Fourth: add the same term to both sides of the equation

3x+3= -2x+8

3x+3-3= -2x+8-3

Fifth: Simplify 3x= -2x+5

Sixth: add same term to both sides of the equation

3x= -2x+5

3x+2x= -2x+5+2x

Seventh: simplify again

5x =5

Eigth: divide both sides of the equation by the same term

5x=5

5x/5 =5/5

Last: Simplify

X=1

Parabolic microphones are used for field audio during sports events. The microphones are manufactured such that the equation of their cross section is x=1/34y^2, in inches. The feedhorn part of the microphone is located at the focus

a. How far is the feedhorn from the edge of the parabolic surface of the microphone?

b. What is the diameter of the microphone? Explain your reasoning

c. If the diameter is increased by 5 inches, what is the new equation of the cross section of the microphone?​

Answers

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

Which data set has the greatest spread for the middle 50% of its data?
OA
{18, 13, 22, 17, 21, 24}
B.
{17, 19, 22, 26, 17, 14}
OC. {13, 17, 12, 21, 18, 20)
OD.
{18, 21, 16, 22, 24, 15)

Answers

Answer:

b

Step-by-step explanation:

the answer is b because b have the greatest spread for the middle 50%

I hope this was helpful

The answer is (17, 19, 22, 26, 17, 14) which is b

4 Points
is
For the function y = 3x + 5
what is the output of the
function if the input is 10?

Answers

Answer:

[tex]35[/tex]

Step-by-step explanation:

One is given the following function ([tex]y=3x+5[/tex]). The given problem asks one to find the output of the function when the input is (10). Keep in mind, a general rule for dealing with functions is that, when present, the variable (x) represents the input. Whereas the variable (y) represents the output. Thus, if one were to substitute (10) in place of (x), and simplify: the result one would get is the output. Apply this idea to the given scenario:

[tex]y=3x+5[/tex]

[tex]y=3(10)+5[/tex]

[tex]y=30+5[/tex]

[tex]y=35[/tex]

1. Escribe las razones de los siguientes enunciados: a. En una clase de un colegio cada pelota es utilizada por cada equipo de cinco niños, o sea que tenemos cinco alumnos por cada pelota de fútbol. b. En un estacionamiento hay coches de fábricas asiáticas y de fábricas americanas. En total hay 3060 coches, de los cuales, 1740 son de fabricación asiática y el resto, 1320, son de fabricación americana. (es urgentee.. Es para una tarea)

Answers

Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

Answer ASAP, will give brainliest

Answers

Answer:

Step-by-step explanation:

1) Diagonal bisect the angles of Rhombus

∠CAB = ∠CAD

CAB = 71

2) ∠DAB = ∠CAB + ∠CAD

 ∠DAB = 71 + 71 = 142

In Rhombus, adjacent angles are supplementary

∠DAB + ∠ABC = 180

142 + ∠ABC = 180

           ∠ABC = 180 - 142

         ∠ABC = 38

3)  In rhombus, opposite angles are congruent

∠ADC = ∠ABC

∠ABC = 38

In rhombus, diagonal bisect angles

∠BDC = (1/2)*∠ADC

∠BDC= 38/2

BDC = 19

4) Diagonals bisect each other at 90

∠DEC = 90

5) Diagonals bisect each other

BE = DE

BE + DE = DB

7x -2 +7x -2 =24   {add like terms}

        14x - 4 =24

              14x = 24+4

              14x = 28

                 x = 28/14

                 x = 2 m

6) AB = 13m

BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m

In right angle ΔAEB,  {use Pythagorean theorem}

AE² + BE² = AB²

AE² + 12² = 13²

AE² + 144 = 169

         AE² = 169 - 144

         AE² = 25

         AE = √25

        AE = 5 m

Diagonals bisect each other

AE = EC

AC = 2*5

AC = 10 m

7)Side = 13 m

Perimeter = 4*side

                  = 4*13

 Perimeter = 52 m

8) d1 = AC = 10 m

   d2 = DB = 24 m

Area = [tex]\frac{d_{1}*d_{2}}{2}[/tex]

         [tex]=\frac{10*24}{2}\\[/tex]

          = 10 *12

          = 120 m²

15=3y+7.y= please help me with my assignment i havelike 57 more questions to answer and 10% im trying by myself to solve the rest are kinda difficult

Answers

Answer:

8/3  or 2.67 to nearest hundredth.

Step-by-step explanation:

15 = 3y + 7

15 - 7 = 3y

3y = 8

y = 8/3

please help, i really dont understand this. will give brainliest.
There are 6 dogs and 5 cats.

Answers

Answer:

13) 11C5 or 11C6 = 462

14) it appears to be only 1

DCDCDCDCDCD

15) 9 choose 6 or 9 choose  3 = 84

Step-by-step explanation:

The height of a building model is 2% of its actual height. If the building
model is 3 feet tall, how tall is the actual building?

Answers

Answer:

x = 150 feets

Step-by-step explanation:

Given that,

The height of a building model is 2% of its actual height.

The building model is 3 feet tall, h = 3 feet

We need to find the height of the actual building. Let it is x.

According to question,

h = 2% of x

We have, h = 3 feet

So,

[tex]x=\dfrac{h}{2\%}\\\\x=\dfrac{3}{2/100}\\\\x=150\ \text{feet}[/tex]

So, the actual height of the building is 150 feets.

How would you write The product of 2 and the difference of a number and 9

Answers

Answer:

[tex]\large \boxed{2(x-9)}[/tex]

Step-by-step explanation:

Let the number be x.

The product of 2 and the difference of x and 9.

“product” is multiplication.

“difference” is subtraction.

[tex]2 \times (x-9)[/tex]

The mathematical expression is 2(n - 9) if the product of 2 and the difference of a number and 9.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The product of 2 and the difference of a number and 9.

Let the number is n; n is the real number.

The difference of a number and 9 = n - 9

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

The product of 2 and (n - 9)

= 2(n - 9)

Thus, the mathematical expression is 2(n - 9) if the product of 2 and the difference of a number and 9.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

PLZ HELP!!!! ASAP !!!!

Answers

Answer:

(A)

Sin á = a/c

Cos ∅ = a/c

Tan á = a/b

(B)

Sin á = a/c

Cos á = b/c

Tan á = a/b

Therefore á=

(inverse sin) a/c

Or

(Inverse cos) b/c

Or

(Inverse tan) a/b

(C)

If b = 12 and c = 13

then a =√(c²-b²)

= 5

Hence 5/13 = a/c

Therefore sin á = cos ∅ = a/c = 5/13

pls help me due tomorrow

Answers

Answer:

Step-by-step explanation:

f(x) = 2x - 4

g(x) = 1/2x - 4

6)

f(4) means that wherever you see an x on the right, you put a 4.

f(4) = 2x - 4

f(4) = 2*4 - 4

f(4) = 8  - 4

f(4) = 4

7)

g(x) = 1/2x - 4

g(2) = 1/2(2) - 4

g(2) = 1 - 4

g(2) = - 3

8)

f(-5) = 2*-5  - 4

f(-5) = -10 - 4

f(-5) = -14

9)

g(-6) = 1/2 ( - 6) - 4

g(-6) = -3 - 4

g(-6) = - 7

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy? A. 3 B. 5 C. 15 D. 17

Answers

Answer: B. 5

===================================================

How I got this answer:

j = 6 because you bought 6 bottles of juice

We use this to find the value of w

3w + 4j = 39

3w + 4(6) = 39 ... j replaced with 6 since j = 6

3w + 24 = 39

3w + 24-24 = 39-24 ... subtract 24 from both sides

3w = 15

3w/3 = 15/3 ... dividing both sides by 3

w = 5

------------

If j = 6, then w = 5

To check this, we plug both values into the equation and we should get 39 on both sides

3w + 4j = 39

3(5) + 4(6) = 39

15 + 24 = 39

39 = 39 ... true statement; answer is confirmed

What is the value of r?

Answers

Answer:

r = 11

Step-by-step explanation:

Hi there!

This scenario represents a linear relation, given the equation [tex]m=rp+k[/tex].

Linear equations are typically written in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept. As you can see, [tex]y=mx+b[/tex] and the given equation [tex]m=rp+k[/tex] share the same form.

This makes r the slope. This is also stated in the question, as r is the amount of money ($) paid per page.

The ordered pairs in the table represents points on a graph, if we were to graph this. For example, (9, 308) and (12, 341) both fall on the graph of this relation.

To solve for r, we must solve for the slope using the slope equation:

[tex]r=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

We can use any two points from the table in this equation. For example, (9, 308) and (12, 341):

[tex]r=\displaystyle \frac{341-308}{12-9}\\\\r=\displaystyle \frac{33}{3}\\\\r=11[/tex]

Therefore, the value of r is 11.

I hope this helps!

I need help ASAP!! Finding the angle Please help me

Answers

Answer:

Does the answer help you?

[tex]\\ \sf\longmapsto Sin\Theta=\dfrac{P}{H}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{49}{52}[/tex]

2decimal places:-

[tex]\\ \sf\longmapsto sin\Theta=0.94[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin71°[/tex]

[tex]\\ \sf\longmapsto \Theta=71°[/tex]

Or

[tex]\\ \sf\longmapsto cos19°[/tex]

1decimal place:-

[tex]\\ \sf\longmapsto sin\Theta=0.9[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin70[/tex]

[tex]\\ \sf\longmapsto \Theta=70°[/tex]

Or

[tex]\\ \sf\longmapsto cos20°[/tex]

Emília ganhou 350 reais de sua avó. Com esse dinheiro, ela comprou um sapato, e uma roupa que custou o dobro do preço do sapato. Os 200 reais que sobraram foram depositados por Emília em sua conta poupança.

Qual é a equação eu permite determinar o preço x, em reais, que Emília pagou por esse sapato?

A) x + 2× = 350
B) x + 2× 200 = 350
C) x + (x + 2) + 200 = 350
D) x + ײ + 200 = 350

Answers

The answer is going is B: x + 2 x 200 = 350

What are three collinear points on line l?

points A, B, and F
points A, F, and G
points B, C, and D
points B, F, and G

Answers

Answer:

Points A, F, and G are three collinear points on line l.

Step-by-step explanation:

Answer:

Points A, F and G

Step-by-step explanation:

what is 40-32divited by8=5x-2

Answers

4.


40-32 is equal to 8.

8=5x-2 is equal to 2.


8/2 is 4.

Given two consecutive integers whose sum is 92, find the larger of the two integers.

Answers

Maybe i can help u (x+2)

answer to question 3 please ?

Answers

Answer:

Step-by-step explanation:

Equation for the height of a plant is,

h = 0.5d + 4

Function representing he height 'f(x)' of a plant with respect to time 'x' (in days) will be,

f(x) = 0.5x + 4

[By substituting the input values of x we get the output values of 'y' from the given equation]

Table to plot the points on the graph will be,

x       0           1           2          3           4          5          6

f(x)    4         4.5        5         5.5         6         6.5        7

Now plot these points on graph as given in the attachment.

Which is the graph of y = [x]-2?
Please please helped timed 20points

Answers

Answer:

3rd graph

Step-by-step explanation:

Factorise using suitable identities (0.1x-0.2y)^2 plzzz help!!!!!

Answers

Answer:

0.1  exponent2  ( x − 2 y )  exponent 2

Step-by-step explanation:

Please help! I have an answer but idk if it's right so please check and tell me if I made any mistakes! Thank you!

Answers

Answer:

p(1)=2-a+4-4

or,10=2-a

so,a=-8

Step-by-step explanation:

hope it helps you

1. A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?
10 m
4 m
8 m
6 m
12m

Answers

The answer needs the volume of the original pyramid minus the small pyramid cut off.
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3

The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4

If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)

If you are brave you could point this out to your teacher

The volume of the frustum that is shown in the diagram is: C. 256 m³.

What is the Volume of Frustum?

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.

Find the volume of the original (bigger) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)

Volume of rectangular pyramid = 336 m³

Find the volume of the smaller (the top that was removed) rectangular pyramid:

Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)

Volume of rectangular pyramid = 80 m³

The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.

Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.

Learn more about volume of frustum on:

https://brainly.com/question/1641223

If no grouping symbols or exponents are in an expression, then do _____ first.

Answers

multiplication or division i believe

22. Find the area of circle with radius 7cm ( π) ​

Answers

Answer:

Sol:Here

Radius (R) =7cm

Area of circle (A) =pie*r^2

=22/7*7^2

=3.14*7^2

=3.14*49

=153.86

Answer:

A=49πcm²

Step-by-step explanation:

A=πr²

Given r=7,A=π(7²)=49πcm²

Part 1: You work 4 hours and earn $36. What is your earning rate (dollars per hour)?​

Answers

Answer:

9 dollars per hour

Step-by-step explanation:

36/4=9

Answer:

9

Step-by-step explanation:

4 hours : $36

1 hour : $ x

we need to find x so,

4 hours ÷ 4 = 1 hour

1 : $

since we have divided 4 by 4,

we need to do that to 36 aswell

36  ÷ 4 = 9

1 hour : $9

solve the equation 2x+1=x-3​

Answers

How to solve your problem

Topics: Algebra, Quadratic Equation

2

+

1

=

3

2x+1=x-3

2x+1=x−3

Solve

1

Subtract

1

1

1

from both sides of the equation

2

+

1

=

3

2x+1=x-3

2x+1=x−3

2

+

1

1

=

3

1

2x+1{\color{#c92786}{-1}}=x-3{\color{#c92786}{-1}}

2x+1−1=x−3−1

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

4

2x=x-4

2x=x−4

3

Subtract

x

x

from both sides of the equation

2

=

4

2x=x-4

2x=x−4

2

=

4

2x{\color{#c92786}{-x}}=x-4{\color{#c92786}{-x}}

2x−x=x−4−x

4

Simplify

Combine like terms

Multiply by 1

Combine like terms

=

4

x=-4

x=−4

Solution

=

4

Find the exact value of cos A in simplest radical form.

Answers

Answer:

[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]

Step-by-step explanation:

Since we are finding cos A we have

[tex] \cos(A) = \frac{AC}{AB} [/tex]

From the question

AC = √96

AB = 14

Substitute the values into the above formula

That's

[tex] \cos(A) = \frac{ \sqrt{96} }{14} [/tex]

We have the final answer as

[tex] \cos(A) = \frac{2 \sqrt{6} }{7} [/tex]

Hope this helps you

36. Given that y varies directly with x,
what is the equation of direct variation
if y is 3 when x is 7?

Answers

Answer:

A. y = 3/7x

Step-by-step explanation:

Direct variation: y = kx

3 = 7k

k = 3/7

y = 3/7x

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