If f(x)=3(x+5)+4/x what is f ( a+2 )

Answers

Answer 1

[tex]f(x)=3(x+5)+\dfrac{4}{x}\\\\f(a+2)\to\text{put x = a + 2 to the equation of the function f}\\\\f(a+2)=3(a+2+5)+\dfrac{4}{a+2}=3(a+7)+\dfrac{4}{a+2}[/tex]

Answer 2

Answer:

The value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].

Step-by-step explanation:

Consider the provided function [tex]f(x)=3(x+5)+\frac{4}{x}[/tex]

In order to find the value of [tex]f(a+2)[/tex]

Substitute x = a + 2 in the provided function.

[tex]f(a+2)=3((a+2)+5)+\frac{4}{a+2}[/tex]

[tex]f(a+2)=3(a+2+5)+\frac{4}{a+2}[/tex]

[tex]f(a+2)=3(a+7)+\frac{4}{a+2}[/tex]

Now, apply the distributive property: [tex]a(b+c)=ab+ac[/tex]

[tex]f(a+2)=3a+21+\frac{4}{a+2}[/tex]

Therefore, the value of [tex]f(a+2)[/tex] is [tex]3a+21+\frac{4}{a+2}[/tex].


Related Questions

Deja enlarged quadrilateral A proportionally.She made each side 4 times as long.
Use the drop-down menus to complete the statements below.

Answers

The answer should be that the angles stayed the same.

An example for this would be a right angle. If you double the size of a right angle, the angle itself does not change. The size might, but not the angle itself. It is still going to be a right angle. This is the case with all other angles.

Answer:

16 and stayed the same

Step-by-step explanation:

An airplane is flying 2250 feet in the air. A submarine submerged 1300 feet below sea level. What is the difference in elevation between the airplane and the submarine?

Answers

2250+1300= 3550 and that is your answer

pls help. i am new and i want to know if thise app works

Answers

aw yeah hon it works :) welcome. -20

10am - 2pm = 4 hours
4 x (-4 degrees) = -16 degrees
Therefore, the integer -16 degrees represents the change in temp from 10am to 2pm.

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses?Explain.

Answers

Yes due to the fact that additive inverse is the oppsite. so she runs up +4 and runs down -4.

How do you write 75% as a fraction.

Answers

There is not much that can be done to figure out how to write .75 as a fraction, except to literally use what the decimal portion of your number, the .75, means. Since there are 2 digits in 75, the very last digit is the "100th" decimal place. So we can just say that .75 is the same as 7/100.

75% can be written as 75/ 100.
After that you need to simplify the fraction into 3/ 4

Which values have exactly 2 significant figures? Check all that apply.
A. 302 yards
B. 980 gallons
C. 1,200 feet
D. 84 liters
E. 6,040 meters

Answers

ANSWER

Options B, C and D have exactly 2 significant figures.


EXPLANATION

To see whether the numbers have exactly 2 significant figures, round all to 2 significant figures. The ones that remains the same have exactly 2 significant figures.


[tex]302\approx 300[/tex]yards to 2.s.f

[tex]980\approx 980[/tex]gallons to 2.s.f

[tex]1200\approx 1200[/tex]feet to 2.s.f

[tex]84\approx 84[/tex]litters to 2.s.f\

[tex]6,040\approx 6,000[/tex]meters to 2.s.f







Section a of a theater contains 12 rows of 15 seats each section b contains only 10 rows but had the same number of seats as section a

Answers

Final answer:

The question involves understanding multiplication and division principles. Section A has 180 seats in total (12 rows * 15 seats). Section B, having the same total number of seats but only 10 rows, would have 18 seats per row.

Explanation:

The question involves the basic principles of mathematics, specifically dealing with multiplication and division concepts. Section A of the theater has 12 rows of 15 seats each, which totals to 180 seats (12 * 15 = 180). As it is stated that Section B has the same number of seats as Section A but only consists of 10 rows, each row in Section B must, therefore, contain 18 seats (180 / 10 = 18).

This is an application of the principle that if a total quantity remains the same, and it is divided into fewer groups, then each group will contain more than before. Therefore, even though Section B has fewer rows than Section A, each row in Section B contains more seats, leading to the same total.

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There are 18 seats in each row of Section B.

To find out how many seats are in each row of Section B, let's first calculate the total number of seats in Section A:

Total seats in Section A = 12 rows × 15 seats per row = 180 seats

Since Section B has the same total number of seats as Section A but only 10 rows, we can find out how many seats are in each row of Section B by dividing the total number of seats in Section B by the number of rows in Section B:

Seats per row in Section B = Total seats in Section B / Number of rows in Section B

We already know the total seats in Section B is 180, and the number of rows in Section B is 10.

Let's plug these values into the formula:

Seats per row in Section B = 180 seats / 10 rows = 18 seats

The complete question is-

In a theater, Section A contains 12 rows of 15 seats each. Section B has the same total number of seats as Section A but contains only 10 rows. How many seats are in each row of Section B?

Hi can you guys help me? In 1,2,3 and 4?

Given the function, complete the table of values then graph the ordered pairs.

Answers

1. 3, -1, -5, -9

2. -5, -3, -1, 1

3. -2, 0, 2, 4

4. 6, 5, 4, 3

Hope this helps!

Final answer:

To complete the table of values and graph the ordered pairs for the function f(x) = 2x + 1, we substitute the x-values (1, 2, 3, 4) into the function to get the y-values (3, 5, 7, 9). The ordered pairs (1, 3), (2, 5), (3, 7) and (4, 9) are then plotted on the graph and connected with a line.

Explanation:

Given a function, you can complete the table of values by substituting the given x-values into the function to find the corresponding y-values. Following this, you can plot the ordered pairs on the graph. Let's assume the function is f(x) = 2x + 1. For x = 1, 2, 3, 4, you get the ordered pairs (1, 3), (2, 5), (3, 7) and (4, 9) respectively. Draw the corresponding points on a graph and connect them with a straight line if it's a linear function.

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An international company has 25,900 employees in one country if this represents 21.7% of the company’s employees how many employees does it have in total?
Round your answer to the nearest whole number

Answers

So what you have e to do is divide 25,900 by 0.217%(which is 21.7% divided by 100, you always have to divide percents by 100 when you are working with them) and that equals 119, 354. 8 people but we can round that to 119,355 people

A weather research airplane began descending from an altitude of 36000 feet above its base at a rate of 125 feet per minute how long did it take for the plan to land at its base

Answers

Hello! I would love to help!

Okay, basically, this problem is asking you to divide 36000 by 125 to get the number of minutes it takes.


36000/125=288

So, you could just say 288 minutes as your answer, but, let's put it in hours to be more realistic. There are 60 minutes in an hour, so let's divide it by 60.

288/60=4.8


.8 is equal to 48 minutes

So, 4 hours and 48 minutes is your answer, or 288 minutes!



Hope this helped! Comment if you have questions!

A recipe call for 5 teaspoons of seasoning for every 6 batches of chicken. If you have 12 batches of chicken, how many teaspoons of seasoning will you need?

Answers

You’ll need 10 teaspoons because 6 x 2 is 12, so 5 x 2 is 10

10 teaspoons:

6:5

12:10

Use the function below to find F(3). F(x)=(1/5)^x

Answers

Answer: 1/125

Step-by-step explanation:

apex answer. yw.

The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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A fair coin has been tossed 6 times and come up heads each time. What is the probability that the next toss will also be heads? A) 1 /12
B) 1/ 2 C) 1 3 D) 1/6

Answers

Answer:B


Step-by-step explanation:


Answer:

1/2

Step-by-step explanation:

3/8 ×4/5 = in simplest form

Answers

Final answer:

To find 3/8 multiplied by 4/5, multiply the numerators together and the denominators together and then simplify the resulting fraction. The solution in simplest form is 3/10.

Explanation:

To multiply two fractions, you multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together. For the multiplication of 3/8 × 4/5, we multiply the numerators 3 and 4 to get 12, and the denominators 8 and 5 to get 40.

The result of this multiplication is 12/40. However, this fraction can be simplified. We notice that both the numerator and the denominator are divisible by 4. Thus, we divide both by 4 to get the simplest form: 12 ÷ 4 is 3, and 40 ÷ 4 is 10, resulting in the fraction 3/10.

So, 3/8 × 4/5 in its simplest form is 3/10.

Identify the constant of proportionality in the equation. 5y = 35x A) 1 B) 5 C) 7 D) 35

Answers

Answer:

It's 7

Step-by-step explanation:

5y=35 the easiest way is 35/5=7 7x5=35

The value of constant of proportionality in the equation. 5y = 35x is,

⇒ 7

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The equation is,

⇒ 5y = 35x

Now, We can find value of constant of proportionality in the equation as,

⇒ 5y = 35x

Divide by 5;

⇒ y = 7x

Thus, The value of constant of proportionality in the equation. 5y = 35x is,

⇒ 7

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why do -3 2/7 and 3 2/7 have the same absolute value?

Answers

They're both 3 2/7 units away from 0, and so they have the same absolute value.
Absolute value is really just how far away a number from 0.
That's all I can really tell you.

L+15.2=-4.5
Solve for L explain

Answers

L= -19.7

You first subtract 15.2 on both sides because you need to get rid of the 15.2. 15.2-15.2=0 and you would be left with the answer L= -19.7
your answer will be -19.7
[tex] - 4.5 - 15.2 = - 19.7[/tex]

A quadratic equation of the form 0=ax^2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

Answers

None

If the discriminant b² - 4ac < 0

There are no real solutions


The equation has no real solutions because  the discriminant is -16.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We are given the quadratic equation by;

ax² + bx + c = 0

By using the quadratic formula,

x = [-b ± √b² - 4ac]/2a

The discriminant of a quadratic equation explains the nature of the roots of that quadratic equation.

If the discriminant is negative, then the equation has no real roots.

If the discriminant us positive, then the equation has two real roots.

If the discriminant is zero, then the equation has a repeated root.

Since the discriminant is -16, then the equation has no real roots.

b² - 4ac < 0. There are no real solutions

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A box contains 48 marbles.two-thirds of the marbles are red. Three fourths of the red marbles are striped. How many of the marbles in the box are red and have stripes.

Answers

24

Simply multiply all of the fractions with the total number of marbles

48(2/3)(3/4)

Final answer:

There are 24 marbles that are red and have stripes in the box, calculated by first determining the total number of red marbles (32) and then finding three-fourths of those to be striped.

Explanation:

The question involves finding out how many red and striped marbles are in a box, given that two-thirds of the marbles are red and three-fourths of the red marbles are striped. There are 48 marbles in total.

To find the total number of red marbles, we multiply the total number of marbles by two-thirds:

48 marbles × ⅓ (red marbles) = 32 red marbles

Next, to find out how many of the red marbles are striped, we multiply the number of red marbles by three-fourths:

32 red marbles × ¾ (striped marbles) = 24 striped red marbles

So, 24 of the marbles in the box are red and have stripes.


what is 48 over 25 rounded to the nearest quarter of an inch

Answers

Answer:

1.92 rounded to nearest quarter inch is 2

I rounded it to 2 inch

NEED HELP IMMEDIATELY Which expression is equivalent to one over four n − 16?
a. one over four(n − 4)
b. one over four(n − 64)
c. 4(n − 4)
d. 4(n − 64)

Answers

B. 1/4(n - 64)

Multiplying n and -64 by 1/4 leaves you with 1/4n - 16, the original equation.

-7 + 4n = 9

Show your work!

Answers

First of all, add 7 to both sides, in order to cancel the -7:

[tex] -7 + 4n +7= 9+7 [/tex]

As we said, the -7 on the left hand side cancels out, while we can add it to the 9 on the right hand side:

[tex] 4n = 16 [/tex]

Now, divide both sides by 4. As before, this is needed to cancel the four on the left hand side and isolate the x, while it is just a normal division between numbers on the right:

[tex] \dfrac{4n}{4} = \dfrac{16}{4} \iff x = 4 [/tex]

Rewrite the equation in an easier way: 4n-7=9

Add 7 to both sides: 4n-7+7=9+7... 4n=16

Divide both sides by 4: 4n/4=16/4

ANSWER: N=4


Clare made $160 babysitting last summer. She put the money in a saving account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount by 1.03. (A) How much momey will Clare have in her account after 1 year? After 2 years? (B) How much momey will Clare have in her account after 5 years? Explain your reasoning. (C) Write an expression for the amount of money Clare would have after 30 years if she never withdraws money from the account.

Answers

Solution-

Clare made $160 babysitting last summer. She put the money in a saving account that pays 3% interest per year.

It is a condition of compound interest with annually compounding.

We know that,

[tex]P'=P(1+r)^n[/tex]

Where,

P' = the money she will be getting after n years,

P = the money she deposited = $160

r = annual rate of interest = 3% = 0.03

n = number of years

Money she will be getting after 1 year

[tex]\Rightarrow P'=160(1+0.03)^1=160\times 1.03=\$164.8[/tex]

This is why when she multiply 1.03 with her current amount, she gets the amount she will be getting after one year.

Money she will be getting after 2 year

Taking current balance as $164.8 as at the end of one year it will be the base amount on which interest will be calculated,

[tex]\Rightarrow P'=168.8(1+0.03)^1=168.8\times 1.03=\$169.74[/tex]

Again by multiplying 1.03 she can get the amount of money she will be getting next year.

Money she will be getting after 5 year

P' = the money she will be getting after 5 years,

P = the money she deposited = $160

r = annual rate of interest = 3% = 0.03

n = 5

Putting the values,

[tex]\Rightarrow P'=160(1+0.03)^5=160\times 1.1593=\$185.49[/tex]

She will be getting $185.49 after 5 years.

We can also do this by calculating the amount of money she will be getting at the end of each year and multiplying it with 1.03 in order to get the amount of money she will be getting the next year.

Expression for the amount of money Clare would have after 30 years if she never withdraws money from the account-

[tex]\Rightarrow P'=160(1+0.03)^30[/tex]

This is the expression for the desired condition.

The amount of money Clare would have in her account after one year is $164.80.

The amount of money Clare would have in her account after two years is $169.74

The amount of money Clare would have in her account after five years is $185.48.

The expression that can be used to determine the  amount of money Clare would have in her account after 30 years is 160(1.03^30)

How much would Clare have in her account?

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value P = Present value R = interest rate N = number of years

Balance after one year = 160 x (1.03) = $164.80

Balance after five years = 160 x (1.03^5) = 185.48

Balance after two years = 160 x (1.03^2) = 169.74

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angle works at AutoZone and makes $72 dollars a day and extra $8 for each platinum membership card he sells. angles goal is to make $200 today. how many memberships cards must he sell?

Answers

Angle needs to sell 16 membership cards.

First, I subtracted 72 from 200 and that gave me 128. Then, I divided 128 by 8 and got 16. To check my work I multiplied 16 by 8 and got 128. Then I added 72 to 128 and got 200.

Hope this helps!

What is the value of p? 10p+5=18p–62

Answers

5 + 62 = 18p - 10p

67 = 8p

p = 67:8

p = 67/8 or 8.375

Answer:

p = -8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

10p + 5 =  18p −6/2  

10p + 5 = 9p + −3(Distribute)

10p + 5 = 9p − 3

Step 2: Subtract 9p from both sides.

10p + 5 − 9p = 9p − 3 − 9p

p + 5 = −3

Step 3: Subtract 5 from both sides.

p + 5 − 5 = −3 − 5

p = −8

Given: 2/3x-7=4/3x-9 prove: x=3 set up a 2 column proof and complete each

Answers

I have attached a picture which clearly explains.

mrs payne needs 35 notepads she can buy them in packs of 10 notepads or as single pads what are all the different ways mrs payne can buy the notepade? find a pattern to solve choose two of the ways from the chart explain how thesetwo ways show the some number of notepads

Answers

Ms. Payne can buy 4 packs with each pack containing 10 notepads and if she buys 4 packs, then she will have 5 notepads left.                  
Final answer:

Mrs. Payne can buy the notepads in 5 different ways: 0 packs, 1 pack, 2 packs, 3 packs, or 35 single pads. The number of notepads in each option is either a multiple of 10 or 35.

Explanation:

To find all the different ways Mrs. Payne can buy the notepads, we need to consider two scenarios: buying in packs of 10 and buying as single pads. Let's start with buying in packs of 10. The number of packs Mrs. Payne can buy ranges from 0 to 3, since if she buys 4 packs she would have 40 notepads which is more than she needs. So the different ways she can buy notepads in packs of 10 are 0 packs, 1 pack, 2 packs, and 3 packs.

Next, let's consider buying single pads. If Mrs. Payne buys 35 single pads, she would exactly reach her requirement. So another way she can buy the notepads is by purchasing 35 single pads. In total, there are 5 different ways she can buy the notepads: 0 packs (0 notepads), 1 pack (10 notepads), 2 packs (20 notepads), 3 packs (30 notepads), or 35 single pads.

From the chart, we can observe that each option involves a multiple of 10 notepads except for the last option. This indicates that the number of notepads can be obtained by multiplying a whole number by 10, or in the case of 35 single pads, the count is not a multiple of 10.

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Type the correct answer in the box. Use numerals instead of words.
The high temperature in Rockport over the weekend was 55 1/4°F. Write this temperature value as a decimal number with two decimal places.

The decimal form of 55 1/4°F is °F.

Answers

the answer is Fifty Five point Twenty Five
Final answer:

Transform 1/4 into a decimal by dividing 1 by 4, which is 0.25. Then, add 55 to 0.25 to get 55.25. Hence, 55 1/4°F written as a decimal number is 55.25°F.

Explanation:

To write the temperature value 55 1/4°F as a decimal number, we need to convert the fraction to a decimal. To do this, we divide the numerator (1) by the denominator (4), which gives us 0.25. Therefore, the decimal form of 55 1/4°F is 55.25°F.

To transform a fraction into a decimal, you divide the numerator (top part) by the denominator (bottom part). Here, 1⁄4 expressed in decimal form is 0.25. Therefore, to express 55 1⁄4°F as a decimal using numerals instead of words, you add 55 to 0.25. So, the temperature, filled in the box, would be 55.25°F.

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Kevin gave Ben $4.90 in dimes and quarters. If 10 coins are quarters, how many coins were dimes? Which equation models this problem?
4.90•10=25d
5d+250=4.90
25+5d=4.90
0.25•10+0.1•d=4.90

Answers

i think it's 0.25•10+0.1•d=4.90

Remark

4.90 is all by itself. It is the total amount of money.  It should not be multiplied or divided by anything. So A is wrong.

B: requires a decimal place somewhere in the 490. It would take quite a few dimes to make up 490 dollars. B is wrong.

C: 25 is a decimal (0.25) without a multiplication by 10 present. The 25 should not be alone in any event. C is wrong.

D: is the correct answer. It is what you must use to find out how many dimes there are. Although did not ask for it, you need 24 dimes.

Choose an equation that would be used to solve 0 = -x2 + 10x – 8

Answers

Choose an equation that would be used to solve  0 = -x2 + 10x – 8

Answer: (x-5)^2=17

Answer:

B:(x-5)^2=17

Step-by-step explanation:

Just did on edge 2021

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