if f(x)=2x+6 , g(x)= - 5x - 9 what is the product of and g?

Answers

Answer 1

Answer:

f(x) * g(x) = -10x2 - 48x - 54

Step-by-step explanation:

(2x+6) * (-5x-9)

-10x2 - 18x - 30x - 54

-10x2 - 48x - 54


Related Questions

Stephen was thinking of a number. Stephen doubles it, then adds 11 to get an answer of 47.7. What was the original number?

Answers

The original number in the statement is 18.5

How to determine the original number?

The statements in the question are given as:

A number. Doubles the numberAdds 11 to the numberResult =  47.7

Let the number be x

So, we have the following equation

2x + 11 = 47.7

Subtract 11 from both sides

2x = 36.7

Divide by 2

x = 18.35

Hence, the number is 18.35

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Can someone help me with this?

Answers

-6 because -10 is 6. -5 is 3. 0 is 0. 5 is -3. 10 is -6

Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:

Water pressure can be measured in atmospheres (atm). Use the infomation in the graph to write an equation that models the pressure (y) at depth (x).

Answers

The linear function for the given graph is y = x + 0.1

What is a linear function?

The graph of a linear function is a straight line. The following is the form of a linear function. y = mx + b. One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.

The coordinates of the given graph are (0,1) and (10,2)

Then, slope (m) = (2-1)/(10-0) = 1/10 = 0.1

y-intercept (b) = 1

Then, y = 1x + 0.1

Hence, the linear function for the given graph is y = x + 0.1

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At as sale, suits were sold for $72 each. This price was 45% of a suits original price. How much did a suit originally cost?

Answers

Answer: 1680. The answer is 1680 because 56% of 3000 is 1680 people.

Answer:

The suit orginally costed $160 dollars.

Step-by-step explanation:

What is the value of Negative 3 squared + (negative 4 + 7) (2)?
–28
–3
3
15
I am on a unit test hurry please

Answers

-3^2+(-4+7)(2)

answer = 15

Answer:

15

Step-by-step explanation:

a negative number squared is positive, so its 9 + (-4 + 7)*2. 7-4 is 3, which we then multiply by 2 to get 6. Now add that to 9 to get 15.

Hope this helps!

Will give brainliest

Answers

Answer:

-5

Step-by-step explanation:

y (4) need to times 2.5 to be 10

so, x (-2) needs to times 2.5 to be the answer

-2 * 2.5 = -5

18=6h+2h pls help me with this answer im not understandin it

Answers

Answer:2.25 or 9/4

first we need to add 6h and 2h together, and we get 8h, and we divide 8 both side will get the fraction 18/8 and we can simplify will get 9/4 if you want more simple and will become 2.25

What is the range of the function shown ???

Answers

Answer:

option number 2

Step-by-step explanation:

you can see inital and final co ordinate

Answer:

y > -2

Step-by-step explanation:

The range of a function is the set of all possible output values (y-values).

From inspection of the given graph:

The y-value of the lowest point of the curve is just above y = -2.The y-value of the highest point of the curve is more than y = 3.

Therefore, the most appropriate range from the given answer options is:

y > -2

Note:  The graph appears to be the exponential function  [tex]y=2^x-2[/tex]  with a horizontal asymptote at y = -2.  This means that the curve will get closer and closer to y = -2 as x approaches negative infinity, but it will never touch it.  The function approaches infinity as x approaches infinity.  Therefore, the range for this function is y > -2

Help please asap!!
A- z=15
B- z= 20
C- z=23
D- z=41

Answers

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15

why did the chicken cross the rode

Answers

Answer: y did the chicken cross the road

Step-by-step explanation: ??????

To get to the other side


John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.

Use the on-screen keyboard to type the inequality that represents this situation in the box below.

Answers

Answer:

Step-by-step explanation:

he could buy 2 pounds of chocolates and save $1.

$12,800 a year, about 15% is taken out for taxes. How much is taken out for taxes?

Answers

Answer: 1920

Step-by-step explanation:

Take the given amount: $12,800
2
10
It can be expressed as the percentage when the given expression is multiplied with 15%

=($12800×15%)

Simplify the above expression -
=(128×100×15100)
=
(
128
×
100
×
15
100
)

Common factors from the numerator and the denominator cancels each other. Therefore, remove from the numerator and the denominator.
=(128×15)
=
(
128
×
15
)

Simplify the above expression finding the product of the terms.
=1920$
=
1920
$


Hence, $1920
$
1920
was taken out for the taxes.

On Saturday, the Milleman Family had dinner at a restaurant. They ordered 3 pizzas and 2 cheeseburgers for $41.50. The following weekend, the Anderson Family had dinner at the same restaurant where they ordered 2 pizzas and 5 cheeseburgers for $43.25. Which system of equations can be used to determine the cost of one pizza (p) and one cheeseburger (c)?

Answers

Answer:  $8.64 and $7.79 respectively.

 

Step-by-step explanation: To determine the cost of one pizza and one cheeseburger, we can set up the following system of equations:

3p + 2c = 41.50

2p + 5c = 43.25

The first equation represents the total cost of the Milleman Family's meal, where 3p represents the cost of 3 pizzas, 2c represents the cost of 2 cheeseburgers, and 41.50 represents the total cost of the meal. The second equation represents the total cost of the Anderson Family's meal, where 2p represents the cost of 2 pizzas, 5c represents the cost of 5 cheeseburgers, and 43.25 represents the total cost of the meal.

By solving this system of equations, we can determine the cost of one pizza and one cheeseburger. For example, we can use the elimination method to solve the system of equations as follows:

First, we can multiply the first equation by 5 and the second equation by 3 to get the following equations:

15p + 10c = 207.50

6p + 15c = 129.75

Next, we can subtract the second equation from the first equation to eliminate the c terms and find the value of p as follows:

15p + 10c = 207.50

6p + 15c = 129.75

9p = 207.50 - 129.75

9p = 77.75

p = 77.75 / 9

p = 8.64

Finally, we can substitute the value of p that we found into one of the original equations to find the value of c as follows:

3p + 2c = 41.50

3(8.64) + 2c = 41.50

25.92 + 2c = 41.50

2c = 41.50 - 25.92

2c = 15.58

c = 15.58 / 2

c = 7.79

Therefore, the cost of one pizza is $8.64 and the cost of one cheeseburger is $7.79.

You withdraw $375 from your bank account. You receive a stack of 24 bills consisting of $5, $10, and $20 bills. The number of $5 bills is one-half the number of $10 bills. How many of each type of bill do you receive?

Answers

The number of $ 5 bills = 3

The number of $ 10 bills = 6

The number of $ 20 bills = 15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount be = $ 375

Let the total number of bills = 24

Let the number of $ 5 bills be = x

Let the number of $ 10 bills be = y

Let the number of $ 20 bills be = z

The total number of $ 5 bills x = ( 1/2 ) x number of $ 10 bills

So , x = y/2

Now , the equation will be

The total number of bills = x + y + z

So , x + y + z = 24   be equation (1)

And ,

The total amount = 5x + 10y + 20z

So , 5x + 10y + 20z = 375

Divide by 5 on both sides , we get

x + 2y + 4z = 75   be equation (2)

On simplifying equation (1) and equation (2) , we get

x + y + z = 24

Substituting the value of y , we get

x + 2x + z = 24

3x + z = 24   be equation (3)

And ,

x + 2y + 4z = 75

x + 4x + 4z = 75

5x + 4z = 75   be equation (4)

Multiply equation (3) with 4 , we get

12x + 4z = 96   be equation (5)

Subtract equation (4) from equation (5) , we get

7x = 21

Divide by 7 on both sides , we get

x = 3

Therefore , the number of $ 5 bills is 3

Substitute the value of x , we get

y = 2x

y = 6

Therefore , the number of $ 10 bills is 6

Substitute the value for x and y in equation (1) , we get

x + y + z = 24

3 + 6 + z = 24

z + 9 = 24

Subtract 9 on both sides , we get

z = 15

Therefore , the number of $ 20 bills is 15

Hence ,

The number of $ 5 bills = 3

The number of $ 10 bills = 6

The number of $ 20 bills = 15

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Square MNOP with vertices M(-7,-4),
N(-4,-3), O(-3, -6), and P(-6, -7): k = 2

Answers

The image of the scaled copy of the square is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

What is dilation?

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.

How to determine the image of the scaled copy of the square?

From the question, we have the following parameters that can be used in our computation:

Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): Scale factor of dilation, k = 2

This means that

Scaled copy = Scale factor * Vertices of MNOP

So, we have

M'N'O'P' =M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7)* 2

Evaluate

M'N'O'P' =M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

Hence, the image of the dilation is M'(-14,-8), N'(-8,-6), O'(-6, -12), and P'(-12, -14)

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Complete question

Given that Square MNOP with vertices M(-7,-4), N(-4,-3), O(-3, -6), and P(-6, -7): k = 2

Calculate the image of the scaled copy

cos \theta =-(5)/(13) ∅and sin θ > 0. Identify the quadrant of θ and find sin θ.

Answers

Answer: D. Qufdrant: II

                   sinΘ=12/13

Step-by-step explanation:

[tex]\displaystyle\\cos\theta=-\frac{5}{13} \ \ \ \ sin\theta > 0\\\\sin^2\theta+cos^2\theta=1\\\\sin^2\theta=1-cos^2\theta\\\\sin\theta=б\sqrt{1-cos^2\theta} \\\\sin\theta > 0, \ \ hence\\\\sin\theta=\sqrt{1-cos^2\theta} \\\\sin\theta=\sqrt{1-(-\frac{5}{13})^2 } \\\\sin\theta=\sqrt{1-\frac{25}{169} } \\\\sin\theta=\sqrt{\frac{169-25}{169} } \\\\sin\theta=\sqrt{\frac{144}{169} } \\\\sin\theta=\frac{12}{13}[/tex]

[tex]\displaystyle\\\left \{ {{cos\theta < 0} \atop {sin\theta > 0}} \right. \ \ \ \ \Rightarrow\ \ \ \ quadrant\ II[/tex]

Mia is traveling from her house to her sister’s home. She took the bus to the car rental lot and is now driving the rest of the way at a constant rate of speed. What does the -intercept represent in this problem?
the distance (mi) that Mia traveled on the bus to the car rental before she started driving the car
the distance (mi) that Mia traveled from the car rental lot to her sister's home
the amount of time (hr) elapsed for every mile the car travels from the car rental lot
the distance (mi) the car travels from the car rental lot for every 1 hour elapsed

Answers

Answer:

The distance (mi) the car travels from the car rental lot for every 1 hour elapsed.

Step-by-step explanation:

(3.76x 10-8 )-(2.94 x 10-8)
Write your answer in scientific notation

Answers

Hope this helps you

PLEASE SHOW ALL STEPS AND EXPLAIN

Answers

The greatest common factor will be 8.

What is common factor? What is a mathematical equation? What is Probability?A common factor is a whole number which is a factor of two or more numbers. The highest common factor (HCF) is the greatest factor that will divide into two or more numbers. The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have three numbers 24, 56 and 72.

The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24

The factors of 56 are : 1, 2, 4, 7, 8, 14, 28, 56

The factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Therefore, the greatest common factor will be 8.

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describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7

Answers

The mean of the given sample data is 210, and the standard deviation is 7.937.

Given size 'n' = 300

The population proportion 'p' = 0.7

Let 'x' be the random variable of the binomial distribution

a)  mean of the binomial distribution  = n p = 300 × 0.7

                                                              μ  = 210

b)  variance of the binomial distribution

⇒ n p q

⇒ 300 × 0.7 ×0.3

⇒ σ² = 63

The standard deviation of the binomial distribution:

⇒ √n p q = √63 = 7.937

Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.

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The question seems to be incomplete the correct question would be:

describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution

You decide to buy a refurbished computer for $550.00 plus 6% sales tax. BB Electronics allow you to take out a no-interest loan for 12 months, and after that the interest rate is a 13.25% APR. You must make payments of $25/month, and if you miss one payment you are assessed a late fee of $29.00 plus 13.25% APR interest beginning from the date of purchase.

You missed the second payment. What is the amount of interest of the bill you will receive?

Answers

The interest on the bill will be calculated as follows:

Amount of Loan = $550

Sales Tax = 6% of $550 = $33

Total Loan = $550 + $33 = $583

Interest = 13.25% APR x $583 = $77.13

Late fee = $29

Total Interest = $77.13 + $29 = $106.13


Isaiah is trying to buy dry-erase markers for his teachers during teacher appreciation week. He
is able to collect 12 markers a day and started off with 15. How many days will it take him to get
to 135 markers? Make an equation to solve the problem using m for markers and d for days.

Answers

Answer:

It will take him 10 days to get to 135 markers.

[tex]d=12m+15[/tex]

Step-by-step explanation:

(attached)

Convert 8 weeks into days.
*Note: you must use these exact conversion factors to get this question right.

Answers

Answer:56 days

Step-by-step explanation:8 weeks*7 days= 56 days total

A professor had students keep track of their social interactions
for a week. The number of social interactions over the week is
shown in the grouped frequency distribution. Identify the lower
limit of the fifth class.
The lower limit of the fifth class is
(Type a whole number.)

Answers

The lower limit of the fifth class for the track of social interactions

for a week is 50.

Explain the term lower limit of the class?The frequency distribution has an upper class limit and a lower class limit for each class.The smallest data point that really can correspond to a class is known as the lower class limit. The largest data object that can be a member of a class, or upper class limit.

Allow the class intervals to be 30 - 34, 35 - 39, 40 - 44, 45 - 49, 50 - 54, etc. for some aggregated data.

In this case, the distribution is continuous, and all of the class intervals overlap.

Fifth class ; 50 - 54,

The class boundaries of the range from 50 - 54, 50 is the lower limit while 54 is the upper limit.

Thus, the  lower limit of the fifth class for the track of social interactions

for a week is 50.

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Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.
Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - r

A. If the daily wage keeps doubling, what would your income be on day 31? Give your answer in dollars NOT pennies.
Income on day 31 = $ __________

B. If the daily wage keeps doubling, what will your total income be for working 31 days? Give your answer in dollars NOT pennies.
Total Income for working 31 days = $ _________

Answers

a. Your income on the 31st day is given as follows: $10,737,418.24

b. Your total income for working 31 days is of: $21,474,836.47

What is a geometric sequence?

The definition of a geometric sequence is given as follows:

[tex]a_n = a_1(r)^{n - 1}[/tex]

In which the terms are given as follows:

[tex]a_1[/tex] is the first term.r is the common ratio of the sequence.

In a geometric sequence, each term is the multiplication of the previous term by the common ratio.

The sequence in this problem is given as follows:

(0.01, 0.02, 0.04, ...).

Hence the first term and the common ratio of the sequence are given as follows:

[tex]a_1 = 0.01, q = 2[/tex]

Thus the definition is of:

[tex]a_n = 0.01(2)^{n - 1}[/tex]

The income on the 31st day is of:

[tex]a_{31} = 0.01(2)^{30} = 10,737,418.24[/tex]

The sum of the first n terms of a geometric sequence is given as follows:

[tex]S_n = a_1\frac{1 - r^n}{1 - r}[/tex]

Then the sum of the first 31 terms is of:

[tex]S_{31} = 0.01\frac{1 - (2)^{31}}{1 - 2} = 21,474,836.47[/tex]

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Which expression is equivalent to 27 + 63 ? 3(9 + 18) 9(3 + 7) 21(7 + 3) 7(21 + 9)

Answers

Which expression is equivalent to 27 + 63 ?

3(9 + 18)

9(3 + 7)

21(7 + 3)

7(21 + 9)

5. -4h + 3 + Th ≥ 9h - 21

Answers

Hope this helps you and was the number 5 part of the problem ? If yes lmk I’ll correct the answer

Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.​

Answers

Refer to the photo taken.

Will give brainliest

Answers

Answer:

The first one is B

The second one is The y intercept is 8

Step-by-step explanation:

can you help me with this

Answers

The result of the definite double integral over the interval is given as follows:

[tex]\int\int_D f(x,y)dxdy = -120[/tex]

How to solve the double integral?

The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.

Considering the function and the region, the complete integral in this problem is given as follows:

[tex]\int_{-4}^{2}\int_{-4}^{2} (3x + y)dxdy[/tex]

Then the inner integral in this problem is given as follows:

[tex]I = \int_{-4}^{2} (3x + y)dx[/tex]

We are integrating the variable x, then the variable y is a constant, as thus the result is given as follows:

I = 1.5x² + xy, from x = -4 to x = 2.

Then, applying the Fundamental Theorem of Calculus, the result is given as follows:

I = 1.5(2)² + 2y - 1.5(-4)² + 4y = 6y - 18.

Then the outer integral is calculated as follows:

[tex]O = \int_{-4}^{2} 6y - 18[/tex]

Then the result is given as follows:

O = y² - 18y, from y = -4 to y = 2.

O = (2)² - 18(2) - (-4)² + 18(-4)

O = -120.

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What were some of the changes that the NEW Meiji Japanese government created? Check/Select ALL that apply. A. Capital of Japan is moved from Kyoto to Edo. B. Edo is renamed to Tokyo which means "Eastern Capital." C. The emperor is going to RULE Japan. D. The Japanese start feudal polices or Japanese feudalism. mastertech furniture company makes chairs. when walmart orders finished chairs from mastertech, it creates what type of demand on inventory? 1) A song cycle consists of about 8-20 songs that work together to __________.A) achieve political goalsB) create music for dancingC) provide ambient music*D) tell a storyE) All of the aboveF) None of the aboveQ A shopper in a super market pushes a loaded acrt with a horizontal force of 12 n. how far will the cart move in 3.5 s starting from rest? how far will the cart move in 3.5s if the per places an 85 n child in the cart is pushing Select the type of interaction which best describes the attraction between mg2+ ions and water molecules. the combustion of ammonia in the prescne of excess oxygen yield no2 and h2o. how many grams of no2 are produced when 43.9mg of ammonia burn how is factoring symbolically and factoring with algebra tiles similar Money represents anything that can be exchanged for goods and services or for the: a. return of defective goods. b. payment of debt. c. benefits of ownership. d. personal well-being of holders. The ground shakes during an earthquake because of which type of waves? a. ocean waves b. permanent waves c. seismic waves d. sine waves How many solutions does this equation have. QUESTION BELOW please help susan works in the research and development department. she recently purchased a large high-speed external drive and has attached the drive to her computer using a usb cable. her drive requires a minimum data transfer speed of 5 gbps and needs to have access to 600 ma/15 volts of usb power to function properly. although the correct drivers are installed, when she plugs her drive into her workstation, the drive is not working. to troubleshoot the problem, she has connected her drive to her coworker's computer, where the drive functions properly. no additional cables are required for this drive. which of the following is the most likely reason that susan's external hard drive is not working? A nurse is assessing a client who reports increased pain following physical therapy. Which of the following questions should the nurse ask when assessing the quality of the client's pain?a. "Is your pain constant or intermittent?"b. "What would you rate your pain on a scale of 0 to 10."c. "Does the pain radiate?"d. "Is your pain sharp or dull?" a spring has a natural length of 12.0 cm. if a 26.0-n force is required to keep it stretched to a length of 26.0 cm, how much work w is required to stretch it from 12.0 cm to 19.0 cm? (round your answer to three decimal places.) taking negative measures to shift the satisfaction level in the buyer-seller relationship may achieve long-term objectives, but may negatively affect the relationship in the short-term. A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 6 tables is $54 . The total cost to rent 5 chairs and 3 tables is $36 . What is the cost to rent each chair and each table? Which of these best summarizes Don Quixote's notion in paragraph 4?A. He decides he shouldn't have children.B. He decides he should no longer stay at home reading because it is not worthwhile.C. He decides he should live like a knight.D. He decides he should learn to ride a horse. suppose that a planet was reported to be orbiting the sun-like star iota horologii with a period of 300 days. find the radius of the planet's orbit, assuming that iota horologii has four times the mass as the sun. suppose you have a collection of 24 candles. there are 6 candles each of 4 different colors, and they are identical in every other way. how many different ways can 6 candles be chosen? what do we call ethnically distinct groups of foragers, horticulturalists, and pastoralists who occupy their historic homelands and who are politically subordinate to larger national governments? Can anyone help me with this?8^5/8^3