Using an absolute-value inequality, describe the set of numbers whose distance from 4 is greater than 5 units. Draw a graph of this set on a number line. Finally, describe this set of numbers using inequalities without absolute value signs.

Answers

Answer 1

The solution to the absolute-value inequality is x > 9; and x < -1

What is an inequality?

An inequality is an expression that shows the nonequal comparison of two or more numbers and variables.

Let x represent the unknown number, hence:

|x - 4| > 5

(x - 4) > 5; and -(x - 4) > 5

x > 9; and x < -1

The solution to the absolute-value inequality is x > 9; and x < -1

Find out more on inequality at: https://brainly.com/question/24372553

Using An Absolute-value Inequality, Describe The Set Of Numbers Whose Distance From 4 Is Greater Than

Related Questions

9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?

Answers

Volume of the box = 5.2 × 9.6 × 6

= 299.52 ≈ 300 cm³ (approx)


• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.

Answers

Answer

12x-9x-45 (put a 2 above the x on the 12)

Step-by-step explanation:

(2x-9)(x+5)

2x(x) = 2x

2x(5) = 10x

-9(x) = -9x

-9(5) = -45

2x^2+10x^2-9x-45

2x^2+10x^2 = 12x^2

12x^2-9x-45

A group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two-way table. a = b = c = d = e =

Answers

Answer:

a = 13, b = 28, c = 6, d = 22, e = 31

Step-by-step explanation:

If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?

Answers

Answer:

+6

Step-by-step explanation:

8x+2y=2so,

-3(8x+2y)

-3(-2)

-3×-2

remember -×- is a + so,

the answer is +6

Answer:

6

Step-by-step explanation:

Given

8x + 2y = -2

Multiply both sides by -3

-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6

Graph the quadratic functions y=-2xandy=-2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.​

Answers

Y = -2x^2

h = Xv = -B/2A = 0/-4 = 0.

k = -2*0^2 = 0.

V(0,0).

Use the following points for graphing:

Y = -2x^2.

(x,y)

(-2,-8)

(-1,-2)

V(0,0)

(1,-2)

(2,-8)

Y = -2x^2 + 4.

h = Xv = -B/2A = 0/-4 = 0.

k = Yv = -2*0^2 + 4 = 4.

V(0,4).

(-2,-4)

(-1,2)

V(0,4)

(1,2)

(2,-4)

Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)

Answers

Answer:

3x + 6.

Step-by-step explanation:

That would be x + x +2 + x + 4

= 3x + 6.

Verify this  by adding 7 9 and 11:

7 + 9 + 11 = 27

3(7) + 6 =  21 + 6 = 27.

PLEASE HELP ME WITH THIS

Select the correct answer.

Function w is a nonlinear function. Which representation could represent function w?​

Answers

Answer:

D

Step-by-step explanation:

ABC are linear so it has to be d

A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?

Answers

Answer:

$20

Step-by-step explanation:

revenue would be    price * quantity

 p ( 120-3p)

   -3p^2 + 120p   = revenue     max will occur at p = - b/2a = - 120/((2)(-3))

p max rev = 20

What is the cube root?

Answers

Answer:

its 4/5

Step-by-step explanation:

cube of four is 64 and cube of 5 is 125

Answer:

4 / 5

Step-by-step explanation:

∛( 64 / 125 )

= ∛64 / ∛125

64 can be simplified as 4 x 4 x 4.

∛64

= ∛ ( 4 x 4 x 4 )

= 4

125 can be written as 5 x 5 x 5.

∛125

= ∛ ( 5 x 5 x 5 )

= 5

∛ ( 64 / 125 ) = 4 / 5

Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)

Answers

Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.

The parameters are given as follows:

[tex]\overline{x} = 78, s = 10, n = 4[/tex]

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]

The 95% confidence interval is (71.63, 84.36).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

(62.09, 93.91)

Step-by-step explanation:

The correct answer on Khan

Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30

Answers

Answer:

D

Step-by-step explanation:

(z + 6)(2z² + 3z + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis

= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms

= 2z³ + 15z² + 23z + 30

Coplanar circles that intersect in one point are called.

Answers

Answer:

Tangent circles

Step-by-step explanation:

Tangent circles are coplanar circles that intersect in one point.

Hope this helps :)

Have a nice day!

PLS HELP WILL GIVE BRAINLIEST​

Answers

Answer:

Option A, y = -1/3x + 2

Step-by-step explanation:

Step 1:  Determine the equation

Looking at the graph we can see that the line will intersect the y-axis at around 2 units which eliminates options B and D.  Now, looking at the slope of the graph we see that it's going in a downward trend which means that the slope is negative.  That eliminates option C which leaves us with the only option of A.

Answer: Option A, y = -1/3x + 2

Write the inverse of 6x + 8y= 13 in f-1 (x) notation.

Answers

Answer:

Step-by-step explanation:

6x + 8y = 13

8y = 13 - 6x

y = (13 - 6x) / 8

f(x) = (13 - 6x) / 8

x = (13 - 6f^-1(x)) / 8

8x = 13 - 6f^-1(x)

6f^-1(x) + 8x = 13

f^-1(x) = (13 - 8x) / 6

How do I find the measures of angles a,b, and c. I included a picture

Answers

Multiple rules you have to know. Starting from the top angle.

Angle a) - Angles opposite each other equal each other

Angle b) - sum of angles in a triangle should equal 180. The right angle is 90 and you already know angle a)

Angle c) - the flat angle on a line should be equal to 180. So part of it is 65 rest is the rest of 180


A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53

Answers

The answer is C. $2.29
Explanation
0.15 x 3 is 0.45
23 minutes additional minutes so
23 x .08 = 1.84
0.45 + 1.84 is 2.29
The correct answer is C. $2.29

Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.



Answers

Answer:

let's see....

lil info about elimination method:

it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.

look at -6 in the first equation and the other -6 below it in the second equation.

if you have something like that, then just look for a symbol like - or + that will eliminate them

so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.

so x cannot be negative...

so x = -2.

( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)

I hope this helps

A walk-in path BE in a park intersects two sides of the park at their midpoint. You walk from point D to E , from E to B, from B toC, and back to point D. How many yards did you walk

Answers

See attached image.

No measurements were given for the park, so I made an assumption to demonstrate how the calculation might be done,.  Adjust for the actual measurements.

James opens 2 different savings accounts and deposits $12,000 into each one. account i earns 2.2% interest compounded annually. account ii earns 2.2% annual simple interest. there are no additional deposits or withdrawals. what is the sum of the total balances of these accounts at the end of 7 years? question 7 options: $27,168.00 $27,696.00 $27,949.08 $27,822.53

Answers

The Total Interest Combine will be interest from the compounded invesestment and that of the simple interest investement $13,974.54 plus $13,848.00 which is 27 822.54 US$

Compound Interest

Given Data

Principal = $12,000Rate = 2.2%Time = 7 years

Calculation For Compound Interest:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.2/100

r = 0.022 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 12,000.00(1 + 0.022/1)(1)(7)

A = 12,000.00(1 + 0.022)(7)

A = $13,974.54

Calculation For Simple Interest:

First, converting R percent to r a decimal

r = R/100 = 2.2%/100 = 0.022 per year.

Solving our equation:

A = 12000(1 + (0.022 × 7)) = 13848

A = $13,848.00

Learn more about investment here:

https://brainly.com/question/24924853

what is is a true statement?

Answers

Answer:

The Second option, all parallelagrams are quadralatterals.

Step-by-step explanation:

because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.

the second one all parallelograms are quadrilaterals

The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?

Answers

Answer: 19.5ft

Step-by-step explanation: L represents length and b represents width or breadth

Find the stepsteps in the file.

Please help me, I will mark a brainiest

Answers

Answer:

..... :P

Step-by-step explanation:

I'm not sure man try asking a tutor

How many lines of symmetry does the figure have?

Will mark brainlyest!

Answers

4

hope it helps....!!!!

A plant is already 13.25 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=0,09x+13,25
What is the plant's height after 20 months?
PLEASE HELP ME SOLVE THISSSS

Answers

H = 0.09 (20) + 13.25

H = 1.80 + 13.25

H = 15.05 m

193.5

The previous answer is wrong because they interpreted the 9 as a .09 so this is who they are wrong

According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hours?

Answers

Answer:

2/4 or 1/2

Step-by-step explanation:3/4 minus 1/4 is 2/4

A company has total sales in 2018 of $500,000 and expects sales to grow at a compounded annual rate of 3% each year for the next several years. What will sales be in 2020?

a) $515,000
b) $530,450
c) $ 546,363

Answers

The answer is (b) 530000

Which graph best represents the solution set of -4x ≤ 6y − 54?

Answers

Answer:

a

Step-by-step explanation:

if its the same one i saw, the answer is a :)

Write (-4,3) and (-5,-2) in slope intercept form

Answers

Y=5x+23 is the answer

Find the volume of a prism

Answers

Answer:

84

Step-by-step explanation:

add em all together

Need help with this problem

Answers

Answer:

44

Step-by-step explanation:

i done this

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