The set {3, x, 2, 1} has a range of 2. What is the value of x?

Answers

Answer 1

Answer:

x = 1 or x = 2 or x = 3

Step-by-step explanation:

The range = 2 = (greatest number in the set) - (lowest number in the set)

→ If we took x < 1 then the range would be 3 - x > 3 - 1 then 3 - x > 2 which is impossible ,therefore x could not be less than 1

→ If we took x > 3 then the range would be x - 1 > 3 - 1 then x - 1 > 2 which is impossible ,therefore x could not be higher than 3

Conclusion:

1 ≤ x ≤ 3

then

x = 1 or x = 2 or x = 3


Related Questions

Solve for t.

–17 = –9 + 4t

Answers

Answer:

[tex]\boxed{\sf{t=-2}}[/tex]

Step-by-step explanation:

To solve for t, you have to isolate it on one side of the equation.

-17=-9+4t

First, you have to switch sides.

→ -9+4t=-17

Add by 9 from both sides.

[tex]\Longrightarrow: \sf{-9+4t+9=-17+9}[/tex]

Then, you solve it.

-17+9=-8

4t=-8

Divide by 4 from both sides.

[tex]\sf{\dfrac{4t}{4}=\dfrac{-8}{4}}[/tex]

Solve.

Divide the numbers from left to right.

-8/4=-2

[tex]\Longrightarrow: \boxed{\sf{t=-2}}[/tex]

Therefore, the correct answer is t=-2.

I hope this helps. Let me know if you have any questions.

Answer:

[tex]t = -2[/tex]

Step-by-step explanation:

Step 1:  Add 9 to both sides

[tex]-17 = -9 + 4t[/tex]

[tex]-17 + 9 = 4t - 9 + 9[/tex]

[tex]-8 = 4t[/tex]

Step 2:  Divide both sides by 4

[tex]\frac{-8}{4} = \frac{4t}{4}[/tex]

[tex]-2 = t[/tex]

Answer:  [tex]t = -2[/tex]

I NEED HELP PLEASE!!!!!
What's the answer to the question below?
A penny weighs 2.5 grams while a dime weighs about 2.27 grams. How much do a penny and two dimes weigh?

Answers

Answer:

[tex]\huge\boxed{\sf 7.04\ grams}[/tex]

Step-by-step explanation:

A penny = 2.5 grams

A dime = 2.27 grams

2 dimes = 2.27 × 2 grams

             = 4.45 grams

Weight of a penny and 2 times:

= 2.5 + 4.54

= 7.04 grams

[tex]\rule[225]{225}{2}[/tex]

Help and show work please!!

Answers

Answer:

Between 9 and 10

Step-by-step explanation:

I just multiplied 2/3 by 14

Does that help?

Answer:

C

Step-by-step explanation:

first do 14/1 times 2/3

it will be 28/3, then divide that

it should be 9.3 repeating

which is in the range of 9 and 10

help please help me

Answers

Answer:

45.4

Step-by-step explanation:

A=πr2=π·3.82≈45.3646

HELPPP frenss!!! HURRY

Answers

Answer:

8

Step-by-step explanation:

When you calculate it -4/3 times is 4 so add 4 to that and you get 4. Hope this helps

(NO BOTS) NO TROLLS) help me with this answer!
(WILL BE REPORTED)

Answers

Answer:

2nd one

Step-by-step explanation:

Answer:

[tex]\frac{35}{7} =\frac{70}{14} =\frac{105}{21} =\frac{140}{28} =\frac{5}{1}[/tex]

Step-by-step explanation:

The unit rate is x:1, like 60 miles to 1 hour, or 60/1. To find the answer, put the number of textbooks over the number of students and then simplify the fractions- you will see that they all boil down to 5/1, or 5 textbooks per 1 student.

A person's paycheck varies directly as the number of hours worked. Bill received $75 for 15 hours. How much would he receive for working 32 hours?​

Answers

Answer:

$160

Step-by-step explanation:

75/15=5 which means he makes $5 per hour

5*32=160

Part F About what is the average change in distance for each increase of 1 in the iron number ? What does this mean in terms of the situation?

Part D
What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?

Answers

The average change in distance for each increase of 1 in the iron number is -10, and the y-intercept of the graphs are not the same

The average change in distance?

From the graph, we have the following points:

(x,y) = (4, 145) and (3,155)

The average change in distance is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{155 - 145}{3 - 4}[/tex]

Evaluate

m = -10

Hence, the average change in distance for each increase of 1 in the iron number is -10

What the average rate in (a) represents?

The rate, -10 in (a) means that:

The distance decreases by 10 yards for each number of iron

The y-intercept

The y-intercept is the point where the graph crosses the y-axis

From the attached graphs, we have:

The correct graph has a y-intercept of 185The incorrect graph has a higher y-intercept (195)

Hence, the y-intercept of the graphs are not the same

Read more about linear regression at:

https://brainly.com/question/17844286

#SPJ1

please help. will mark brainliest

Answers

Step-by-step explanation:

since it is a straight line .

angle 4+ angle 5 = 180

40+ angle 5 = 180

angle 5 = 140

Answer:

A. 140

Step-by-step explanation:

well, one way to look at it is that ∠4 + 5 = 180

we are GIVEN the info that ∠4 = 40

therefore 180 - 40 - ∠5

180 - 40 = 140

​Banana chips sell for 44¢ per 100 g.
How much would 450 g of banana chips cost?

Answers

Answer:

198 cents or
1.98 dollars

Step-by-step explanation:

Find the value of k for which the equation x2+k(2x+k-1)+2=0 has no real roots.
Please answer it properly. Thank you.

Answers

Answer:

Please find the answer attached :)

At a candy store you could get 3 giant lollipops for $4.89. How much would it cost to buy 10 lollipops?

Answers

Answer:

16.3

Step-by-step explanation:

they are each 1.63 hope this helps pls mark as brainiest

Answer: $16.30

Step-by-step explanation:

$4.89÷3= $1.63

$1.63×10= $16.30

4. The length of a rectangle is 18 centimeters and the width is 6 centimeters. A similar
rectangle has a width of 10 centimeters. What is the length of the missing side?

Answers

Answer:

30 cm

Step-by-step explanation:

So what we are given here is a case of similar figures.

When we are given similar figures, the ratio of the width of both figures should be similar to the ratio of the length of both figures.

I'll demonstrate it in the following problem.

We know one rectangle has a length of 18 cm and a width of 6cm.

The other rectangle has a width of 10 cm.

Let's take a ratio of the width of both rectangles.

We take the width of 6 cm for the first rectangle to the width of 10 cm for the second rectangle.

w1 = 6 cm

w2 = 10 cm

6 cm : 10 cm = 3 : 5

The ratio given is 3 : 5. Let's use these ratios to find lengths.

l1 = 18 cm

l2 = x cm

3 : 5 = 18 : x

To find x, we just solve this like an equation, where we let ratios be division signs.

3/5 = 18/x

Multiply both sides by 5x

3x = 90

Divide both sides by 3

x = 30 cm

The length of the missing side is 30 cm. We found the answer to the length by using the ratios obtained from the widths.

Solve: (x + 1)(x ^ 2 - 5x + 10) - 12 = 0​

Answers

[tex]~~~~~(x+1)(x^2 -5x +10) -12= 0\\\\\implies x^3 -5x^2 +10x +x^2 -5x +10 -12 =0\\\\\implies x^3 -4x^2 +5x -2 =0\\\\\implies x^3 -2x^2-2x^2+4x+x-2=0\\\\\implies x^2(x-2)-2x(x-2)+(x-2)=0\\\\\implies (x-2)(x^2 -2x +1)=0\\\\\implies (x-2)(x-1)^2 = 0\\\\\implies x =2 , ~~ x = 1[/tex]

What is the mean and median of the data

4.7,8.51,6.5,7.42,9.64,7.2,9.3

Answers

Answer:Median=7.42

Mean=7.61

Step-by-step explanation:

the car ride from kileys house to the airport

Answers

What is the question on this?

Answer:

this question provides no content for me to answer but i want the points and i will be taking them Thankyou!

Step-by-step explanation:

here is the same sentence translated in spanish

el viaje en coche desde la casa de kileys hasta el aeropuerto

need help fast. dont know where to start

Answers

[tex]\bold{ANSWER:}[/tex]
Option D: 44; 44; 132

[tex]\bold{EXPLANATIONS:}[/tex]

A line intersects the points
(12, -2) and (6, -8).
What is the slope of the line in
simplest form?
m = [?]

Answers

Answer:

1

Step-by-step explanation:

The formula for slope is y2 - y1 over x2 - x1.

-8--2 = -6

6-12= -6

-6/-6 = 1

Write an equation in slope-intercept form for the line that is parallel to y=x−6 and that passes through the point (−5,−6).

Answers

Answer:

Equation: y = x - 1

a slope of 1, and a y-intercept of -1

Step-by-step explanation:

Given: y = x - 6

Slope-Intercept Form: y = mx + b -

where:

m is the slopeb is the y-intercept (when x = 0)

Note: parallel lines have the same slope

1. Determine the slope and y-intercept of the given equation:

⇒ y = x - 6 has a slope of 1, and a y-intercept of -6

2. Find the equation of the line parallel line that passes through the point (-5,-6):

⇒ y = x + b [substitute -5 for x and -6 for y]

⇒ -6 = -5 + b [add 5 to both sides]

⇒ -6 + 5 = -5 + 5 + b

⇒ -1 = b

Equation: y = x - 1

3. Check your answer using point (-5, -6):

⇒ y = x - 1

⇒ -6 = -5 - 1

⇒ -6 = -6 ✔

This statement is correct

Therefore, the equation of the line is y = x - 1

Which system of equations is represented by the graph?

one parabola opening upwards and one parabola opening downwards intersecting at points (2, 12) and (-2, 12)

y = x2 + 4x

y = –x2 + x + 12
y = x2 – 8

y = –x2 +16
y = x2 + 8

y = –x2 + 16
y = x2

y = –x2 – x –16

Answers

Answer:

See below

Step-by-step explanation:

Find the value of y when x = 2 or x = -2 to determine the system

It is easy to calculate and confirm the correct equations

y = –x² + 16y = x² + 8

See the attached to verify the answer

Check option C

y=-x²+16

Put (2,12)

12=-(2)²+16=-4+16=12

And

y=x²+8

Put(-2,12)

12=(-2)²+8=4+8=12

Hence verified

Option C is correct

Who Is The Father Of Math?

Answers

Answer:

The father is Archimedes

Brainliest!!

Archimedes is the father of math. :)

If Mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries?

Answers

Answer:

$2.31

Step-by-step explanation:

Solve for X and identify the angle relationship!!
PLSS I NEED THIS ASAP!
(WILL GIVE BRAINLIEST)

Answers

Answer: x = 10 and the angles are both corresponding angles

Step-by-step explanation: it is what it is

Corresponding angles are equal

4x+16=564x=56-164x=40x=40/4x=10

Kim was 11 years old seven years ago.
How old is she now? Write the equation
and solve.

Answers

Answer:

She would be 18 years old.

Step-by-step explanation:

Since she was 11 years old 7 years ago, the equation would be:

11+7=18

Answer:

The answer is 18

Step-by-step explanation:

11+7=18

If kim was 11 years old 7 years ago then you add the years it has been ago and then you get your answer 18

Please consider Brainliest for my answer is correct

phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total

Answers

Answer:

We cannot know.

Step-by-step explanation:

It only mentions that Phineas has more jolly ranchers than Alan. Since Alan has 10 jolly ranchers, the number of jolly ranchers Phineas could have is 11, 12, 13, 14... and so on. Phineas could have 1 billion jolly ranchers.

A bag contains 6 blue marbles, 2 red
marbles, 4 yellow marbles, and 8 green
marbles. What is the probability of drawing
a red marble at random from the bag?

Answers

It would be 2/20 or if you want the simplified version, it’s 1/10.
Answer:
Here we have to use combination because the marble is chosen at random.
Probability = x/total
x= 2C1 =2
Total= 20C1 =20
Probability = 2/20 = 1/10
HOPE THIS HELPS :)

1 quart = 4 cups

1 cup = 8 ounces

Solution: ____ glasses

Answers

Answer: 32 glasses

Step-by-step explanation: If 1 quart is 4 cups and 8 ounces are in 1 cup, 8x4=32 so there are 32 ounces in a quart. If he has 6 quarts 32x6+192 ounces. if each glass is 6 ounces 192/6=32.

What’s are the roots of the function?
Please help!

Answers

Answer:

  -3, 2

Step-by-step explanation:

The roots of a function are also called the "zeros" or "x-intercepts." They are the values of x where the function value is zero.

__

Here, the graph crosses the x-axis at x=-3 and x=2. The roots of the function are -3 and 2.

Does anybody know this?

Answers

Answer:

here you go , all four completed, took me some time , hipe i was able to help you out tho

Well my question says Mona 28.086 seconds. Ashley 27.23 Seconds what's the difference of times second

Answers

Answer:

0.856 seconds

Step-by-step explanation:

just subtract mona's time from ashley's

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