What’s a more efficient way to describe ""the set of all numbers at most 4 units away from 2""

Answers

Answer 1

Answer:

the solution is a set of real numbers between the intervals of -2 and 6

Step-by-step explanation:

We want to represent the set of all numbers at most 4 units away from 2.

If the numbers are represented by "x", this means that we want the distance between x and 2 to be less than or equal to 4.

Now, the distance between x and 2 can be represented in absolute value form as; |x - 2|

Thus, the equation that satisfies the more efficient way is;

|x - 2| ≤ 4

This means that;

x - 2 ≤ 4 or x - 2 ≥ -4

Solving both we have;

x ≤ 6 or x ≥ -2

Thus, the solution is a set of real numbers between the intervals of -2 and 6


Related Questions

what is the value of x and y

Answers

Answer: x=64 y=43

Step-by-step explanation:

Answer is X=64 and Y=43

Explanation

is this proportional or non proportional ???

Answers

Answer:

non-proportional

Step-by-step explanation:

non-proportional because it doesn't pass through the origin.

Identify the equation of the graph.

pls pls someone?

Answers

Answer:

A

Step-by-step explanation:

4 Eli's family is going to have a big go-cart race and each go-cart takes 3-gallon of gas. If there are 7 go-carts, how many total gallons of gas do they need to fill up all the go-carts?​

Answers

3x7 =21 they need 21 gallons of gas

Mr. and Mrs. Wagner are getting ready to drive across the USA from Philadelphia, PA to Los Angeles, CA in five days. The distance is approximately 3,000 miles. The average price of gasoline is about $2.10 per gallon. They plan to stay in a hotel for four nights and budget the cost of meals be about $45 per day per person.

Answers

Answer:

(a) $ 84.

Step-by-step explanation:

Given that, the distance between the PA to CA = 3000 miles.

Time of travel, t = 5 days.

The average price of gasoline, r = $ 2.10/ gallon

Cost of meal for one person, c = $ 45/ day

Total number of persons, n = 2 (Mr. and Mrs. Wagner)

(a)  The average of van = 75 mpg.

So, to cover 75 miles, the amount of gasoline required = 1 gallon

By using the elementary method, the amount of gasoline required to cover 1 mile = 1/75 gallons.

So, the amount of gasoline required to cover 3000 miles

= (1/75)x 3000= 40 gallons.

Now, cost for gasoline = 40 x 2.10=$84

Hence, the total cost of the gas for the trip is $84.

what is the slope of a line that passes through points (3,5) and (6,14)

Answers

Answer:

3

Step-by-step explanation:

Slope= (14-5)/(6-3)

= 9/3

=3

fast as possible pls, 100 points
Complete the product:
5x^3 (7x−1)

Answers

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Answer:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Step-by-step explanation:

YUWBIHADVKB;QVItOEG"a'JNA HELPPPPPPPPPPP

Answers

Answer:I think it’s spruce

Step-by-step explanation:

Answer:

The answer is spruce

Step-by-step explanation:

Anywhere above 10,500 is wrong so 10,484 has to be it so the answer would be D I hope you have a great day and i hope it helped

PLEASE HELPP ME I WILL GIVE BRAINLY. THIS PROBLEM IS WORTH 20 POINTS. PLEASE GIVE RIGHT ANSWER.

Answers

Hi, I can’t see the pic of the problem

Can someone please tell me what the equation of the line is in standard form by using the graph? I need to sleep and this is due tomorrow. Whoever answers, I’ll mark you as brainliest!!

Answers

 y= 3/2x -8

Step-by-step explanation:

y=mx+b

Plzz help me ASAP
35 points

Answers

Answer:

The area of the triangle is around 100 degrees

dilations
Help with step by step answer

Answers

Answer:

  see attached

Step-by-step explanation:

When the dilation factor is 3, each image point is 3 times as far from P as the original. I find it convenient to count the grid squares and go that distance twice again.

Find the measures of all angles in a triangle ABC

Answers

Answer: 3x23+b

G67282

Step-by-step explanation:

Express the statement "A rectangular field with an area of 120m' has it length 12mn longer than the width" as quadratic equation.

Answers

Answer:

The quadratic equation is x^2 -12x -120 = 0

where x represents the length of the field

Step-by-step explanation:

We want to make an expression in terms of a quadratic equation;

Let the length of the field be x mm , then the width will be (x-12) mm

Mathematically , the area of the field will be L * B

Thus;

x * (x-12) = 120

That gives;

x^2 -12x = 120

x^2 -12x -120 = 0

Can someone please help me

Answers

Answer:

yes :)

Step-by-step explanation:

The answer is −79.

I just did the quiz.    Hope this helps    :)

Answer:−79

Step-by-step explanation:

(5)(−3)(5)−(2)(2)

=(−15)(5)−(2)(2)

=−75−(2)(2)

=−75−4

=−79

What is the slope of the line that passes through the
points (-4, 10) and (2, 22).

Answers

Answer:

2

Step-by-step explanation:

slope= (y2-y1)/x2-x1)

= (22-10)/(2--4)

= 12/(2+4)

= 12/6

=2

What is the solution to the equation 5x-2=2x+13?

Answers

Answer: 1.825

Step-by-step explanation:


Parallel, Perpendicular
Or Neither
X=4
X=9

Answers

Answer: Parallel

x = 4 is a vertical line through 4 on the x axis

x = 9 is a vertical line through 9 on the x axis

any two vertical lines are always parallel

side note: the slope of any vertical line is undefined

Steve hires a compact car for 5 days and is charged a rental of $145.29. How much will he be charged, if he retains the car for two or more days?

Answers

Divide by 5 then add

Given that f(x)=2x+1 and g(x)=3x-1/2 find g(f(3))

1. 5
2. 7
3. 9
4. 10

Answers

Answer:

7

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

10

Step-by-step explanation:

You must substitute the 3 for the x in f(x) = 2x+1 first

f(x) = 7

Then substitute the 7 for the x in g(x) = (3x - 1)/2

g(x) = 10

Which relation DOES NOT represent a
function?
A) (5, 4) , (2, −3) , (1, 6) , (4, 0)
B) (−1, 0) , (5, 2) , (−3 ,10) , (3, 8)
C) (3, 5) , (4, −1 ) , (3, −2) , (0, 0)
D) (4, 6) , (5, 6), (0, 6)
E) (2, −1) , (−4, 6) , (0, 6) , (−3, 5)

Answers

Answer:

C

Step-by-step explanation:

Hope this Helps :)

The points on a section of an exam are given by the function f(x), where x is the number of questions answered correctly in that section. If [tex]f(12)=18[/tex], then a test-taker receives 18 points for answering _____ questions in the sections correctly.

Answers

Answer:

Step-by-step explanation:

X=5?

Answer:

The answer is 12

Step-by-step explanation:

In the beginning, it says f(x) where x is the number of questions answered correctly in that section. So whatever replaces x is your answer. In this case, it is 12.

What is the cubed root of 8

Answers

The answer is 2 hope you have a good day

How does the side length of the square relate to the square root?

Answers

Answer:

The sides can be found by taking the square root of the area. , where = side.

Step-by-step explanation:

Answer:

the area of any quadrilateral can be determined by multiplying the length of its Base by its height. since we know the shape here is square we know that all sides are of equal length. from this we can work backwards by taking the square root of the area to find the length of one side.

Find the measures of angles x, y, and z in the figure

Answers

Answer: 46 and 80l degreesx 23+b

Step-by-step explanation:



3.) Determine each percentof change. Round to the nearest whole
percent if necessary. $80 to $56

Answers

Answer:70% decrease

Step-by-step explanation:

50/86

70% Decrease because of the Amount of money you start with and end with

Which is the best to buy?
A
$18.09 for 9 bottles of juice
B
$22.33 for 11 bottles of juice
C
$3 for 1 bottle of juice
D
$6 for 3 bottles of juice

Answers

The answer is D........

hey i need some help :)

Answers

Answer:

[See Below]

Step-by-step explanation:

[tex]\boxed{Hey~There!}[/tex]

__________________________________________________________

[tex]\boxed{Solve~-3x<9:}[/tex]

Rearrange the equation by subtracting what is to the right of the greater than sign (≤, ≥) from both sides of the inequality:

                 [tex]-3*x-(9)<0[/tex]

Pull out like factors:  

                [tex]-3x - 9 = -3 * (x + 3)[/tex]

Divide both sides by [tex]-3[/tex]: Remember to flip the inequality sign:

                 [tex]<=>[/tex]

Subtract [tex]3[/tex] from both sides:

                 [tex]x > -3[/tex]

[tex]\boxed{The~answer~is: x > -3}[/tex]

[tex]\boxed{The~answer~is: C}[/tex]

__________________________________________________________

[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex]  ^-^

The density of a certain material is such that it weighs 5 pounds for every 4.5
quarts of volume. Express this density in grams per liter. Round your answer
to the nearest whole number.

Answers

Answer:

533 grams per liter

Step-by-step explanation:

i got it from delta math

Express 10 billion in scientific notation

Answers

Answer:

10,000,000 in scientific notation is: 1 x 10^7

Step-by-step explanation:

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