If f(x) = x-5 and g(x) = 3x2-1,
what is (fºg)(x)?

Answers

Answer 1

Answer:

[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

[tex](f\circ \: g)(x) = 3 {x}^{2} -1 - 5 [/tex]

We have the final answer as

[tex](f\circ \: g)(x) = {3x}^{2} - 6[/tex]

Hope this helps you


Related Questions

while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.On her drawing 2 cm represent 0.5ml. The piers are 12cm apart on tasha's drawing.What is the actual distance, in miles between the two piers?

Answers

Answer:

3ml

Step-by-step explanation:

while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.

Given that On her drawing,

2 cm represent 0.5ml.

The piers are 12cm apart on tasha's drawing.

To calculate the actual distance, in miles between the two piers, first divide the 12cm by 2 cm

12/2 = 6 cm

Multiply the answer by 0.5

6 × 0.5 = 3ml

Therefore, the actual distance, in miles between the two piers is 3ml.

A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period

Answers

Answer:

A model for the basal metabolic rate in kcal h of a young man is

A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.

[tex]\sqrt[3]{-100}[/tex]? Please help.

Answers

Answer:

-∛100Decimal : -4.64158...

Step-by-step explanation:

[tex]\sqrt[3]{-100}\\\\\mathrm{Apply\:radical\:rule}:\\\quad \sqrt[n]{-a}=-\sqrt[n]{a},\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\sqrt[3]{-100}=-\sqrt[3]{100}[/tex]

Write and simplify an absolute value
expression to find the distance between -3
and 8.
-
=[ans]

Answers

Think of it in terms of a number line, the distance between -3 and 8 is the difference which is 8-(-3) = 11

Determine the missing step for solving the quadratic equation by completing the square. 0 = –6x2 + 24x – 5

Answers

Step-by-step explanation:

Check the above photos....

Taila earns d dollars per week. How much does Taila earn in 10 weeks?

Answers

Answer:

[tex]10d[/tex] dollars

Step-by-step explanation:

[tex]d[/tex] is a variable, which is just a placeholder for an unknown value. Therefore, we can treat [tex]d[/tex] as if it's a number.

If you earn a certain amount of dollars per week, and you work for 10 weeks, then to find how much money you earn, you'd multiply the amount of weeks (10) by the dollars per week right?

Same logic applies for variables.

Since we have [tex]d[/tex] acting as a placeholder for the amount earned per week, then the total amount of money earned in 10 weeks is [tex]10\cdot d[/tex], which can just be represented as [tex]10d[/tex].

Hope this helped!

The answer is 10d (10 times d)

What is the length of line segment AB with endpoints
A(3, 1) and B (0, -3)

Answers

Greetings from Brasil...

The expression that allows you to calculate the distance between two points is:

d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]

Bringing to our problem:

d(A; B) = √[(0 - 3)² + (- 3 - 1)²]

d(A; B) = √[(- 3)² + (- 4)²]

d(A; B) = √[9 + 16]

d(A; B) = √[25]

d(A; B) = 5

Find the sum.
185
+ 66

Answers

So all you need to do in order to find the sum is add so 185+66=251

Answer:

251

Step-by-step explanation:

What is the variable in the expression: 3x + 4

Answers

Answer:

x

Step-by-step explanation:

The variable(what we are to solve for) is x

Answer:

The variable in the expression is x

Step-by-step explanation:

A variable is the symbol used, which is usually a letter.

so in this case x is being used to represent something.

express 12/16 in eighths

Answers

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2

What is the circumference of a the circle? D = 14 cm
Round your answer to 2 decimal places.

Answers

Answer:

Hey there!

Circumfrence = 3.14d

Circumfrence = 3.14(14), or 43.96

Hope this helps :)

Combine the like terms to create an equivalent expression: 2s+(-4s)

Answers

Answer:

-2s

Step-by-step explanation:

2s+(-4s)

2s-4s

-2s

Hope this helps ;) ❤❤❤

YEAR 8 ALGEBRA PLS HELP>

Answers

Answer:

Nikki is 16, Travis is 8

Step-by-step explanation:

We need to set up an equation

If x is Nikki's age, then Travis' would x-8 since Nikki is 8 years older.

x+(x-8)=24

2x-8=24

2x=32

x=16

Nikki is 16, Travis is 8

Answer:

the oldest is 16 and the other sibling Travis =8

Step-by-step explanation:

x+y=24

x-y=8  ⇒ x=8+y

solve by substitute

8+y+y=24

2y=24-8

2y=16

y=16/2=8

x=8+y

x=8+8=16

x=16

y=8

it’s kinda urgent lol

Answers

Answer:

60m²

Step-by-step explanation:

my dude you need to know this. A=bh. A=10(6).

60m good luck </3 hghjghghhujg

Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.

Answers

Answer:

20 chickens, 10 rabbits and 20 ducks

Step-by-step explanation:

Let chickens be c, rabbits be r, ducks be d

Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30

As per given  we get below equations:

c + r + d = 50c = d20c + 50r + 30d = 1500

Substitute d:

c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30

Subtract the second equation from the first one:

c = 20

Then:

r = 10d = 20

So animals bought:

20 chickens, 10 rabbits and 20 ducks

At a sale, dresses were sold for $39 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?

Answers

Answer:

65%

Step-by-step explanation:

We're looking for how big a part of the original price the reduced price is.

This can be done using division.

E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.

[tex]\frac{1}{10} = 0.1 = 10\%[/tex]

The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.

Let's try this using our dresses. The reduced price was $39, and the original price was $60.

[tex]\frac{39}{60} = 0.65 = 65\%[/tex]

The dresses were sold at 65% of the original price.

Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.

For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.

[tex]\frac{9}{10} = 0.9 = 90\%[/tex]

[tex]10-9=1[/tex]

[tex]\frac{1}{10}=0.1=10\%[/tex]

Write a polynomial that represents the area of the shaded region

Answers

Answer:

S = 1/2 . x^2 + 11/2 . x + 15

Step-by-step explanation:

- Let S = the area of the shaded region

- From the figure we see that S = 1/2 the area of the rectangle

- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30

--> S = 1/2 (x^2 + 11x + 30)

--> S = 1/2 . x^2 + 11/2 . x + 15

MATH ALG II! Need help quick! Will mark brainliest!

Answers

The right answer is D which is the last choice

Answer: D

Step-by-step explanation:

because yes i solved it

23. Eduardo wants to get a grade of 95 in his math
class. His grade will be the average of three test
scores. He got a 91 on the first test and a 89 on
the second test. Write an equation to represent
the situation. What score will he need on the
third test?

Answers

Answer:

            equation:          (91 + 89 + x):3 = 95

            score needed:        x = 105

Step-by-step explanation:

x - the third test score

average of three it's a sum of the three divided by 3:

(91 + 89 + x):3 = 95

                ×3         ×3

    180 + x  = 285

         -180       - 180

            x = 105

definition of coordinate pair
solving by graphing
solving by substitution
solving by elimination
slope-intercept form
standard form
term
constant
variables
multiplicative combination
m
b​

Answers

Answer & Step-by-step explanation:

definition of coordinate pair

A system and method is provided for converting an input signal from a sequence of rectangular coordinate pairs to a sequence of polar coordinate pairs.

solving by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system

solving by substitution

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

solving by elimination

The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out". ... In order to solve for y, take the value for x and substitute it back into either one of the original equations.

slope-intercept form

the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept

standard form

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.

Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)

term

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

constant

A fixed value.

In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

variables

A symbol for a value we don't know yet. It is usually a letter like x or y.

Example: in x + 2 = 6, x is the variable.

Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.

multiplicative combination

Any of the ways we can combine things, when the order does not matter.

Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry?

Answer: {apple, banana}, {apple, cherry} or {banana, cherry}

When the order does matter, such as a secret code, it is a Permutation.

add 16k to the quotient of 4m divided by 11

Answers

Answer: (16k + 4m)/11

Answer:

[tex]\Large \boxed{\frac{4m}{11}+16k}[/tex]

Step-by-step explanation:

The quotient is the result from division.

4m divided by 11 is:

[tex]\displaystyle \frac{4m}{11}[/tex]

16k is added to the result.

[tex]\displaystyle \frac{4m}{11}+16k[/tex]

Find a possible solution to the equation cos(x+2)= sin(3x)

Answers

Answer:

x = 22

Step-by-step explanation:

Let's say that a & b are complementary angles...

Then cos a = sin b

We can also write sin(3x) as ,

[tex] \sin(3x) = \cos(90 - 3x) [/tex]

Substituting the value of sin(3x) in the question ,

[tex] \cos(x + 2) = \cos(90 - 3x) [/tex]

Cancelling cos from both the sides gives us -

[tex]x + 2 = 90 - 3x\\ [/tex]

Solving this eqn , x = 22

Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x + 2)^2 - 64

Answers

Answer:

-10,6

Step-by-step explanation:

f(x) = (x + 2)^2 - 64

Set equal to zero

0 = (x + 2)^2 - 64

Add 64 to each side

64  = (x + 2)^2

Take the square root of each side

±sqrt(64) = sqrt((x + 2)^2 )

±8 = x+2

Subtract 2 from each side

±8-2 = x

-8-2 =x

8-2 = x

-10,6

PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1

Answers

hi! i believe that the correct answer would be d, a=2, b=5, c=-1

hope this helped!:)

Answer:

[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

2x² + 5 = -x

The quadratic equation is in the form :

ax² + bx + c = 0

Rewriting the equation by adding x to both sides :

2x² + 1x + 5 = 0

The value of a is 2.

The value of b is 1.

The value of c is 5.

[tex]\rule[225]{225}{2}[/tex]

What exactly am I doing wrong with the first one I’m doing the order of operation and I can get the second one no issues I can’t seem to figure out how to do the first one tho

Answers

Answer:

36

Step-by-step explanation:

(4+2)²

4+2=6

6²=36

Answer:

36

Step-by-step explanation:

So we have the expression:

[tex](4+2)^2[/tex]

Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.

So, add within the parentheses first:

[tex](4+2)^2\\=(6)^2[/tex]

Now square:

[tex]=36[/tex]

So our answer is 36.

Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:

[tex](4+2)^2\neq4^2+2^2[/tex]

You cannot do this. This isn't correct. Instead, you must first add and then square.

2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?

Answers

Answer:

dimensions of the phone are 7 inches x 12.44 inches

Step-by-step explanation:

The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.

That is;

Aspect ratio = height/width

Now, we are given;

Aspect ratio = 16:9 or 16/9

Width = 7" = 177.8 mm

Thus;

16/9 = height/177.8

Multiply both sides by 177.8 to give;

Height = (16 × 177.8)/9

Height = 316.089 mm

Converting 316.089 mm to inches gives us 12.44 inches.

Thus, dimensions of the phone are 7 inches x 12.44 inches

Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK

Answers

Answer:

y=10

Step-by-step explanation:

1.7y+37 is 14 less than the value of 9.3y–25

1.7y + 37 = 9.3y - 25 - 141.7y + 37 = 9.3y - 399.3y - 1.7y = 37 + 397.6y = 76y = 76/7.6y = 10

Answer is 10

Answer:

y=10

Step-by-step explanation:

10 x 1.7 = 17

17 + 34 = 51

10 x 9.3 = 93

93 - 25 = 51

Same answer, so y = 10

Which of the following is closest to
0 on the number line?
A) - | -5.1 |
B) 4.7
C) - | - 0.9 | D) - | 6.7 |

Answers

Answer:

C

Let's simplify the answers. Use absolute value.

| -5.1 | = 5.1 - > |5.1| = 5.1

4.7 - > |4.7| = 4.7

| -0.9 | = 0.9 - > |0.9| = 0.9

- |6.7| = -6.7 - > |-6.7| = 6.7

Now, order each from least to greatest.

0.9, 4.7, 5.1, 6.7

Which one is the smallest? 0.9

So, C is correct.

I'm sorry if I misunderstood.

Please rank Brainliest.

Always try your best and have a good day ;) !

3) find different solution
of equation 3x+5=0​

Answers

Answer:

x=3/5

Step-by-step explanation:

3x+5=0

3x=-5

x=-5/3

Answer:

x = 5/3

Step-by-step explanation:

Given equation: 3x-5 = 0

Add both sides by 5, we get

= 3x - 5 + 5 = 0 + 5

= 3x = 5

Divide both sides by 3, we get

3x/3 = 5/3

or, 3x = 5

so, x = 5/3

Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.

Answers

Answer:

[tex]Rate = 8640 fl\ oz/hour[/tex]

Step-by-step explanation:

Given

Rate: 9 gallon in every 8 minutes

Required

Express in fluid ounces per hour

Express rate as follows;

[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]

1 gallon = 128 fluid ounces;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]

1 minutes = 1/60 hour;

So:

[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]

[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]

[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]

[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]

[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]

[tex]Rate = 8640 fl\ oz/hour[/tex]

Other Questions
If f(x) = -6x - 3, find f(x) = 21. Can someone help please. A spherical ball of solid, nonporous naphthalene, a "mothball," is suspended in still air. The naphthalene ball slowly sublimes, releasing the naphthalene vapor into the surrounding air by the molecular diffusion-limited process. Estimate the time required to reduce the diameter from 2.0 to 0.50 cm when the surrounding air is at 347 K and 1.0 atm. Naphthalene has a molecular weight of 128 g/mol, a solid density of 1.145 g/cm3, and diffusivity in the air of 8:19 106 m2=s, and exerts a vapor pressure of 5.0 Torr (666 Pa) at 347 K. Gin Rummy and are holding 10 cards in your hand from a standarddeck of 52 cards. Find the probability t GCF of 12z3, 45z2, and 18z5. What do different proteins do which of the extracts show evidence of bias Which you is formal ? too OOsted Usted tuq Do you prefer online or real school? How do stars form? What color is our sun ? Evaluate 6|5 - c| + 2c when c = 6.61848-24 What is the gradient of a line perpendicular to a line with a gradient of 5? What is the distance between -12 and - 7 on a numberline? Draw what a single chromosome would look like before and after S phase if the chromatin along with its DNA was condensed as it is during mitosis and meiosis Is 1000/1=100 standard form? If not what is its standard form Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What is the smallest positive integer n such that M^n is the identity matrix? a. 2. b. 3. c. 4.d. 6. If humans had been present to build log structures during the Carboniferous period (though they were not!), which plant types would have been suitable sources of logs? nearest thousand of 10391 please give me answer fast The floor of a swimming pool is covered in 525 blue, 300 green and 75 white tiles. What is the ratio of blue to white tiles?What is the ratio of the blue and white tiles Please Help! I'm Stuck!