If f(x) = −5x + 11 and f(n) = 21, what is the value of n?

Answers

Answer 1

f(n) = -5n + 11 
21 = -5n + 11 
10 = -5n 
n = -2
Answer 2
n=-2

It may help you visualize what this question is asking for if you let x = n in f(x)= -5x+11.

Let x = n

f(n) = -5n + 11
21 = -5n + 11
10 = -5n
n = -2

Related Questions

Show or explain how to solve the equation for x: 7x = 3

Answers

x = 3/7
hope this helps
7x=3
Divide both sides by 7, then you have
x=3/7

Bonnie has 16 coins worth $1.50. What are the two different combinations of coins she could have?

Answers

24$ because if you multiply the two of them that is the answer you get .

Sharon buys 14 folders for 0.75 each.How many change will she receive if she pays with 15

Answers

She will receive 4.95 as her change
Well first, multiply 14 by 0.75 which gives you *$10.50*.

Then subtract 10.5 from 15 which gives you 4.5.

So, she will receive *$4.50* if she pays with $15.

what is the slope and y intercept of the line 4x-2y=7

Answers

the slope is 2
and the intercept is -7/2
first put it into y=mx+b
-2y=-4x+7
y=2+7/-2
yi=-3.5
m=2

Solve for t. −3t≥39

Answers

-3t ≥39

-3t/-3 ≥39/-3

t≤-13 

is your answer hope this helps

Note: only flip the sign when you are dividing a negative number
its t< with the underscore under the less than -13                                                                                                                                                                                               so its t< -13

How to turn Standard Form ( -x + 2y = 10) to Point slope form?

Answers

Point slope form (slope intercept form)  is y = mx + b

so first move the -x over to the other side

2y = x + 10

Divide 2 to both sides

2y/2 = y
(x + 10)/2 = x/2 + 5

slope intercept form
y = x/2 + 5

hope this helps

What are some numbers that have an absolute value greater than 2 1/2

Answers

Some numbers could be 5 or -7 because big of those numbers are farther away from 0 then 2 1/2

The numbers that have an absolute value greater than 5/2 are 4 and 5.

In general, ImI > 5/2. Where m is any number.

What is an absolute value?

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

The absolute value is [tex]2\frac{1}{2}[/tex].

[tex]2\frac{1}{2}[/tex] = 5/2

And we have to find the numbers that have the greater absolute value than 5/2.

5/2 = 2.5.

Any number that is greater than 2.5 is the required number.

Let 4 and 5 re the numbers.

Then, 4 > 5/2 and 5 > 5/2.

Therefore, 4 and 5 are the numbers.

To learn more about the absolute value;

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Samuel has a coupon for 25% off the regular price of one item at the toy store. He buys a dirt bike that has a regular price of $419.99. The Kentucky tax rate is 6%, what is the price of the dirt bike after the coupon is used. Show your work!

Answers

Hi there! So, Samuel has a coupon for 25% off and the tax rate where he lives is 6%. To find the total of the bike, first thing we need to do is multiply the price of the bike by the amount still needed to be paid. You take 25% off of the price of the bike, but you still need to pay 75% of the original price. 419.99 * 75% (0.75) is 314.9925 or 314.99 when rounded to the nearest hundredth. Now to find the price with tax, multiply the sale price by (1 + r). In other words, add 1 to the tax rate in decimal form, in this case, 1.06, because 6% is 0.06. 314.99 * 1.06 is 333.8894 or 333.89 when rounded to the nearest hundredth. The new price of the dirt bike is $333.89.
Final answer:

The price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89. The discount amount is $105, and the sales tax amount is $18.90.

Explanation:

To find the price of the dirt bike after the coupon is used, we first need to calculate the amount of the discount. The regular price of the dirt bike is $419.99, and the coupon gives a 25% discount. To find the discount amount, we multiply the regular price by 0.25: $419.99 x 0.25 = $105. Next, subtract the discount from the regular price: $419.99 - $105 = $314.99.

Next, we need to calculate the sales tax. The regular price after the discount is $314.99. The Kentucky tax rate is 6%, which we convert to a decimal by dividing by 100: 6 ÷ 100 = 0.06. To find the amount of sales tax, multiply the regular price after the discount by the sales tax rate: $314.99 x 0.06 = $18.90.

Finally, to find the price of the dirt bike after the coupon and sales tax, add the regular price after the discount and the sales tax: $314.99 + $18.90 = $333.89. Therefore, the price of the dirt bike after the coupon is used and after applying the Kentucky sales tax is $333.89.

For a party, 20 sandwiches are being made. If each sandwich is cut into thirds, how many sandwich pieces are there?

Answers

I believe there would be 60 pieces...
20 sandwiches*3pieces=60

Try to figure out this riddle : An eight-digit number contains two 1's, two 2's, two 3's, and two 4's. The 1's are separated by one digit, the 2's are separated by two digits,the 3's are separated by three digits and the 4's are separated by four digits. What is the number?

Answers

it should be 23421314

In the equation 3x +8y =48 what is the slope of the line

Answers

in the equation 3x+8y=48 the slope of the line would be -3/8
`-3/8 is the slope after you simplify the answer to y=-3/8x+6

what is 378653 in expanded form?

Answers

378653 in expanded form is:

300000 + 70000 + 8000 + 600 + 50 + 3

hope this helps
378653 in expanded form
= 300,000 + 70,000 + 8,000 + 600 + 50 + 3

hope it helps

when writing an exponential function, how do you put 12.5% into a decimal.... for example 20% goes into .20 but how would I do that for 12.5? please help!

Answers

Remember that 1% is equivalent to 1 hundredth, or 0.01. What does 0.5% mean, then? Well, it's 0.5 hundredths, or five-tenths of a hundredth.

If we look at that in terms of fractions, that translates to:

[tex] \frac{5}{10}\times \frac{1}{100} = \frac{5}{1000}[/tex]

So, 0.5% is five thousandths, or 0.005, as a decimal. Combining that with 12%, which is 0.12 or twelve hundredths as a decimal, we have:

12.5% = 0.12 + 0.005 = 0.125

How do you know a wedding is really emotional

Answers

When the bride goes nuts, they couple cries, and the mother in laws are going at it for at least the fifth time lol

a store is selling sculptures. The first week, it prices 6 sculptures at 80$ each. After each week, if a sculpture is not sold, it will be priced to sell for .85 times the previous weeks price. The store needs to sell the 6 sculptures for a total of at least $270 to make a profit. What is the last week in which all 6 sculptures could be sold so that the store makes a profit?

Answers

They can stay for 3 weeks

Answer:

they can stay for 4 weeks

Step-by-step explanation:

PLEASE READ and ANSWER! How do I multiply 0.79 x 3.7 step by step? Pls Answer!!

Answers

The answer is 2.923.
 0.79
x3.7
--------

I'm sure you understand how to multiply that way. That's elementary. Good luck.

A team won 6 games and lost 8 games. What was the team's win-loss ratio?

Answers

The ratio is Win:Loss
6:8...??
The win to loss ratio is 6:8, 6/8, and 6 to 8. Or if you are looking for the answer to be simplified, it should be 3:4, 3/4, and 3 to 4. I hope this helps. :)

Round 33.01 to the nearest tenth

Answers

Problem
Round 33.01 to the nearest tenth.

Result
33.0 

Solution
Since 1 is in the hundredths place, we cannot round up. This leaves 33.0 or 33.
33
Because 1 in hundredth is below 5 just keep tenth place as it is

Please need help on this thank you

Answers

pi is the answer, in fact it's the most famous irrational number





20-minute

 TV program consists of 

two commercials, each

 

1

3

4

 minutes

 long, and three 

equal‐length

 entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction.

Answers

2 commercials would take 2×1¾ min= 2×7/4min= 7/2min
so the entertainment segments = 20-7/2= 33/2
each would contain = 33/2÷3 = 33/2×1/3 = 11/2
= 5½

answer =5½

Which of the following is the most appropriate unit to describe the time you can drive a car based on the amount of gas?
A.minutes per gallon,because the independent quantity is the gallons
B.minutes per gallon,because the independent quantity is in the minutes
C.gallons per minute,because the independent quantity is the gallons
D.gallons per minute,because the independent quantity is the minutes

Answers

I believe the answer to the question is A. This is because the minutes rely on the amount of gas that you have.

A local grocery store sells oranges $1.15 per pound, tax included. A shopper buys 1.3 pounds of oranges from the store. Rounded to the nearest cent, how much does the shopper pay for the oranges?

Answers

the price for one pound is $1.15

to find the total cost you need to multiply the cost of one pound by the total weight of how much was bought

 they bought 1.3 pounds, so multiply 1.3 by 1.15 for the total cost

1.15 * 1.3 = 1.495 which rounds up to $1.50

the shopper paid $1.50

How many gallons of a plant food that is 9% nitrogen must be combined with another plant food that is 25% nitrogen to make 10 gal of a plant food that is 19% nitrogen?

Answers

Final answer:

To determine the amounts of two plant foods with different nitrogen percentages to create a desired mixture, we set up and solve a system of equations based on the total volume and total nitrogen content.

Explanation:

A mixture problem that involves combining two solutions with different percentages of nitrogen to achieve a solution with a desired percentage of nitrogen.

Let's denote the amount of the 9% nitrogen plant food as x gallons and the amount of the 25% nitrogen plant food as y gallons.

Given that we want to end up with 10 gallons of a 19% nitrogen mixture, we can form the following two equations based on the problem's requirements:

Equation 1: x + y = 10 (Total volume of the mixture)

Equation 2: 0.09x + 0.25y = 0.19 × 10 (Total amount of nitrogen in the mixture)

By solving this system simultaneously, we can find the values of x and y.

The second equation can also be written as 9x + 25y = 190 to work with whole numbers.

We can multiply the first equation by negative 9 and add it to the second equation to eliminate x and solve for y.

This will give us the amount of 25% nitrogen plant food needed, and by subtraction of y from 10, we can find the amount of 9% nitrogen plant food required.

Based on the results, we may need multiple gallons of the 9% nitrogen plant food and a specific number of gallons of the 25% nitrogen to achieve our desired 19% nitrogen plant food.

Final answer:

To find the number of gallons of a 9% nitrogen plant food to be combined with a 25% nitrogen plant food, we can set up an equation based on the principle of conservation of mass and solve for the variable representing the number of gallons of the 9% nitrogen plant food.

Explanation:

To find out how many gallons of a plant food that is 9% nitrogen must be combined with another plant food that is 25% nitrogen to make 10 gallons of a plant food that is 19% nitrogen, we can set up an equation based on the principle of conservation of mass.

Let x be the number of gallons of the 9% nitrogen plant food.

Then, (10 - x) would be the number of gallons of the 25% nitrogen plant food.

The equation can be set up as follows:

0.09x + 0.25(10 - x) = 0.19(10)

Solving the equation will give us the value of x, which represents the number of gallons of the 9% nitrogen plant food needed to be combined with the 25% nitrogen plant food.

Select the graph that would represent the best presentation of the solution set for |x| < 5.

Answers

Answer:

It's the graph with -5 to 5.

Step-by-step explanation:

The best presentation of the solution set for |x| < 5 will be - 5 < x < 5.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The inequality is given below.

|x| < 5

Then the solution set for |x| < 5 will be - 5 < x < 5.

The graph is given below.

More about the function link is given below.

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A plane can fly 330 miles in the same time as it takes a car to go 210 miles. If the car travels 60 mph slower than the plane, find the speed of the plane.

Answers

330/x=210/x-60
11/x=7/x-60
11x-660=7x
4x=660
x=165

What is the rational number equivalent to 1.28 repeating A. 1 6 over 97 B.1 28 over 99 C. 1 8 over 33 D. 1 5 over 16

Answers

B is the correct answer. The 1 represents a whole number, and 28/99= .28282828 (the repeating decimal wanted)

Therefore 1.28= 1 28/99

Answer: 1 28/99


Step-by-step explanation:


How do i convert five and one sixth into a (terminating or repeating) decimal

Answers

5 1/6 in informal fraction form is 31/6. So then, you would divide 31 by 6 and get 5.1666666667

on an average day, 34 customers buy a bag of grapes at jerry's market. there are an average of 47 grapes in each bag. round to the nearest ten and then multiply to estimate the number of grapes jerry's customers buy every day.

Answers

Answer:

Step-by-step explanation:

1,500

There are on an average 34 customers for Jerry everyday buy a bag of 47 grapes. Hence, around 1600 grapes he sell every day.

To estimate the number of grapes Jerry's customers buy every day, we can multiply the average number of bags sold by the average number of grapes per bag:

34 bags/day x 47 grapes/bag = 1598 grapes/day

Rounding 1598 to the nearest ten gives us:

1600 grapes/day

Therefore, we can estimate that Jerry's customers buy around 1600 grapes every day.

Find more rounding:

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3(p+q)=p solve for p and I need the answer asap

Answers

3p + 3q = p
3q = p - 3p
3q = -2p
3q/-2 = p
p = 3q/-2.

Answer: p = 3q/-2.

Which equation shoes how the properties of numbers extend to negative whole numbers by commutative property of addition A) -2+4=4+(-2) B)-2(4)=4(-2). C) (-2+4)+3=-2+(4+3. D)-2(4+3)=(2×4)+(-2×3)

Answers

In option A the order of the two numbers being added changes. That is what the commutative property is, so the answer is A.
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