f(x) = 3x^2 + 4x - 6
g(x) = 6x^3 – 5x^2 - 2
Find (f - g)(x).

Answers

Answer 1

Answer:

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

Step-by-step explanation:

subtract g(x) from f(x)

(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)

distribute the negative

(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2

like terms and in order of exponent

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4


Related Questions

Write an expression to find the distance (in degrees) between the LATITUDE lines of Moscow and Brasilia. Use absolute value in your expression.

Answers

Answer:

this is the correct answer

Step-by-step explanation:

|37.62 – (-47.87)|

The distance in degrees, between the latitude lines of Moscow and Brasilia is 71.55 degrees.

What is Absolute Value?

Absolute value of a number is the distance of that number from the point of origin of a number line. Or in other words absolute value of a number is the magnitude of that number without concerning about the sign.

The distance between two countries with latitude degrees P and Q is given by absolute(P) - absolute(Q), if the two countries are at the same side of the meridian (0 degrees latitude) and if the positions of countries are at different sides of the meridian, the distance is absolute(P) + absolute(Q).

Moscow is 55.75 degrees latitude.

Brasilia is -15.8 degrees latitude.

Distance between latitude lines of Moscow and Brasilia is,

absolute(55.75) + absolute(-15.8) = 55.75 + 15.8 = 71.55 degrees.

Hence the distance between the latitude lines of Moscow and Brasilia is 71.55 degrees.

To learn more about Absolute Values, click on the link :

https://brainly.com/question/1301718

#SPJ2

The complete question is as below :

Moscow, the capital city of Russia, is at 37.62 degrees longitude and 55.75 degrees latitude. Brasilia, the capital city of Brazil, is at -47.87 degrees longitude and -15.8 degrees latitude. Write an expression to find the distance (in degrees) between the LATITUDE lines of Moscow and Brasilia. Use absolute value in your expression.

Copy and complete: b 7:8:9=__:12:_

Answers

Answer:

10.5 : 12  : 13.5

Step-by-step explanation:

7:8:9

We need to get 8 to 12

12/8 = 3/2

We need to multiply each number by 3/2

7 * 3/2:8* 3/2  :9*3/2

21/2  : 12  : 27/2

10.5 : 12  : 13.5

If f(x) = -3x - 5 and g(x) = 4x-2, find (f-g)(x).
A. (f- g)(x) = -7x-3
B. (f-g)(x) = x - 7
C. (f-g)(x) = x - 3
D. (f- g)(x) = -7x+3

Answers

Answer:

B. (f-g)(x) = x-7

i think

Answer:A

Step-by-step explanation:

(f-g)(x)=7x-3

Solve this question 4(x+1)+8=24

Answers

Answer:

x = 12

Step-by-step explanation:

4 (x + 1) + 8 = 24

you wan to simplify

4x + 4 + 8 = 24

4x + 12 = 24

now you want to get the variable and the number on different sides

4x + 12 - 12 = 4x

24 + 12 = 36

4x = 36

now you wan to divide each side by 4

4x / 4 = x

36 / 4 = 12

x = 12

Answer:

The answer is 3.

Step-by-step explanation:

First, subtract 8 from each side of the equation to isolate the term with parenthesis while keeping the equation balanced

Next, divide each side of the equation by 4 to eliminate the parenthesis while keeping the equation balanced

Now, subtract 1 from each side of the equation to solve for x while keeping the equation balanced.

Solve for X. Plz help me​

Answers

Answer:

x = 20

Step-by-step explanation:

[tex](2x) \degree + x \degree+ 60 \degree + (360 - 120) \degree = 360 \degree \\ \\ (3x) \degree+ 60 \degree + 240 \degree = 360 \degree \\ \\ (3x) \degree+ 300 \degree = 360 \degree \\ \\ 3x = 360 \degree - 300 \degree\\ \\ (3x ) \degree= 60 \degree \\ \\ 3x = 60 \\ \\ x = \frac{60}{3} \\ \\ x = 20 [/tex]

x= 20 is the correct answer

Good Morning! Question: What is 1+1+7+4+5=? Kuroo

Answers

Answer:

18

Step-by-step explanation:

You can add each one slowly if that helps! So...

1+1 is 2.

2+7 is 9.

9+4 is 13.

13+5 is 18.

18 is your answer!! I hope this helps you out...have an amazing day!!!! :3

Answer:

Lemme answer my own question.

Step-by-step explanation:

It is 18

A parent volunteer group is raising money by making custom hats to sell at school activities. They plan to sell the hats for $12. Each hat costs $6 to make. They spent $50 for advertising. Use n to represent the number of hats they sell. Multiply this by the money they make for each hat, then subtract the advertising cost. Which expression represents the money that the group raises? A. 12 - 6n - 50 O B. (12-6) n - 50 O C. 12n – 6-50 O D. 50 – (12 – 6)

Answers

Answer:

B. (12-6) n - 50

Step-by-step explanation:

Given that:

Cost of making hat = $6 per hat

Selling price = $12 per hat

Advert cost = $50

Number of hats made = n

The profit or money raised from the sales of hat:

Total Revenue from sales - total cost of production - advert cost

Total Revenue from sales = ($12 * n) = $12n

Total cost of production = ($6 * n) = $6n

Advert cost = $50

Hence,

12n - (6n + 50)

12n - 6n - 50

(12 - 6)n - 50

Pls help me on this I will give you 10 points for number 9 b

Answers

Around 2.09 hours.

the train travels 268 miles/hour
560/268 = 2.09

6(x + 3) = 7(x-2)-2(x+4)

Answers

Answer:

16

Step-by-step explanation:

Question 5(Multiple Choice Worth 5 points)
(01.02 MC)
Which of the following correctly simplifies the expression
(3^2•5^0/4)?​

Answers

Answer:

2.25

Step-by-step explanation:

(3^2•5^0/4)

9x1/4

9/4

2.25

I need help. I do not know if I am wrong or right.

Answers

You’re right just saying :)

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 36.0 mi/gal. How many liters of gas will you need to complete a 174 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.

Answers

Answer:

The number of liters needed to complete a 174 km trip is 11.35 L

Step-by-step explanation:

The given information are;

The gas efficiency of the car = 36.0 mi/gal

The distance of the trip = 174 km

The conversions factor is 1 gal = 3.78 L and 1 km = 0.6214 mi,

Therefore, 36 mi/gal = 36 mi/gal × 1/0.6214 km/mi × 1/3.78 gal/L ≈ 15.33 km/L

The gas efficiency of the car, 36.0 mi/gal, in km/L ≈ 15.33 km/L

The number of liters, L, needed to complete a 174 km trip is given as follows;

L = (The distance the car is to complete)/(The fuel efficiency of the car)

L = 174 km/(15.33 km/L) ≈ 11.35 L

The number of liters needed to complete a 174 km trip = L = 11.35 L.

Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word. Rosa is correct in using a division expression because the cost per pound should be less than $4. Rosa is incorrect in using a division expression because "cost per pound" refers to the product of the price and weight. Rosa is incorrect in using a division expression because the cost per pound must be an integer.

Answers

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

[tex]\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}[/tex]

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

[tex]\text{Cost per pound = }\dfrac{\$4}{1} = \$4[/tex]

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Answer:

A

Step-by-step explanation:

I got a 100

On the left, model 4 + (-6). On the right, model 4 - 6.

I need to know where the dots would be placed on this number line

Answers

Answer:

On the left because their both positive and the other one is not and also the left one is on the left y axil

The measure of two supplementary angles,

Answers

Answer:

The measure of two supplementray angles is 180 degrees.

Step-by-step explanation:

Answer:

Two supplementary angles must add up to be 180°

Hope this helps!

Find the x-intercept and y-intercept of the line.
-6x+5y=21
Write your answers as exact values. Do not write your answers as ordered pairs.

Answers

[tex]5y = 6x + 21 \\ y = \frac{6}{5} x + \frac{21}{5} [/tex]

y intercept:

[tex]y = \frac{21}{5} [/tex]

he ratio of clown fish to angelfish in a fish tank is 5:6.Juan says there must be exactly 11 fish in the tank is Juan's statement correct? Explain.

Answers

yes she is if you mutilate and then simplify

The seismic wave of an earthquake is represented by the equation r = 12.8 sin(θ), where r is measured in miles.

The seismic wave is represented by ______ curve having a center on the ______

The earthquake can be felt ________miles from its center.

1 Circular, Rose, Limacon
2 Positive x Axis, Negative x Axis, Positive Y axis, negative Y axis
3 6.4, 12.8, 25.6

Answers

Answer:

1. CIRCULAR

2. POSITIVE Y-AXIS

3. 6.4

Step-by-step explanation:

Right on edge

Answer:

CIRCULAR

POSITIVE VERTICAL AXIS

6.4

Step-by-step explanation:

On edge 2023

Need help ASAP!!!!!!!
Evaluate each expression for the given values of the variables.

1. 3x · 2 ÷ y; x = 3 and y = 6

2. (4a)^3 ÷ (b − 2); a = 2 and b = 4

Answers

Answer:

1. 3   2. 16

Step-by-step explanation:

3x+2/y, x = 3 and y = 6

3(3)/6

Factor the number

3*3*2/3*2

Cancel the common factor (3)

3*2/2

Cancel the common factor (2)

3/1

Simplify

=3

(4a)^3/(b-2), a = 2, b = 4

(4(2)^3/(4-2)

Subtract the numbers:

2^3 * 4/2

Apply exponent rule (a^b*a^c=a^b+c)

= 2^3+1

Add the numbers:

2^4

Simplify:

=16

Cody was told that instead of talking he could walk around to help him stay quiet.
He then started
walking and every 7 feet he would turn left. After he made 8 turns he was back to where he started. He wanted to know how far he walked so he drew his pattern below.

If he walked straight for 7 feet between each turn, how far did Cody walk?

Answers

Answer:56 feet

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

i multiplied 7x8 and got 56

Define a variable, write an inequality, and solve each problem. Check your solution.
16. Twice the sum of a number and 4 is less than 12.
17. Three times the sum of a number and six is greater than four times the number decreased by two.
18. Twice the difference of a number and four is less than the sum of the number and five.

Answers

Answer:

Step-by-step explanation:


4 of 5
Cans of wood varnish come in three sizes.
Small can: A 200 ml can costs £0.64.
Medium can: A 500 ml can costs £1.68.
Large can: A1 / can costs £3.25.
Calculate the cost of 1 / for the small and medium cans.
Give your answer in pounds to 2 dp.
Write the can that is the better value in the comments.
>
Medium: £
1
Small: £ |
0

Answers

What you have to do is to add them up so £0.64 add £1.68 which is equal to £2.32 then you look at the number after the decimal which is three and two but if you were to do that that will be rounding to the first decimal place so you add a 0 at the end of 2 so because we can’t round up we round down so it is £2.32

which fraction is closest to 0.39
1/3, 2/5, 3/8, 9/25

Answers

Answer: 2/5 is the closest one.

Step-by-step explanation:

1/3 (0.333,,,) is 0.05666... away from 0.39 .

2/5 (0.4) is 0.01 away .

3.8 (0.375) is 0.015 away .

9/25 (0.36) is 0.3 away .

2/5 is the closest one.

1/3 because 0.33 so it would be 1/3

a man pushes his car with a force of 30N to the right. He moves the car a distance of 3 meter to the right. What is the amount of work he has done? ​

Answers

Given parameters:

Force  = 30N

Distance covered  = 3m

Unknown:

Work done = ?

Work done is an important physical quantity. It is formulated as the product of force and distance.

   Work done  = Force x Distance

The unit is in Joules.

Now go ahead and input the parameters;

                  Work done  = 30 x 3  = 90J

The work done in pushing the car is 90J

I need help!!!!!!!!!!!!!

Answers

Answer:

5

Step-by-step explanation:

to get 3, you divided 12 by 4 so you have to divide 20 by 4 too

To start off, look at the 12 (first triangle) and (second triangle) 3, they are in the same place. With that you can figure out the translation rate of /4 will get you the side on the second triangle.
In this case it would equal 5, as if you multiply 5 and 4 together you get 20

which pair of relational number are negative relational number
4/7and5/8
-4/-7and-5/-8
-4/7and-5/8​

Answers

Answer:

-4/7 and -5/8

Step-by-step explanation:

why i chose the number as my answer was because when - and + comes in contact, it will still be a negative number

Plz help I can't figure this out.

Answers

Answer:

We have to estimate the sum of

→7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815

When Rounded to nearest tens

7.95 → 8.00

8.11→ 8.00

78.5→79

8.05→8.00

79.4→79.0

0.815→1

Step-by-step explanation:

So,estimation of the above rational numbers with addition as an operation is done,the result is

→8 + 8 + 80 + 8 + 80 + 0.8 = 184.8, is not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.

what is the y-intercpt of (-4,-3)?

Answers


-3 is the y intercept , -4 is the x intercept .

Find the number of terms in the expression 2x+5-x

Answers

Answer:

3 terms.

Step-by-step explanation:

A term can include but not limited too:

- A single number: (examples: 5)

- A single variable: (examples: x, -x)

- The two combined: (examples: 2x)

-Terms with powers or roots: (examples: 2x² , x√3)

~

This deals with simplification or other simple results. • canceling out : x+5

convert 2.5mi/min to mph URGENT

Answers

Answer:

150 mph

Step-by-step explanation:

Two point five miles times 60 minutes.

Answer:

241,395 mph

Step-by-step explanation:

There are about 1609.3 meters in one mile, so to convert miles to meters just multiply the number of meters by the miles you have. This will cancel out the unit of miles and leave you with meters per min.

[tex]\frac{2.5mi}{min} *\frac{1609.3m}{1mi}=\frac{4023.25mmi}{mimin}=\frac{4023.25m}{min}[/tex]

Then multiply that by 60 because there are 60 minutes in an hour

[tex]\frac{4023.25m}{min}*\frac{60min}{1h}=\frac{241,395mmin}{minh}=\frac{241,395m}{h}[/tex]

2.5 mi/min = 241,395 mph

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