f(x) = x +4
g(x) = 3x^2 – 7
Find (f.g)(x)

Answers

Answer 1

Answer:

(f*g)(x) = 3x³+12x²-7x-28

Step-by-step explanation:

What (f*g)(x) means is that we multiply f(x) by g(x):

f(x) = x+4

g(x) = 3x²-7

(f*g)(x) = f(x)*g(x) = (x+4)(3x²-7) = (x)(3x²)+(x)(-7)+(4)(3x²)+(4)(-7) = 3x³-7x+12x²-28 = 3x³+12x²-7x-28


Related Questions

Which equation applies the associative property of multiplication?

A. (-1\4 - 5\3) - 3\5 = -1\4 - (5\3 - 3\5)

B. -5\12 times (6\5 times 1\3) times 9\2 = (-5\12 times 6\5) times (1\3 times 9\2)

C. -6\7 times 8\11 times 1\3 = 8\11 times (-6\7) times 1\3

D. (-7\8 times 2\5) + ( 7\8 times 3\5) = -7\8 times (2\5 + 3\5) ​

Answers

Answer:

(a) is correct answer but it is w.r.t addition

not multiplycation.

Step-by-step explanation:

may it will help you.

mark me brainlist plz.

What is the value of k?

help!!!!

Answers

Answer:

k = 10°

Step-by-step explanation:

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]

An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]

PLEAS HELP!
The diagram shows a convex
polygon.
What is the value of a?

Answers

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

The Original Price of a 4ft×4ft Boards is $12.78, but when you buy 10 or more you pay $10.80. You only need 8, 4ft × 4ft Boards Which would be the better deal?​

Answers

:) I don’t know the answer .

Solve for the variable

9b+4−8b=7

b = ?

Answers

The answer is 3
B+4=7
B=7-4
B=3

rewrite 5% as a decimal number

Answers

Answer:

5% as a decimal number is 0.05.

PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT ​

Answers

Answer:

c hope this helps

Step-by-step explanation:

Answer:

The correct answer should be C.

Simplify and show work I need help

Answers

Answer: 6x^4-2x^2x5x+2x^2

Step-by-step explanation:

Factor x3 – 7x + 6 completely given that (x - 2) is a factor.

Answers

Find one factor

[tex](x-2)(x^{2} +2x-3)[/tex]

Find one factor

[tex](x-2)(x-1)(x+3)[/tex]

[tex]solution:(x-2)(x-1)(x+3)[/tex]

can anyone heelp me pls pls

Answers

Lotion - Liquid

Suspension - semisolid

Capsule - solid

hope this helps: )

Suppose that $590 is deposited into an account that pays 3.5% compounded quarterly. How long will it
will take for the account to contain at least $800? Round to the nearest year.

Answers

Answer: 9 years

Step-by-step explanation:

Let 's use the compound interest formula :

[tex]\rm \displaystyle S=A\left( 1+\frac{N}{100} \right)^{\rm \big r}[/tex]

Where N- the percentage by which we raise the price ; r-years ; A-the original price

In our case

N=3,5%  ;  r=?  ; A=590$  

And we know :

[tex]\rm \displaystyle S= 800 \\\\ 590 \left( 1+ \frac{3,5}{100} \right)^{\big {r}}=800 \\\\\\(1,035)^{\big r} = \frac{80}{59}\approx1,355 \\\\\\ r= \log_{1,035}\ 1,355=8,\underline831 \approx9 \ years[/tex]

The exterior angle of a triangle is 164 degree and one
 of its interior opposite angle is 98 degree. Find the other
 interior opposite angle. ​

Answers

Answer:

• Let the other interior angle be x

[tex]{ \rm{x + 98 \degree = 164\degree}} \\ \\ { \rm{x = 164\degree - 98\degree}} \\ \\ { \boxed{ \rm{x = 66\degree}}}[/tex]

If you randomly select a card from a well shuffled standard deck of 52 cards, determine the probability that the card you select is 8.
a) reduce fraction
b) decimal rounded to the nearest thousands
c) percent round to the nearest tenth of a percent

Answers

Answer:

a) 1/13, b) 0.077, c) 7.7%

Step-by-step explanation:

There are 4 cards of 8 in a deck, so the probability is 4/52, which can be reduced to 1/13. 1/13 rounded to the nearest thousandths is 0.077, which is 7.7%.

Calculate the work done to stretch an elastic string by 40cm if a force of 10N produces an extension of 4cm in it?​

Answers

The work done to stretch an elastic string by 40cm is 20 Joules

Hooke law states that the force (F) applied to a spring is directly proportional to the extension (e).

F ∝ e

F = ke

k is the constant

Given that a force of 10N produces an extension of 4cm, hence:

F = ke

10 = k(4)

k = 2.5 N/cm

For an extension of 40cm, the work done is:

Work done = (1/2)ke²

Work done = (1/2)(2.5 N/cm)(40 cm)² = 2000Ncm = 20 Nm

Work done = 20 Joules

The work done to stretch an elastic string by 40cm is 20 Joules

Find out more at: brainly.com

The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your Work. ( Will Mark Brainliest and please Do Not Repost Someone Else's Answer On Here.​

Answers

Answer:

Slope of PQ

m

r

=

y

Q

y

P

x

Q

x

P

=

1

5

1

(

2

)

=

4

Slope of QR

m

p

=

y

R

y

Q

x

R

x

Q

=

3

1

7

(

1

)

=

1

4

Slope of RP

m

q

=

y

R

y

P

x

R

x

P

=

3

5

7

5

=

1

Since slopes PQ & PR,

m

r

=

1

m

p

, it's a right triangle

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

just write like the (this is a example) 2x+6=5x

just put m instead of x but just make it make sence

Who ever answers first will be marked brainliest

Answers

Answer:

The answer is x≥9.

Step-by-step explanation:

Answer:

x≥9

Step-by-step explanation:

this is the answer all you have to do is solve it

What is the image point of (-5,-6) after the translation

Answers

Answer:

what's the translation?

WILL GIVE BRAINLIEST!... whats the unit rate of the equation(HAVE TO SHOW HOW YOU GOT ANSWER)
y=-4x​

Answers

Answer:

-4

Step-by-step explanation:

The form of a liner equation is y=mx+b.  b is 0 in this example.  So we are left with y=-4x

-4 is the m, the slope.  It is also called the unit rate of change.  It tells us how much y changes for each 1x unit.  

y     x

0    0

-4    1   One unit changes y by -4 :  The unit rate of change.

-8    2

530÷34= ? Write answer as a whole number and remainder.

Answers

Answer:

15 with a remainder of 20

Step-by-step explanation:

hope it helps :)

Answer:

168 and the remainder is 7

Step-by-step explanation:

if is wrong i'm sorry

4. Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work. (5 points) Step Work Reasoning −8.3 + 9.2 − 4.4 + 3.7 Original problem 1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse 2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property 3 −8.3 + (4.4 + 9.2 + 3.7) Associative property 4 −8.3 + 17.3 Simplify 5 9 Simplify

Answers

Answer:

-8.3 + 9.2 - 4.4 + 3.7

= -8.3 + 9.2 + (-4.4) + 3.7            {Additive inverse}

= -8.3 + (-4.4) + 9.2 + 3.7            {Commutative Property}

= [ -8.3 + (-4.4] + [ 9.2 + 3.7]       {Associative property}

=  - 12.7 + 12.9

= 0.2

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

81 cm

Step-by-step explanation:

I'm pretty sure it's 81 cm cause you just times it by 27

Answer:

108 devided by 4 = 27 so the answer is 27 centimeters in the drawing

Step-by-step explanation:

Convert the 144 km/h into meters per second

Answers

Answer:

144 Kilometers per Hour = 40 Meters per Second

Step-by-step explanation:

multiply the value in kilometers per hour by the conversion factor '0.27777777777778'.

So, 144 kilometers per hour = 144 × 0.27777777777778 = 40 meters per second.

please mark 4 brainliests.

Answer: 40 m/s

Step-by-step explanation: you can multiplied by 5/18 to convert km/h to m/s ,and you can multiplied by 18/5 to convert m/s to km/h.

4/8 x 4/8

i want some friends
answer if you like and comment if you want to be my friend​

Answers

Answer:

i will be ur friend........ with pleasure

Answer:

1/8

Step-by-step explanation:

Have a good

bye bye

Mr.E.Terry, an engineer, runs a small business. The accounts for the firm are:

* Bank Automobile HST Payable Miscellaneous Expense
* A/R—Various Equipment E. Terry, Capital Rent Expense
* Office Supplies A/P—Various E. Terry, Drawings Telephone Expense
* Office Furniture HST Recoverable Fees Earned

* Journalize the following transactions, using the general journal page below. Calculate and add the HST on any transactions that need it. The rate for HST is 13%. Do not provide explanations.

Jul. 3 Cheque Copy

No. 105, Chambers Bros., payment for monthly rent $450 plus HST of $58.50,
total $508.50.
5 Purchase Invoice
From Glen Printing, $86.50 for office supplies plus HST
8 Sales Invoice
No. 50 to J. Greenley, $250 for services performed, plus taxes.
10 Cash Receipt
From R. Grieve, $200 payment on account.
18 Cash Sales Slip
No. 100 to E. Webb, $85.50 plus taxes.
20 Cheque Copy
No. 106 to E. Terry, $490 for personal use.
24 Bank Debit Memo
Bank deducted $25.00 for a bank service charge.
29 Cheque Copy
No. 107 to Star Blueprinting, $500 on account.
29 Cheque Copy

No. 108 to Municipal Telephone for payment of telephone bill, $200 plus HST of
$26, total $226.
31 Cheque Copy
The balances in the HST accounts for the previous period were: HST Recoverable
$890 and HST Payable $1410. Cheque 109 was written to the Receiver General
for $520 to clear the accounts for that period.

Journalizing these transactions.

Answers

Journalizing the transactions in the accounts of Mr. E. Terry's firm are as follows:

Debit Rent Expense $450

Debit HST Recoverable $58.50

Credit Cash $508.50

Debit Supplies $76.55

Debit HST Recoverable $9.95

Credit Accounts Payable (Glen Printing) $86.50

Debit Accounts Receivable (J. Greenley) $250

Credit Service Revenue $221.24

Credit HST Payable $28.76

Debit Cash $200

Credit Accounts Receivable (R. Grieve) $200

Debit Cash $85.50

Credit Service Revenue $76.66

Credit HST $9.84

Debit Drawings, Terry $490

Credit Cash $490

Debit Bank Charges $25

Credit Cash $25

Debit Accounts Payable (Star Blueprinting) $500

Credit Cash $500

Debit Utilities Expense $200

Debit HST Recoverable $26

Credit Cash $226

Debit HST Payable $1,410

Credit HST Recoverable $890

Credit Cash $520

Data Analysis:

a. Rent Expense $450 HST Recoverable $58.50 Cash $508.50

b. Supplies $76.55 HST Recoverable $9.95 Accounts Payable (Glen Printing) $86.50

c. Accounts Receivable (J. Greenley) $250 Service Revenue $221.24 HST Payable $28.76

d. Cash $200 Accounts Receivable (R. Grieve) $200

e. Cash $85.50 Service Revenue $76.66 HST $9.84

f. Drawings, Terry $490 Cash $490

g. Bank Charges $25 Cash $25

h. Accounts Payable (Star Blueprinting) $500 Cash $500

i. Utilities Expense $200 HST Recoverable $26 Cash $226

j. HST Payable $1,410 HST Recoverable $890 Cash $520

Learn more: https://brainly.com/question/16889477

: $800 invested at a 9% interest rate for 8 years.

Answers

Answer:

576$

Step-by-step explanation:

$800×9/100×8=576$

You would make $576. 800 at a 9% rate is $72 per year. 72x8 years is $576

2/5 x 3/7
What is the answer please.

Answers

Answer:

6/35 pls brainliest

Step-by-step explanation:

solve pls brainliest

Answers

Answer: (a.) +3 meters each second   (b.) +80 Celsius

Step-by-step explanation:

(a.) 18/6 =+3 meters each           (b.) 4*20=+80 Celsius

(b.) 4*every hour=

Why is it more difficult to get out of debt when only paying the minimum payment?
Your entire minimum payment goes toward principal and the interest continues to compound.
The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.
Your credit limit always resets, so you have a lot of spending power each month.

Answers

Answer:

The majority of your minimum payment is going toward interest and finance charges and only a small amount toward the principal.

Step-by-step explanation:

Please help !!!! TIA
Draw Venn diagrams to show the prime factors for each of the following sets of three numbers.
a. 12, 14, 70
b. 6, 7, 8

Answers

Answer:

See attached file.

Step-by-step explanation:

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