f(x) = 2x² + 4x - 5
g(x) = 6x3 – 2x2 + 3
Find (f – g)(x).
A. (f – g)(x) = –6x3 + 4x2 + 4x – 2
B. (f - g)(x) = 6x + 4x – 2
C. (f - g)(x) b= 6x? – 4x² - 4x + 8
D. (f - g)(x) = –6x2 + 4x2 + 4x – 8

F(x) = 2x + 4x - 5g(x) = 6x3 2x2 + 3Find (f G)(x).A. (f G)(x) = 6x3 + 4x2 + 4x 2B. (f - G)(x) = 6x +

Answers

Answer 1

The required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Given the following functions

f(x) = 2x² + 4x - 5

g(x) = 6x³ – 2x² + 3

In order to get the required function (f-g)(x), we will have to take the difference of the function as shown:

(f – g)(x) = f(x) - g(x)

Substitute the given parameters into the expression

(f – g)(x) = 2x² + 4x - 5 - (6x³ – 2x² + 3)

Expand

(f – g)(x) = 2x² + 4x - 5 - 6x³ + 2x² - 3

Collect the like terms

(f – g)(x) = 2x²+2x²- 6x³ + 4x -5 -3

(f – g)(x) = - 6x³+ 4x² + 4x -5 -3

(f – g)(x) =  - 6x³+ 4x² + 4x - 8

Hence the required difference in the expression (f – g)(x) is - 6x³+ 4x² + 4x - 8

Learn more here: https://brainly.com/question/17431959


Related Questions

Quick I need some help! Simplify to create an equivalent expression. ( photo linked)

Answers

Answer:

B. 31r − 71 is the answer!

pls help the question is in the picture

Answers

The answer to this question is A. i think

Jollene’s starting balance on her credit card was $89.45, and she made purchases of $254.67 and $109.62 during the month. She also made a payment of $125. If the finance charge is 1.4% per month on the unpaid balance, find the new balance at the end of the month.

$328.74
$453.87
$429.63
$329.99

Answers

Answer:

329.99

Step-by-step explanation:

This is the right answer on the test

the sum of a number and its multiplicative inverse is 5 times the number

Answers

Answer:

Holii me ayudas a ganar plis

Markup & Markdown

In the questions below, you will be ask about situations involving markups and

markdowns. Anytime your answer deals with money, round to the nearest hundredths place and

include proper unit labels. Be sure to show all of your work for each problem.

1. The managers at the hunting store usually determine their prices by using a markup of 11

percent. If they purchased camo pants for $45 each, what will be the price for their customers?

2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices

each fly for the customers at $3.75, what is the markup percentage?

0.45+100x 11=4.95+45=49.95

50-1008 2.50 = 1.25=50%,

3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If

they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are

using?

Answers

Answer:

$49.95 ; 50% ; 33.33%

Step-by-step explanation:

1.)

Markup % = 11%

Purchase price = $45

Selling price will be :

(100 + 11)% * $45

1.11 * $45 = $49.95

2.)

Purchase price = $2.50

Selling price = $3.75

Markup % :

Profit / purchase price * 100%

[(3.75 - 2.50) / 2.50)] * 100%

1.25 / 2.50 * 100%

0.5 * 100% = 50%

3.)

Purchase price = $3.75

Selling price = $5.00

Markup % :

Profit / purchase price * 100%

[(5.00 - 3.75) / 3.75)] * 100%

1.25 / 3.75 * 100%

0.3333 * 100% = 33.33%

Are 2(x - 3) + 1 and 2x + 6 equivalent expressions​

Answers

Answer:

No.

Step-by-step explanation:

2(x-3) + 1  = 2x - 6 + 1 = 2x - 5

2x + 6   ≠   2x -5, so no, they aren't equivalent.

The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.

What is Equivalent Expression?

Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

We have two expressions to compare 2(x- 3) + 1 and 2x +6 .

Now, simplifying the first expression as

= 2(x -3) + 1

= 2x - 6 +1

= 2x - 5

and, the second expression is 2x + 6.

Thus, both of expression are not Equivalent.

Learn more about Equivalent Expression here:

https://brainly.com/question/28170201

#SPJ7

c) 12 x 3 + 9 + (15 - 2) × 3 =​

Answers

Answer:

Step-by-step explanation:

USE BOMDAS

do multiplication and brackets first

36+9+13X3

=45+39

=84

Find the slope (y=mx+b)

Answers

Answer:

y=7.5x+0 you don't have a b value because your rate starts at 0.

3 examples of proportion in real life ?

Answers

Answer:

Proportion of games an NFL team wins.

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

Step-by-step explanation:

Proportion is a relationship between measures.

Examples in real life are:

Proportion of games an NFL team wins.

For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.

Other possible examples are:

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

...

PLZ help me with this question

Answers

Answer:

I believe it's A and D.

If I helped you're welcome. If I didn't I'm sorry.

Answer:

A and D

Step-by-step explanation:

im not too good on fractions but hopefully its right

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Answers

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

Question :-

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.

Answer :-

The volume of the composite solid is 303.952 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]

Therefore :-

The volume of the composite solid is 303.952 m³.

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

1. Si se tienen los eventos:
A. Que la ruleta se detenga en un número menor que cuatro.
B. Que se detenga en un número múltiplo de cuatro.
a) ¿Cuál es la probabilidad del evento A? =
b) ¿Cuál es la probabilidad del evento B? =
c) ¿Qué significa que ocurra A o B?
d) ¿Cuál es la probabilidad de que ocurra A o B?

Answers

Answer:

c...........................

Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12

Answers

Answer:

it's 12 cuz 36 divided by 3 is 12

Multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.write the expression.

Answers

Answer:

[tex]0.035 \times 10 {}^{2} [/tex]

0.035 x 10 to the second power

Step

Answer 1 and 2 please.

Answers

Answer:

Give me the questions and I'll edit my answer

Step-by-step explanation:

Answer:

what the question then I'll edit answer ;-;

Step-by-step explanation:

Find the missing base

Answers

Parallelogram area = height * base
base = Parallelogram area / height
base = 20 / 4
base = 5

Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation

Answers

Answer:

The system of inequalities that models the situation is

Step-by-step explanation:

Given:

Total number of banana bread and nut bread must be atmost 30

Cost of one banana bread = $2.50

Cost of one nut bread = $2.75

Kona wants to make at least $44

To Find:

The system of inequalities models the situation

Solution:

Let the number of banana bread loaves be x

Let the number of nut bread loaves be y

Then kona wants to make at most 3 loaves of bread,

So...

Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps

A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?​

Answers

Answer:

A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.

Step-by-step explanation:

There are 18 servings of cereal in the box.

To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.

Given:

Serving size: 2/3 cup

Total cups in the box: 12 cups

To find the number of servings, we divide the total cups by the serving size:

12 cups ÷ (2/3 cup)

= 12 cups × (3/2)

= 36/2

= 18 servings

Therefore, there are 18 servings of cereal in the box.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

9.3% 1034 What is in scientific notation? 3.1 x 10"​

Answers

Answer:

Please be more specific?

Step-by-step explanation:

I don't know what you are asking and the way you format the question is quite confusing.

I need help please it will mean a lot

Answers

Answer:

The answer is B (2).

Step-by-step explanation:

Answer:

2

you replace the w with 30

30/6=5

then you subtract 3

5-3=2

The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=

Answers

Answer:

H = -52t + 6455

Step-by-step explanation:

2014 is 14 years since 2000. That gives you the point (14, 5727).

2017 is 17 years since 2000. That gives you the point (17, 5571).

Since we have two points in the line, we can find the equation of the line.

y = mx + b

m = slope = (difference in y)/(difference in x)

m = (5571 - 5727)/(17 - 14) = -156/3 = -52

y = -52x + b

Now we use one of the points for x and y, and we solve for b.

5727 = -52(14) + b

b = 6455

The equation is

y = -52x + 6455

Using H and t, we have

H = -52t + 6455

The relationship between the number of hospitals and the years, is a linear function.

The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]

Let

[tex]t \to[/tex] years since 2000

[tex]H \to[/tex] number of hospitals since 2000

So, we have:

[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014

[tex](t_2,H_2) = (17,5571)[/tex]

Calculate the slope (m)

[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]

This gives:

[tex]m = \frac{5571 - 5727}{17-14}[/tex]

[tex]m = \frac{-156}{3}[/tex]

[tex]m = -52[/tex]

The linear equation is then calculated using:

[tex]H = m(t - t_1) + H_1[/tex]

So, we have:

[tex]H = -52(t - 14) + 5727[/tex]

[tex]H = -52t + 728 + 5727[/tex]

[tex]H = -52t + 6455[/tex]

Hence, the equation H is: [tex]H = -52t + 6455[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?

Answers

Answer:

20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left

Answer:

960 gallons

Step-by-step explanation:

20 gallons * 48 hous =960 gallons

1920 - 960 =960 gallons.

Simplify completely*****​

Answers

Answer:

[tex]\displaystyle x - 3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle x - 3[/tex]

Any help? I'm struggling.
Write an explicit equation for each of the following geometric sequences. Then use the equation to find the 15th term.​

Answers

Answer:

Step-by-step explanation:

a=-7

r=21/-7=-3

[tex]a_{15}=a r^{n-1}=-7(-3)^{15-1}=-7(-3)^{14}=-33480783[/tex]

2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?​

Answers

Answer:

50.15

Step-by-step explanation:

250.75-50=200.75

200.75/5=50.15

Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015

Answers

Answer:

The value of the house on 1st January 2015 was of $650,000.

Step-by-step explanation:

Decimal multipliers:

For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]

For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]

Rami bought a house on 1st January 2015.

For a value of x.

In 2015 the house increased in value by 15%.

This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]

In 2016 the house decreased in value by 8%.

This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]

On 1st January 2017 the value of the house was $687700.

The value of these multiplications is 687700.

What was the value of the house on 1st January 2015?

This is x, so:

[tex]x*1.15*0.92 = 687700[/tex]

[tex]x = \frac{687700}{1.15*0.92}[/tex]

[tex]x = 650000[/tex]

The value of the house on 1st January 2015 was of $650,000.

HELP please!!!!!!!!!!​

Answers

the correct answer is a) 5x√2x

(25 POINTS!) A right triangle was rotated to create this figure. What is true about the axis of rotation? The picture is shown below.
A. It lies on the hypotenuse of the right triangle.
B. It lies on a leg of the right triangle.
C. It is parallel to a leg of the right triangle, but is separate from the right triangle.
D. It is parallel to the hypotenuse of the right triangle, but is separate from the right triangle.

Answers

Answer:

It lies on the hypotenuse of the right triangle.

Step-by-step explanation:

It lies on the leg of the right triangle. Then the correct option is B.

What is Geometry?

One of the first areas of mathematics is geometry, along with maths. It is preoccupied with spatial characteristics including the separation, form, size, and relative placement of objects. A geometer is a mathematician who specializes in shape.

A right triangle was rotated to create this figure.

Since the given figure is a right triangle that has been rotated, the axis of rotation must pass through the vertex of the right angle, which is also the intersection of the perpendicular leg. Therefore, the axis of rotation must lie on the leg of the right triangle.

It lies on the leg of the right triangle. Then the correct option is B.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

is this graph a function ​

Answers

Answer: yes because it if u plug in x values u get y values

Please help me please !

Answers

Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

Other Questions
Use the drop-down menu to complete the steps for creating a scenario.1. Go to thetab.2. In thegroup, selectfrom the drop-down What If Analysis menu.3. Click the Add button.4. Specify the name of the scenario.5. Specify the cells containing the values to change and click OK.6. Specifyand click OK The Courtney family wants to expand their rectangular patio, which currently measures 13ftby 18 ft. They want to extend the length and width by the same amount to increase the total areaby 140 ft squared. Write a quadratic equation that models the situation. YOU DO NOT HAVE TO SOLVE. The H.C.F of 42,70 and 56 Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor This is sooooo confusing........................................ In math the "Base" is defined as Select all of the words that should be capitalized in the sentence below.enter boyce thompson arboretum state park from picketpost road.enterboycethompsonarboretumstateparkfrompicketpostroad PLS HURRY TY WILL GIVE BRAINLIEST Farmer Brown tests the hypothesis that the more alfalfa sprouts cattle eat, the more milk they produce. He divides his pasture into four fields and puts twenty cattle in each field. Field 1 cows get no alfalfa sprouts, field 2 cows get ten pounds of sprouts per day, field 3 cows get twenty pounds of sprouts, and field 4 cows get thirty pounds. He feeds all groups fifty pounds of regular hay per day, uses the same breed of cattle, and gives them the same amount of water. He measures gallons of milk produced per cow every day. Which of these structures is a common way to organize ideas in scientific articles?1. a list of questions and answers 2. a description of an event, followed by the effects of the event 3. directions for how to make or build something 4. a definition of a concept, followed by examples Which statement best completes the diagram? Culture of Northern AfricaIndigenous people are called berbers. There are several large, modern urban centers.A. The most common language is ArabicB. Most people are nomadic herdersC. Christians are banned from the region D. Arts are strictly controlled by the government Why did Europeans start to explore Asia, Africa, and the Americas?Group of answer choicesAt first they were looking for trade routes, but then they discovered setting up colonies made a lot of money.They were running out of room in their own countries.They wanted to go to war with someone.They wanted to get slaves. Reposting question because I didn't get the correct answers last time, Write an equation of the line in slope-intercept form. picture attached What is the main factor that causes bedrock to weather at different rates? 1. Elevation above sea level2. Mineral composition3. Age of rock layers4. Environmental factors pls help guys im having trouble on this question and need help Why was super bowl lv a historical event What are the similarities and differences between harmony and unity? How did music benefit the aims of the French Revolution? What base of this triangle A. 10 B. 8C. 80 D. 18 I gave Brainlist The solid has a mass of 180 g. What is the density of the solid? Show your work. Be sure to use correct units of measurement. HELP NEEDED ASAP!!!!