Solve the following inequality: |x – 4|> 6

Answers

Answer 1

Answer:

x>10  or x< -2

Step-by-step explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6    or x-4 < -6

Add 4 to each side

x-4+4 > 6+4   or x-4+4 < -6+4

x>10  or x< -2


Related Questions

Which of the following statements are true? Select all that apply. A. 1,000 is both a perfect square and a perfect cube. B. 27 is a perfect cube. C. 6 is neither a perfect square nor a perfect cube. D. 9 is a perfect cube. E. 36 is a perfect square.

Answers

B, C, and E are true

Answer:

C

E

Step-by-step explanation:

3.0040916 to the nearest hundred thousandth

Answers

Answer:

3.004

Step-by-step explanation:

If you were to round it like this: 3.0041, the thousands place would still be 4, so it would come out to be 3.004. Hope that helps!!

What is 50 divided by 8?

Answers

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

use the given sets to answer the following questions A=1,3,5,7 B=2,3,4,5,6,8 c=2,3,5 D=1,2,3,4,5,6,8

Answers

Step-by-step explanation:

Steps are in the picture above.

HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?

A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²

Answers

Answer:   142 cm^2  (choice B)

=========================================================

Explanation:

Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.

To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.

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

The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.

Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas

3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2

I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.

The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15

Lastly, we'll add up the sub-areas to get the grand total

A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area

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

Another pathway to the answer:

If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions

L = 7 cmW = 5 cmH = 3 cm

The order of L,W,H doesn't really matter.

Then we can use the 3D block surface area formula like so

SA = 2*(LW + LH + WH)

SA = 2*(7*5 + 7*3 + 5*3)

SA = 2*(35 + 21 + 15)

SA = 2*71

SA = 142 cm^2 is the surface area

As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.

Simplify addition radical expression

√36+√64

Answers

Answer:

14

Step-by-step explanation:

√36+√64

√36=6

√64=8

6+8

14

THANK YOU

Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).

In slope intercept form

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y -  [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~

m = - [tex]\frac{1}{2}[/tex]

( - 10, 1 )

y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]

y - 1 =  - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)

y = - [tex]\frac{1}{2}[/tex] x - 4

¿How to solve with logarithms?

See image please

Answers

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

please answer this question​

Answers

Answer:

3

Step-by-step explanation:

[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]

therefore,

[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]

however, since logarithms cannot have negative arguments, x can only be +3

i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.

Which number is the largest?

Answers

54.895 is your answer

Answer:

54.895

Step-by-step explanation:

hopes it's help you

Multiply (2a-5)(4a-7) Simplify your answer

Answers

[tex](2a - 5)(4a - 7)[/tex]

[tex]2a(4a - 7) - 5(4a - 7)[/tex]

[tex]8 {a}^{2} - 14a - 20a + 35[/tex]

[tex]8 {a}^{2} - 34a + 35[/tex]

Step-by-step explanation:

( 2a - 5 ) ( 4a - 7 )

2a ( 4a - 7) - 5 ( 4a - 7 )

8a² - 14a - 20a + 35

8a² -34a + 35

Help please due today

Answers

Answer:

Base: 24 and height:6

Step-by-step explanation:

Answer:

Base: 24

Height: 6

Step-by-step explanation:

The question says a scale factor of 1/2 so divide by 2. It says scale back

so you know as well that your answer is going to get bigger.

Original Base = 48/2 or (48)x(1/2)

Original Height = 12/2 or (12)x(1/2)

A display case of plastic bracelets are marked 13 for $3. If Nate has $60, how many plastic bracelets can Nate get? (assume no other taxes or fees)

Answers

Answer:

$4

Step-by-step explanation:

We can write a ratio to solve

15 stickers       30 stickers

----------------- = -------------

2 dollars           x stickers

Using cross products

15x = 2*30

15x = 60

Divide by 15

15x/15 = 60/15

x = 4

Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)

Answers

Answer:

Answer is 4 I think!!

Answer is 3.5-3.7i don’t haven’t any clue to the Braine amd I don’t know!!!!!

(7 - 1) to the 2 power plus 2 and to the 4 power - 8

Answers

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

What is the equation of a line parallel to y=1/3x-4 that passes through (9,8)?

Answers

Step-by-step explanation:

Given line y=1/3x-4

slope of given line m=1/3

Slope of required line :

m=1/3

As lines are parallel then slope of lines are equal.

Using point slope form:

y-y1=m(x-x1)

p(x1,y1)=(9,8)

y-8=1/3(x-9)

3y-24=x-9

x-3y-9+24=0

x-3y+15=0

Note:if you need to ask any question please let me know.

What are the domain and range of the function below?

PLZ help me i hate algebra 2 and i started school last week

Answers

Answer:

According to the graph the point (0, 4) is the maximum of the function.

So the domain:

x = [0, +∞)

The range:

y = (-∞, 4]

find the value of xand y : x=2y and x+y=6​

Answers

Answer:

y=2 x=4

Step-by-step explanation:

Substitute x with 2y so the second equation is 2y+y=6

Then simplify your new equation:

3y=6

y=2

If y=2 and x=2( 2) then x=4

Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?

a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11

Answers

I most likely would say A.

what is 0.4 repeating written as a fraction ​

Answers

Answer:

0.4 as a fraction would be 2/5

Answer: 4/9

Step-by-step explanation:

1 year is what fraction of a decade?

Answers

Answer:

It is 1/10

Step-by-step explanation:

One decade has 10 years

[tex]{ \sf{1 \: decade = 10 \: years}} \\ { \sf{ \frac{1}{10} \: decade = 1 \: year}}[/tex]

Answer:

10% , 1/10, or 10/100

Step-by-step explanation:

There are 10 years in a decade

1/10 represents the 1 year out of the 10!

full form of ALU please tell​

Answers

Answer:

ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.

I hope this helps

Answer:

In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.

Step-by-step explanation:

find the value of a and b in (a,2)=(2,b)​

Answers

Answer:

a=2 and b=2...............

One week, Rachel earned $250. She spent $120 on food, $30 on miscellaneous items, and saved the rest.

If Rachel makes a pie chart showing how she spends her money, the central angle for the food sector would be __________.


187°


173°


90°


144°

Answers

250 is the total
120 is 48% of 250
A pie chart is a complete circle which is 360 degrees and 48% of 360 is 172.8 round that up to 173 degrees

The answer is 173

Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?

Answers

It should be about 3/10

Solve using substitution.


6x + y = 7

8x + 9y = 17

(_,_)


Please help me I really need it

Answers

You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1

The product of two whole numbers is 588 and their sum is 49. What are the two numbers?

Answers

Answer:

Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.

Answer:

28,21

Step-by-step explanation:

let the numbers be x and y

x+y=49

y=49-x

xy=588

x(49-x)=588

49x-x²=588

x²-49x+588=0

[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]

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The (Awesome) Coordinate Plane Activity
Quameer McCain
Target Practice #5
Enter an ordered pair below so that the point hits the
bullseye.
Press "Submit" to check the location of your point.
. (9,3)
Submit
• (-1, -8)

Answers

An ordered pair is simply the x-coordinate and the y-coordinate of a point.

The ordered pair of the bullseye is (4,-2.5)

From the given image (see attachment), we have:

[tex](x_1,y_1) = (9,3)[/tex]

[tex](x_2,y_2) = (-1,-8)[/tex]

The bullseye is at the midpoint of these two points.

So, the ordered pair of the bullseye is calculated using the following midpoint formula.

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

So, we have:

[tex](x,y) = (\frac{9-1}{2},\frac{3-8}{2})[/tex]

[tex](x,y) = (\frac{8}{2},\frac{-5}{2})[/tex]

[tex](x,y) = (4,-2.5)[/tex]

Hence, the ordered pair of the bullseye is (4,-2.5)

Read more about ordered pair at:

https://brainly.com/question/13688667

On a number line is 7/3 located between 2 and 3?

Answers

Answer: Yes it is.

Step-by-step explanation:

Mixed to proper

7/3 = 2 1/3

find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26

Answers

Answer:

B____C____D_____E

BC+ CE = BD + DE

(3x+47) + (x+26) = ( x+27) + (10)

4x + 73 = x + 37

4x – x = 37 – 73

3x = ‐ 36

x = – 36/ 3 —> x = 12

BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11

BD = x+ 27 = –12+27 = 15

CE = x + 26 = –12+26= 14

So;

BE = BD+ DE = 15+ 10= 25

Or ;

BE= BC + CE = 11+ 14 = 25

I hope I helped you^_^

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