Write an absolute value inequality that represents the situation.

The length of a standard basketball court can vary from 84 feet to 94 feet, inclusive.





Answers

Answer 1

Answer:

|x - 89| ≤ 5  

Step-by-step explanation:

Here the range is 84 to 94 ft, with the midpoint being 89 and the greatest variation from the midpoint being ±5.  

We adapt |x| ≤ a as follows:  replace x with 'x - 89' and a with 5:

|x - 89| ≤ 5  

It is customary to regard '89' as the 'center' of the solution interval and 5 as the 'maximum difference' or 'radius' separating x from this center.


Related Questions

Find the midpoint of CD when
C (-2, -1) and D (4, 3).

Answers

Answer: (1, 1)

Step-by-step explanation:

Midpoint formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

(x1, x2)=(-2, 4)

(y1, y2)=(-1, 3)

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

 [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

=[tex](\frac{-2+4}{2} ,\frac{-1+3}{2} )[/tex]

=[tex](\frac{2}{2} ,\frac{2}{2} )[/tex]

=[tex](1, 1)[/tex]

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Determine the rate of change for 3/2x -5/4y = 15

Answers

Answer:

-6/5

Step-by-step explanation:

3/2x - 5/4y = 15

-5/4y = -3/2x + 15

multiply each side by (-4/5)

(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)

y = -6/5x - 12

rate of change: -6/5

49 divided by 7 get a decimal answer

Answers

Answer:

7.0?

Step-by-step explanation:

49/7 would be 7, If the question was 7/49 the answer would be 0.14285714285 (a decimal)

Simplify: (3n2 +9+5n4 – 3n)+(-9n* - 7 -5n?)

Answers

Answer:

3n^2+9+5n^4+55n

Step-by-step explanation:

Steps

$\left(3n^2+9+5n^4-3n\right)+\left(-9n\left(-7\right)-5n\right)$

$\mathrm{Remove\:parentheses}:\quad\left(a\right)=a,\:-\left(-a\right)=a$

$=3n^2+9+5n^4-3n+9n\cdot\:7-5n$

$\mathrm{Add\:similar\:elements:}\:-3n-5n=-8n$

$=3n^2+9+5n^4-8n+9\cdot\:7n$

$\mathrm{Multiply\:the\:numbers:}\:9\cdot\:7=63$

$=3n^2+9+5n^4-8n+63n$

$\mathrm{Add\:similar\:elements:}\:-8n+63n=55n$

$=3n^2+9+5n^4+55n$

Please HELP ASAPPPP uts not -3!!!

Answers

Here you go hopes this helps

Answer:

x= 11

Step-by-step explanation:

(7x -1)° + (9x +5)°= 180° (adj. ∠s on a str. line)

7x -1 +9x +5= 180

16x +4= 180 (simplify)

16x= 180 -4 (-4 on both sides)

16x= 176 (simplify)

x= 176 ÷16

x= 11

The sum of the angles on a straight line is 180°

Simplify 3√-1000 and 3√g6h30

Answers

Answer:

[tex] \sqrt[ ]{1000} [/tex]

Step-by-step explanation:

[tex]3 \sqrt{ - 1000} = 3 \sqrt{1000i {}^{2} } \\ = 3 \times 10i \\ = 30i \\ (in \: complex \: form \: i {}^{2} = - 1)[/tex]

Answer:

1st one = -10

2nd one = g2h10

Step-by-step explanation:

Edge2020!!

u= ab/k, for a
Solve form A

Answers

Answer:

a = uk/b

Step-by-step explanation:

u = ab/k

uk = ab

a = uk/b

3x-30 =1.5 plz help me

Answers

Answer:

x = 10.5

Step-by-step explanation:

3x - 30 = 1.5

3x = 31.5

x = 10.5

please quickly answer. i cant be waiting for 20 mins.

Answers

Answer:

C ( -2,4)

Step-by-step explanation:

In quadrant II, the x values are negative and the y values are positive

( -, +)

(-2,4) is the only point that meets this

Answer:

[tex]\huge \boxed{\mathrm{\bold{C.}} \ ( -2,4)}[/tex]

Step-by-step explanation:

The x values are negative and the y values are positive in quadrant II.

The point (-2, 4) is in quadrant II.

Write a ratio for the following description: Kaleel made three times as many baskets as John during basketball practice. Type your answer in the format: 3:4 with no spaces.

Answers

Answer:

3:1

Step-by-step explanation:

hey there,

< We know Kaleel made 3x as many baskets as John.

We're going to make our ratio Kaleel:John.

The answer would be 3:1 because every time John makes 1 basket, Kaleel makes 3 baskets. If John made 2, then Kaleel would make 6, etc...

Sorry, I can't explain this very well! >

Hope this helped. Feel free to ask anything else.

circle the digit is in the tens place

219,358,675​

Answers

Answer:

219,358,675

the tens digit is the second digit before decimal point (from right to left)

219,358,675

Hope this helps!! :)

Answer:

Hey!

The 7 in *...675*  is in the tens place!!

Step-by-step explanation:

Tens place??

AkA THE SECOND PLACE IN FROM RIGHT

▶hOPE IT HELPED!!◀

6. Which of the following function pairs are inverses?

Answers

Answer: f(x) = 2x - 3 and f(x) = -4x
Answer :

f(x) = 2x + 3 and g(x) = [tex]\dfrac{x+3}{2}[/tex] ✔

This function pairs are Inverse.

Please help me please

Answers

Answer:

y = 4  (Answer C)

Step-by-step explanation:

We want to find side y.  The sine function relates the 30 degree angle, the hypotenuse 8 and the opposite side y:

                                          y

sin 30 degrees = 1/2 = -----------

                                           8

so y = 4  (Answer C)

please help// geometry question.... “the distance from” is cut off from the picture

Answers

Answer:332

Step-by-step explanation:

Principal: $1500.
Annual interest rate: 72%.
What is the interest after
6 months?

Answers

I’m assuming you mean 7.2% for the annual interest rate and not 72%. If the annual interest rate is 7.2% then the interest after 6 months is $54.

To solve this problem, you us the equation A=P(1+rt)

A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)

Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))

When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.

The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.

Now that you have your problem, the next step is to solve. I will show you what that looks like down below.

A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554

From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.

To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).

A-P=I
1554-1500= 54

The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)

1/2(-2x - 12) > 7(3 - 4x)

The solution is____​

Answers

Answer:

x > 1

interval (1,∞)

Step-by-step explanation:

1/2(-2x - 12) > 7(3 - 4x)

-x - 6 > 21 - 28x

-x + 28x > 21 + 6

27 x > 27

x > 27 / 27

x > 1

interval (1,∞)

-x - 6 > 21 - 28x     if x = 2

-2 - 6 > 21 -28(2)

-8 > 21 - 56

- 8 > - 35

How can i write all the names that apply √36 NEED IT ASAP

Answers

Answer:

square of 36 is 6

or maybe 6²

Two hoses are filling a pool the first hose fills at a rate of x gallons per minute the second hose fills at a rate of 15 gallons per minute less than the first hose.

Answers

The correct answer would be B!

on a piece of paper, graph y<-3/4x+2. Then determine which answer choice matches the graph you drew.

Answers

Answer:

  D.  Graph D

Step-by-step explanation:

The  "y <" tells you two things: (1) shading will be below the line, where y-values are less than those on the line, and (2) the line will be dashed, because the "equal to" case is not included.

Only one graph has a dashed line with shading below: Graph D.

Each school day, Aidon wolks 11 blocks to school after school, he wolks 4 blocks to the library
and 12 blocks home. How many blocks does Aidon wolk in a week? *
e

Answers

Answer:

189

Step-by-step explanation:

Aidon walked 11 blocks to begin with than he walks 4 blocks to the library and 12 blocks home. This mean we add 11+4+12=27 and a week has 7 days which means we need to multiply that by 7 which gives us the product of 189.

Also, i double checked

A 2000 kilogram sports car accelerates at a ratr of 30 meters per second squared. The velocity of the car is v=at where a is acceleration in meters per second squaref and t is tome in seconds. The kinetic energy of the car is KE = 1/2 mv^2

Answers

Answer:

KE = 900,000t²

Step-by-step explanation:

The formula for calculating the kinetic energy of a body is expressed as KE = 1/2mv² where;

m is the mass of the sport car = 2000kg

v is the velocity of the car

Since v = at

v = 30t

Substituting the given values into the KE formula;

KE  1/2 * 2000 * (30t)²

KE = 1000*900t²

KE = 900,000t² Joules where t is the time measured in seconds

Answer:

KE = 900,000t²

Step-by-step explanation:

Answer is D if you use edgenuity, answers do not mix

Helpp me out pls!!!!!!!!!

Answers

Answer:

a. Maurice walked farther.

b. 0.62 m

Step-by-step explanation:

Maurice

4.1 × 1.8 = 7.38 miles

Junnie

2.5 × 3.2 = 8 miles

This shows that Junnie walked more than Maurice.

8 - 7.38 = 0.62

Junnie walked 0.62 m more than Maurice

Which number is irrational, and integer, and a real number A) -4/2 B) there is no such number

Answers

Answer:

Step-by-step explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

Answer: The answer is B) there is no such number.

Step-by-step explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i, [tex]\sqrt{-1}[/tex] )

And our choices here are:

-  -4/2

-  there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.

View Lab
Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)
a direct variation function with a small value fork
a direct variation function with a large value fork
an inverse variation function with a small value fork
an inverse variation function with a large value fork
Nexi
Subm
Save and Exit
Mark this and retum

Answers

Answer:

  an inverse variation function with a small value for k

Step-by-step explanation:

The attached graph shows the cases described. The function with the smallest function value for large x is ...

  an inverse variation function with a small value for k

___

On the graph, it is the green curve. The inverse variation functions both continue to decrease for large x, but the function with the smaller k value has a smaller function value.

Answer:an inverse variation function with a small value for k

Step-by-step explanation:Because i took the test

17 POINTS!!!! List the elements in the set described. {x|x is a natural number between 9 and 17} (Use a comma to separate answers as needed. use ascending order.)

Answers

Answer:

10, 11, 12, 13, 14, 15, 16

Step-by-step explanation:

The natural numbers are 1, 2, 3, 4, ...

The natural numbers between 9 and 17 are 10, 11, 12, 13, 14, 15, 16.

Answer: 10, 11, 12, 13, 14, 15, 16

A research company wants to test the claim that a new multi vitamin helps improve short term memory state the objective of the experiment suggest a population determine the experimental and control groups and describe a simple procedure

Answers

Answer:

To test the effects of the multi-vitamin, we must test it on people with short-term memory loss. So the population should be people with short-term memory loss. The independent variable is the multi-vitamin and the dependent variable is the short term memory state of the people being tested. A control group can consist of people with short-term memory loss NOT being treated by the multi-vitamin.

If you would like more help on math or other subjects for FREE, check out growthinyouth.org.

Give an example of an odd function and explain algebraically why it is odd.

Answers

An odd function is a function of a form [tex]y=x^n[/tex] where n is an odd number.

Some examples would be functions:

[tex]y=x,y=x^3,\dots[/tex].

A formal definition of odd function is the following.

(Algebraic proof).

Let [tex]f:\mathbb{R}\to\mathbb{R}[/tex] (real function).

The function is odd if the below equation is true for all x and -x for which the function is defined:

[tex]f(x)=-f(-x)[/tex].

Hope this helps.

I’m a constant function. There are two possible ways to write me; one way being slope-intercept form and the other being constant form
(I don’t really understand what this question is asking)

Answers

Answer:

constant function has the same output no matter what are the inputs and it is written in the form : y=b where b is a constant  that does not change. the slope of this function always equal to zero.

slope intercept form : y=mx+b ( where m=0)

constant form : y=b ( y equal a constant that does not change)

Solve the equation 6x + 2x - 5= 19 x=? Simplify your answer

Answers

Answer:

x = 3

Step-by-step explanation:

6x + 2x - 5= 19  

8X -5 = 19

8x = 24

x = 3

If you count 14 beats in 6 seconds, what is your approximate rate?​

Answers

Answer:

About 2.3 beats per second

Step-by-step explanation:

14 / 6 is approximately 2.3.

Answer: About 2.33  beats per second

Step-by-step explanation:

Divide the number of beats by the seconds and find the approximation rate.

Other Questions
what would most likely cause the future accelaration of the expansion of the univers Dinosaur death when ill give you 50 pionts help please idk how to do this Find the length of the hypotenuse of QPO What is the role of montmorency in the chapter 'packing'? In cbse class 9 Which statement is true of employee empowerment? A) Managers should ensure that employees are not linked to resources outside the organization, such as customers. B) Jobs must be designed to give employees the necessary latitude for making a variety of decisions. C) Employee empowerment shifts the recruiting focus away from cognitive and interpersonal skills toward general technical skills. D) Employee empowerment prevents holding employees accountable for the products and services they developed. E) Proper training must be provided only to supervisors so that they can exert their wider authority. I really need help with this please Keshthe day ofrehasesThere once lived a king with three daughters. One day, he calledhis three daughters and asked them how much they love him.The first daughter said that she loved him more than all the goldand diamonds in the world. He asked his second daughter and shesaid that she loved him more than the sunlight and water. The kingwas happy with both his daughters' replies.The king then asked his youngest daughter. She said, My dearfather. I love you as much as people love salt."The king was shocked, "Salt! That's a condiment used in food!"He was very angry. "I think you don't love me at all. I will banish youfrom this kingdom." The princess was very sad and left the castle.After walking for several hours, she came to another kingdom towork as a cook. After cooking a few meals, everyone in the castlecame to know of her excellent cooking skills.One day, the king and queen of the kingdom planned a weddingfor their son. They made the princess the head cook and asked herto prepare a delicious wedding dinner for several special guests. Theprincess knew that her father would be one of the special guests.When it was time to serve the food, the princess prepared a specialtray for her father and asked the waiter to give it to him.Royal families loved the dishes and praised the cook's skills.However, the princess' father said, I don't taste anything at all. Theprincess approached her father."Father, you banished me because I said that I love you as muchas people love salt. I did not put any salt in your food. Do you seehow people love their food when it has enough salt? The king wasashamed and realised that his youngest daughter loved him veryrkshop. Givedo you thinkunderzuronte select all the expressions that give the area of the figure in square units. What is the gcf of 100 and 48 Many systems and technologies have been designed to communicate over long distances. They all send information that has been encoded into a signal. What must a receiver be able to do to understand a signal that is being sent to them? To determine whether an attack has occurred or is underway, NIDPSs compare measured activity to known __________ in their knowledge base. Decker's is a chain of furniture retail stores. Furniture Fashions is a furniture maker and a supplier to Decker's. Decker's has a beta of 1.34 as compared to Furniture Fashion's beta of 1.14. The risk-free rate of return is 3.6 percent and the market risk premium is 8 percent. Both firms are all equity financed. What discount rate should Decker's use if it considers a project that involves the manufacturing of furniture? A drawer of socks contains 5 white socks, 3 gray socks and 8 black socks. Sanjayattempts to pull a pair of white socks from the drawer in the dark. If he does notreplace the first sock before drawing out the second sock, what is the probabilitythat Sanjay will pull out a pair of white socks on the first try (2 tries, 2 whitesocks)? Write your answer as a fraction OR as a decimal rounded to the nearestthousandth. The proven ability to demonstrate the acquisition of sufficient knowledge, skills, and values in a designated area in order to practice effective social work is called _____. Which of the following is true regarding externalities? Group of answer choices Externalities can only be corrected with government regulation. Externalities always involve external costs. Externalities occur when the actions of an individual or group spill over onto others, without their consent. Externalities generally enhance the rate of economic growth. I will mark as BRANLIEST!30 POINTS!!What is the plot of the book The Wave by Todd strasser Panjim began 2015 with salaries payable balance of $75,000. It had 2015 salary expense of $80,000. Its 2015 ending salaries payable balance must be______.a. $95,000.b. $55,000.c. $155,000. A car travels 30.0 km to the south and then turns around and travels 20.0 km to the north in 1.5 hours time. What is the car's total displacement? What is the car's average velocity? Total displacement = ______ km S Average velocity = ________ km/h S Find the slope on the graph