If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).

If F(x) = 3 X2 + 2 And G(x) = X2 - 9, Find (f - G)(x).

Answers

Answer 1

Answer:

2x^2 +11

Step-by-step explanation:

(x) = 3 x^2 + 2

g(x) = x^2 - 9

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

Distribute the minus sign

             = 3x^2 +2 - x^2 +9

Combine like terms

             = 2x^2 +11


Related Questions

Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4

Answers

Answer:

a. For Asset 1, we have:

Total cost = $5,864

Total depreciation = $5,264

Annual depreciation = $877.33

b. For Asset 2, we have:

Total cost = $17,210

Total depreciation = $15,310

Annual depreciation = $3,827.50

Step-by-step explanation:

Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.

Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).

The explanation of the answers is now given as follow:

Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.

Therefore, wee have:

a. For Asset 1, we have:

Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864

Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264

Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33

b. For Asset 2, we have:

Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210

Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310

Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50

Given a circle with a radius of 22 inches, what is the circumference in terms of π?

Answers

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches[/tex]

Answer:

The circumference is 44 pi.

Step-by-step explanation:

You have to use the formula, C=2 Pi R but since it's in terms of pi, we can not include pi in the equation. 2 times r (radius) is 44, therefor the answer is 44 pi.

When evaluated, which expression has a result that is a rational number?

Answers

Answer:

√144 * 0.25 is rational!

Step-by-step explanation:

A new car's original price is $13,999. If it's on sale
for 10% off, what's the new price?

Answers

To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.

13,999.00 × ¹⁰/₁₀₀ = $1,399.90

13,999.00 - 1,399.90 = $12,599.10

Therefore, new price = $12,599.10

PLEASE HELP !! suppose that F(x)=x^2 and G(x)=3x^2+8.which statement best compares the graph of G(x) with the graph of F(x)

Answers

Answer:

The graph of g(x) is the graph of f(x) stretched by 3 and shifted 8 units up

Step-by-step explanation:

Given

[tex]f(x)=x^2[/tex]

[tex]g(x) =3x^2 + 8[/tex]

Required

Compare g(x) and f(x)

We have:

[tex]g(x) =3x^2 + 8[/tex]

Rewrite as:

[tex]g(x) =3[x^2] + 8[/tex]

Substitute:[tex]f(x)=x^2[/tex]

[tex]g(x) =3f(x) + 8[/tex]

This means that:

3f(x)

f(x) is stretched vertically by a factor of 3

+8

Then shifted upwards by 8 units to give g(x)

What is the length of AB?

Answers

Answer:

B. 6

Step-by-step explanation:

We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.

Canterbury Cycles sells Harleys and pays each salesperson a commission of $800 for each cycle sold. During the month of December, a salesperson sold 3 cycles. The company pays commissions on the 5th day of the month following the sale. Which of the following statements is true?a. The salesperson will recognize commission revenue earned in the amount of 2400 in Decemberb. The company will recognize commission expense in the amount of $2,400 in December.c. The salesperson will recognize commission expense in the amount of $2,400 in January.d. The salesperson will recognize revenue in the same month that the cycle dealer recognizes expense.

Answers

Answer: The company will recognize commission expense in the amount of $2,400 in December

Step-by-step explanation:

Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.

A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.

It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.

Answer:

b. The company will recognize commission expense in the amount of $2,400 in December.

Step-by-step explanation:

Based on the information given the statements that is true will be: THE COMPANY WILL RECOGNIZE COMMISSION EXPENSE IN THE AMOUNT OF $2,400 IN DECEMBER reason been that each salesperson were paid a commission in the amount of $800 for each cycle sold, which is 3 cycles during the month of December.

Calculation to determine the Commission Expense

Commission Expense=$800*3 cycles

Commission Expense=$2,400

Therefore The company will recognize commission expense in the amount of $2,400 in December.

Robin saved money during the months of July and August can some one help me

Answers

Step-by-step explanation:

(340*20)-3

HOPE IT HEPL U

Triangle GCH is similar to triangle DCE. Find CH

Answers

Answer:

x = 65

Step-by-step explanation:

if two triangles are similar then we can use the similarity ratio to find the length of CH

60/156 = x/169 cross multiply expressions

156x = 10140 divide both sides by 156

x = 65

PROBLEM IS ABOVE PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

slant height of the exagon = side/2 * √3 = 2.5√3 cm

area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2

Volume of the prism = area of the hexagon * height = 974,278579 cm^3

Volume of the cylinder = radius^2 *  pi * height = 36 * pi * 15 = 1.696,460033 cm^3

volume of the kaleidoscope = 722,181454 cm^3

Find the area of the circle the area is ? m2

Answers

Answer:

roughly 12.57

Step-by-step explanation:

pi times [tex]r^{2}[/tex]

Answer:

Step-by-step explanation:

Hello!

The area of a circle is calculated using the formula [tex]A = \pi r^2[/tex].

A = areaπ = pir = radius

To solve for the area, we plug in the value for the radius.

Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (2)^2[/tex][tex]A = 4\pi[/tex]

Usually we round Pi to 3.14 and multiply, but since it's asking for the exact value, we can just leave it as is.

The area in terms of Pi is .

I’m so horrible at math, please help

Answers

Answer: 23

=21 ÷(14-11)+2⁴
=21 ÷3+16
=7+16
=23

Explanation: Use PEMDAS to simplify the expression. Parentheses, exponents, multiply, divide, add, and subtract.

P - Parenthesis ( )

E - Exponents ²

M - Multiplication ×

D - Division ÷

A - Addition +

S - Subtraction -

Question : 21 ÷ (14 - 11) + 2⁴

1st step : Subtract the two numbers inside the Parenthesis

⇒   21 ÷ 3 + 2⁴

2nd step : Calculate the value of 2⁴ which is related to Exponents

⇒   21 ÷ 3 + 16

3rd step : Perform Division

⇒   7 + 16

4th step : Perform Addition

⇒   23

Answer: 23


Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?

Answers

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

PLEASE HELP!!!
The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by the
function a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.
The number of children who have seen the same play, measured in hundreds of people, is represented by the function
c (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.
What function, d (w). can be used to determine how many more children than adults have seen the play in any week?
d (w) = -0.1w2 + 5W + 21
d (w) = 0.1w2 – w+ 5
d (w) = -0.1w2 – w + 5
Od (w) = 0.1w2 + 5W + 5

Answers

Answer:

d (w) = 0.1w² – w+ 5

Step-by-step explanation:

d(w) = c(w) - a(w)

= -0.3w²+2w+13 -(-0.4w²+3w+8)

= -0.3w²+0.4w²+2w-3w+13-8

= 0.1w²-w+5

Answer:

d (w) = 0.1w2 – w+ 5

Step-by-step explanation:

I took the test

Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12

Answers

Answer:

The first option is correct

Step-by-step explanation:

Hope it is helpful....

How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.

Answers

Answer:

I would say more than 4 billion...

Step-by-step explanation:

what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.​

Answers

Answer:

Rs. 18080

Step-by-step explanation:

Given :

Marked price = Rs. 20000

Discount = 20%

Discounted price = (100-20)% * marked price

Discounted price = 80% * 20,000 = Rs. 16,000

The VAT = 13%

VAT charge = 13% * 16,000 = Rs. 2080

Final price = discounted price + VAT charge

Final price = 16000 + 2080 = Rs. 18080

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answers

Answer:

answer is option B since they are in GM

Answer:

[tex]\text{b. }786,432[/tex]

Step-by-step explanation:

The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].

What we know:

[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)

Substituting given values, we get:

[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]

Area of circle with a diameter of 8ft?

Answers

Answer:

it is 50.27

Step-by-step explanation:

the formula for finding the area it

A= pi r^2

pi=3.14

so that being said you want to:

you want to divide the diameter by 2 to get 4,then you want to do 4^2 to get 16. then multiply 16 by 3.14 to get 50.265 then you want to round up to 50.27

Find the slope and the y-intercerpt f(x) = 8 -7/8x​

Answers

Answer:

slope = -7/8

y-intercept = 8

Step-by-step explanation:

slope intercept form is

y = mx + b

m is slope

b is y-intercept

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

f(x) = 8 - 7/8x​

Rearrange into slope intercept form

f(x) = -7/8x​ + 8

slope = -7/8

y-intercept = 8

Answer:

Slope = -7/8

Y-intercept = 8

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

f(x) = 8-7/8x​

Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:

f(x) = -7/8x​+8

Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.

I hope this helps!

[100 point question answer asap]find the areas of the trapezoids

Answers

Answer:

7.5

Step-by-step explanation:

You have two triangles with areas of 1.5 and 3 as well as a rectangle with an area of 3

Answer:

Area = 7.5

Step-by-step explanation:

Use this formula to find the area of a trapezoid A = [tex]\frac{a + b}{2} h[/tex]

Plug numbers in[tex]\frac{1 + 4}{2}*3[/tex]

Area is = to 7.5

What is m∠CDE? pls help

Answers

Answer:

68

Step-by-step explanation:

∠ACB = ∠DCE

          = 180-92/2

          =44

∠CDE = 180 - 44 / 2

         68

Write the product in its simplest form : 6c • (-7c^6)

Answers

Answer:

Step-by-step explanation:

(-7*6)(c*c^6) = -42c^7

The function f is defined by f(x)=x^2+3x-10

Answers

Answer:

hope it is helpful to you

Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4

Answers

0.04 is the only right one
All that can be devised by 4
Which is 0.04, 40, 4, 0.4

10 and 100 can’t

58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.​

Answers

Answer:

No solution is possible

Step-by-step explanation:

You failed to include the graph.

PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST

Answers

Answer:

5X+6+3X-2 =180

8X+4. =180

8X. =180-4

8X. =176

X=22

CBD=EBF=3x-2

=66-2

=64

CBD=64

the equation of a straight line is 2y+6x=-8.find the gradient of the line​

Answers

Step-by-step explanation:

Y= mx + c

2y = 3x - 8

2y = -3× - 8 ( divide all yerms by two )

y = -3 × 4

2

y = -3

2

Which pair of angles are vertical angles?

A) B) C) D)

Answers

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

c) Determine the location and values of the absolute maximum and absolute
minimum for the given function:
f(x) = (-x + 2)4, where 0 <x<3​

Answers

Answer:

The absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.

Step-by-step explanation:

f(x) = (-x + 2)⁴

to find the absolute maximum and minimum values, we differentiate f(x) with respect to x.

So df(x)/dx = f'(x) = 4(-x + 2)³

The maximum and minimum values are obtained when f'(x) = 0

So,  4(-x + 2)³ = 0

⇒  (-x + 2)³ = 0

⇒ -x + 2 = 0

-x = -2

x = 2

Now, f(2) = (-2 + 2)⁴ = 0⁴ = 0

So, the absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.

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