Given that f(x) = x2 + 12x + 35 and g(x) = x + 7, find (f:g)(x) and express
the result in standard form.

Answers

Answer 1

Answer:

x^3+19x^2+119x+245

Step-by-step explanation:

Answer 2

The required value of function (f:g)(x) would be (x + 5) which is the ratio of function f(x) and g(x).

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

Given that f(x) = x² + 12x + 35 and g(x) = x + 7

As per the question,

⇒ (f:g)(x) = (x² + 12x + 35) : (x + 7)

⇒ (f:g)(x) = (x² + 12x + 35) / (x + 7)

Solve the above quadratic equation, and we get

⇒ (f:g)(x) = (x² + 5x + 7x + 35) / (x + 7)

⇒ (f:g)(x) = x(x + 5) + 7(x + 5) / (x + 7)

⇒ (f:g)(x) = (x + 5)(x + 7) / (x + 7)

⇒ (f:g)(x) = (x + 5)

Therefore, the required value of function (f:g)(x) would be (x + 5).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2


Related Questions

3. A shoe store marks up its merchandise by 8%. What was the selling price of a pair of shoes whose
wholesale price is $24.50?

(Show The Work)

Answers

Answer:

The selling price of the shoes is $26.46.

Step-by-step explanation:

Given the following question:

8% of 24.50

To find the answer we will use the formula to calculate percentages, we multiply the percentage by the cost, then we divide that answer by 100. Finally, we add that answer to the original costs of the shoes to have our answer.

[tex]\frac{p~x~n}{100}[/tex]

[tex]\frac{8~x~24.50}{100}[/tex]

8 × 24.50 = 196

196 ÷ 100 = 1.96

8 of 24.50 is 1.96

Now Add

[tex]24.50+1.96=24.46[/tex]

The selling price of the shoes are $26.46.

~Hope this helps

~If you have any questions please ask.



Explain why the F-ratio is expected to be near 1.00 when the null hypothesis is true.

Answers

Answer:

the error term measures the same sources of variance as the numerator of the F-ratio

11. If the perimeter of the given triangle is more than 22 cm and less than or equal to 30cm. express it in inequality and solve it.​

Answers

Answer:

5 < x ≤ 7

Step-by-step explanation:

perimeter = 2x + x + x + 2 = 4x + 2

perimeter is more than 22 so 22 is less than perimeter , then

22 < 4x + 2 ≤ 30 ( subtract 2 from each interval )

20 < 4x ≤ 28 ( divide each interval by 4 )

5 < x ≤ 7

If the time is 19:28 and you add 10 hours 42 minutes. What time is it?

Answers

Answer:

The answer is 7:10 clock

if diameter of a bagel is 4.2inches what is radius in inches

Answers

Answer:

Radius: 2.1Inches

Step-by-step explanation:

Circumference

Circumference is the linear distance around the circle edge.

Radius

The radius of a circle is any of the line segments from its center to its perimeter. The radius is half the diameter or r = d

2

.

Diameter

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The diameter is twice the radius or d = 2·r.

The Greek letter π

π represents the number Pi which is defined as the ratio of the circumference of a circle to its diameter or π = C

d

. For simplicity, you can use Pi = 3.14 or Pi = 3.1415. Pi is an irrational number. The first 100 digits of Pi are: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Find the value of x.

Answers

Answer:

41

Step-by-step explanation:

76, x and 63 are linear pair angles.

Sum of linear pair angles is 180,

76 + x + 63 = 180

x + 76 + 63 = 180

x + 139 = 180

x = 180 - 139

x = 42

X is 41

A straight line is 180 degrees so i do 76+63 which is 139 and 180-139 which is 41

1 chicken nugget plus 98 chicken nugget is how many?

Answers

Answer:

99 chicken nugget is the answer. Hope this helped. :)

Step-by-step explanation:

Answer:

99 chickie nuggets

Step-by-step explanation:

You helped 3.6 customers per half hour yesterday so I helped how many customers in 7,.5 hours yesterday

Answers

You helped 54 customers.

Step-by-step explanation:

I guess, "you" and "I" are working with the same efficiency and work rate.

and with the typos in it, it is not clear, if I understood the problem and the given data properly.

but based on what I understood :

so, 3.6 customers in 0.5 hours.

7.5 hours × 2 = 15 times 0.5 hours.

15 × 3.6 = 54 customers.

so, with the same work rate as you, I helped 54 customers in 7.5 hours.

The cost of renting a car is $43/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=43+0.25x, where x is the number of miles traveled. a. What is your cost if you travel 52 miles? The cost is $ Number . b. If your cost was $59.25, how many miles were you charged for traveling? You were charged for traveling Number miles. c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Answers

Answer:

See attachment

Step-by-step explanation:

On attached image.

solve for m
2/5 = m/70 =
show work and order of operations

Answers

Answer:

m = 28

Step-by-step explanation:

70 × 2 = 5m

140 = 5m

28 = m

ASAP !!! I need help on the last question

Answers

Answer:

Add all the numbers and then divide it by the numbers present the answer will be 77.8 after that you round it to a whole number to get 78

can someone pls help me with this i will mark brainliest

Answers

C-4 miles because he’s running from the bike
Answer: Choice B) 3 miles

You have the correct answer. Nice work.

=======================================================

Explanation:

Let's say Phil passes his brother at a sign post, and let's say the sign post is x miles into the 6 mile hike. This means 0 < x < 6.

Once Bill reaches the sign post, he turns around to walk back x miles. His faster brother Phil bikes the remaining 6-x miles to the trail end, before coming back to bike an additional 6 miles to get to the trailhead again. Phil arrives back at the same moment Bill does.

Overall, Phil travels 6-x+6 = 12-x miles in the same amount of time Bill walks back x miles. I recommend drawing out a number line diagram to see why this is the case.

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

For Bill, we have this equation

distance = rate*time

x = r*t

r = x/t

Phil has the equation

distance = rate*time

12-x = (3r)*t

Notice that Phil's rate is three times that of Bill. The t is the same for both brothers because they travel in the same timespan.

Plug in r = x/t and solve for x. The t variables divide and cancel.

12-x = 3*(r)*t

12-x = 3*(x/t)*t

12-x = 3x

12 = 3x+x

4x = 12

x = 12/4

x = 3

Phil passed Bill at the 3 mile marker.

This is why the answer is choice B.

(i need help...plsssss) (50 Points)
A scatter plot shows the relationship between the average daily temperature and the number of beach visitors to a water park. Which statement would be the most reasonable description of data depicted in the graph?

1.) The number of visitors to the water park decreases as the temperature increases.
2.) The number of visitors to the water park increases as the temperature increases.
3.) The number of visitors to the water park increases as the temperature decreases.
4.)There is no correlation

Answers

You need to add or subtract

You are missing graph.. Since you are missing graph if this graph below is the graph. Here your answer.

Answer:

As the daily temperature increases, the number of beach visitors increases.

Step-by-step explanation:

Base on the graph.. You can see that  the dot getting higher and higher. That increase..  As well as you can see that it label temperature and beach visitors.

~Learn with Lenvy~

Barbra earns $2345 per month. 20% is taken out of her paycheck for federal and state taxes. Last month she spent $754 for rent and $283 for food.
What percent of her take-home pay (amount after taxes) did she spend on food? ​

Answers

Answer:

I think it would be 568 I'm not the best at math though so I might be wrong

Help math math math math

Answers

Answer:

I think it is A if he is talking about the trend line is falling. If it is increasing then choose B.

Step-by-step explanation:

Answer:

I saw this question before and I am 99.99% sure it is A.

Please let me know if I am mistaken!

O
3
1 point
Select the correct symbol to compare the two numbers.
0.934 0 0.93

Answers

Answer:

00.9

Step-by-step explanation:

Hope I hep. uuuuuuuuu

Calculate the quantity 87.3cm-1.655cm

Answers

it’s 85.645

just make 87.3 into 87.300 to make both number have the same amount of decimal places and just subtract normally after.
The correct answer is 85.645

Have a nice day :)

Brainliest if correct

Answers

Answer:

−16x+5?

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

4 * (-4) + 5

-16 + 5

-11

I hope this helps! :) Have a lovely day!!

The temperature at Frozen Lake, Colorado, dropped to or last night. Select all values that represent the opposite of this temperature.
А. 7
B. -7
C. (-7)
D. -(7)
E. -(-7)

Answers

Answer:

i have the same question

Step-by-step explanation:

it is positive 7

Maya is comparing the prices of 3 brands of canned vegetables.
Brand A is a 16-ounce can and costs $0.89. Brand B is a 32-ounce
can and costs $1.75. Brand C is sold as three 16-ounce cans and
costs $2.65. Which brand is the cheapest per ounce?
A. Brand A
C. Brand C
B. Brand B
D. You need more information.

Answers

Brand C is the cheapest per ounce among Brand A and Brand B. So option B is the correct answer

Brand A is a 16-ounce can and costs $0.89

Brand B is a 32-ounce can and costs $1.75.

Brand C is sold as three 16-ounce cans and costs $2.65.

What is an equation?

If two expressions are connected with equal sign is called equation.

16a=0.89

32b=1.75

3(16c)=2.65

a=0.055

b=0.0546

c=0.0552

Therefore brand B is the cheapest per ounce

To learn more on equation click here:https://brainly.com/question/8743486

#SPJ2

9/20 + 2 9/10 or nine twentieths plus two and nine tenths

Answers

So, first we have to put in an equation

9/20+ 2 9/10

multiply 9/10 by 2

So you get 9/20+ 2 18/20

Add the fractions together and you'll get 26/20

since their isn't a whole number a whole number it's just 2 and 26/20 reduce it to

2 and 9/5

I hope this is right. This is how I was taught.

Need help with math probelm if do 5 stars and brainly points

Answers

Answer:

15 cm squared

Step-by-step explanation:

First we solve the area for the first triangle:

h(b)/2 = area

3(5)/2 = 7.5

Now since there are 2 triangles, we multiply it by 2 to get the area of both put together :)

7.5 x 2

15

Have a great day!!

Please rate and mark brainliest!!

Answer:

  15 cm²

Step-by-step explanation:

The formula for the area of a parallelogram is ...

  A = bh

Using the given dimensions, we find the area to be ...

  A = (5 cm)(3 cm) = 15 cm²

Find the greatest common factor of
36, 48, 80.

Answers

Answer: 4!!!!!!!!!!!!!!!

Solve for x 3(x-8)=-29.7

Answers

Answer: x= -1.9

Step-by-step explanation:

It’s solved frl and I think the answer is 29.7

1. Graph the system of inequalities
2x+3y 32
x+2y<2



Please help?

Answers

Answer:

2x+3y . 32 = 2x + 96y

x+2y<2 = 2x +96y

Step-by-step explanation:

What is 3.56×10 to the power of -5 in standard form

Answers

It is in scientific notation. Standard form would be found by shifting the decimal point 5 places to the left: 0.0000356

Algebra 1 - Midterm Part 2 - Common
1. When Joe graduated from college, he had $1000 in his savings
account. When he began working, he decided he would add $120
per month to his savings account.
a. Write a linear equation to
compute the amount of
money, y, in Joe's account
after x months of saving.
ons of saving
b. Graph the line.
c. Use the equation to compute the amount of money in Joe's
account after 6 months.
So is among
d. Joe needs $3160 for a down payment for a car. How long will
it take for Joe's account to reach this amount?

Answers

The linear equation is y = 1000 + 120x, at the end of 6 months, Joe will have $1720 in his account and Joe needs to save for at least 18 months in order to afford the down payment.

Data;

Initial savings = $1000Recurrent = $120

a)

Linear Equation

The linear equation to compute the amount of money (y) he has after x months of savings

This can be written as

[tex]y = 1000 + 120x\\[/tex]

b)

Graphing this line, see attachment

c)

The amount Joe has after 6 months

[tex]y = 1000 + 120x\\x = 6\\y = 1000 + 120(6)\\y = 1000 + 720\\y = 1720[/tex]

after 6 months, Joe will have $1720 in his account.

d)

Joe needs $3160 down payment for a car, he would have to save x number of months.

[tex]3160 = 1000 + 120x\\120x = 3160 - 1000\\120x = 2160\\\frac{120x}{120} = \frac{2160}{120} \\x = 18[/tex]

Joe needs to save for at least 18 months in order to afford the down payment.

Learn more on linear equation here;

https://brainly.com/question/14323743

-1.2(10 - 5c) = -14c - 52

Answers

Answer:

c=−2

Step-by-step explanation:

Emily’s parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded semiannually,what will be the balance after 18 years?

Answers

Answer:

$6,427.94

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

any one to be my best friend for help
[tex]965 \times 2855 \div 5526526 - 55515 + 5652 \times 5263[/tex]
do this bro​

Answers

Answer:

-29801986.014846

Step-by-step explanation:

this is answer

Other Questions
15) An electrician charges $15 per service call plus $25 an hour. The total bill for a recent job was $90. Howmany hours did the electrician work? one of your parents ___ required to be at the meeting. are, am, is were A rectangle is inscribed in a circle17 in.18 in.15 in.Part ACalculate the exact area of the cirde. Use the key on the calculator. Round answer to the nearest hundredth if necessarysquare inchesPart BCalculate the area of the rectangle. Round answer to the nearest hundredth if necessaryA=square inchesPartCalculate the area of the shaded regionArea of the shaded regionsquare inches There where 6 karens.2 of them whanted to speek to the manger.There where 2 mangers and 1 of te mangers was out sick how many karens and mangers are in the store?[tex]6+1=[/tex] Burning question: is it possible for life to thrive on earth without soil? are small unmarked stones with sharp edges evidence of early humans? why or why not? how the formal and informal powers of the president impact the executive branch?help me help me help me help me help me please if humans didn't exist what would the world be right now and the life on it what fraction of the year is 3 month? 3/4 ___________________ *NEED HELP ASAP*ASL 1Which one of these signs does not use the AM/PM?DoctorTeacher Student Artist Where does mountain formation generally occur?A. Transform and convergent boundaries B. Divergent and convergent boundaries C. Transform boundaries D. Divergent boundaries What are some consequences of poor forecasting? Why is this group of words not a sentence? When I won . It is not a complete thought. OB. It does not have a subject. O c. It does not have a noun. OD. It does not have a verb. The number of words Gabriel can type varies directly with time. Gabriel can type 90 words in 65 seconds. Which equation can be used to find w, the number of w Gabriel can type at this rute in 125 seconds? w = 90/65 (125)w = 90(125)/125w = 125/ 90/ (65)w = 65/90 (125) Write a letter to your friend in another school telling him or her your plans for this academic year What kind of state should be referred to as a republic according to rousseau Who is the best example of the Enlightenment spirit?a.George Whitefield b.Benjamin Franklin c.Jonathan Edwards d.James Oglethorpe Berkshire Inc. had revenues of $379,000 in its first year of operations. The company has not collected on $45,900 of its sales and still owes $38,500 on $160,000 of merchandise it purchased. There was no inventory on hand at the end of the year. The company paid $33,200 in salaries. The owners invested $46,000 in the business and $21,000 was borrowed on a five-year note. The company paid $1,890 in interest that was the amount owed for the year and paid $8,500 for a two-year insurance policy on the first day of business. Ignore the income tax effect, the net income for the first year for Berkshire is: Multiple Choice $219,000 $262,590 $179,660 $185,800 Accidents and their causes At which stage is glucose broken into smaller molecules? O before cellular respiration begins Oduring the first stage of cellular respiration during the second stage of cellular respiration Oat the end of cellular respiration