Solve |y + 2| > 6

thanks

Answers

Answer 1

Answer:

[tex]\huge\boxed{y>4\ \vee\ y<-8}\\\boxed{y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)}[/tex]

Step-by-step explanation:

[tex]|y+2|>6\iff y+2>6\ \vee\ y+2<-6\qquad|\text{subtract 2 from both sides}\\\\y+2-2>6-2\ \vee\ y+2-2<-6-2\\\\y>4\ \vee\ y<-8\Rightarrow y\in(-\infty;\ -8)\ \cup\ (4;\ \infty)[/tex]


Related Questions

An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.

Answers

Answer: 6 Hours

Step-by-step explanation:

It takes 6 hours to reach the destination when traveling at 388 mph.

Speed is the ratio of total distance traveled to the total time taken It is given by:

Speed = distance/time

Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:

582 = distance / 4

distance = 2328 miles

If travelling at 388 mph, the time is:

388 = 2328 / time

time = 6 hours

Hence it takes 6 hours to reach the destination when traveling at 388 mph.

Answer:

the answer is 6

Step-by-step explanation:

speed is the ratio of total distance traveled to the total time taken It is given by: speed = distance/time

given that it takes 4 hours to reach a destination when travelling at 582 mph, hence the distance is:

582 = distance / 4

distance = 2328 miles

if travelling at 388 mph, the time is:

388 = 2328 / time

time = 6 hours

The table shows equivalent ratios. Find the missing numbers in the table.

Answers

The ratio is 1:4, so to find the second number in each set all you have to do is multiply by four.

So,

2 : 8
(2x4=8)

8 : 32
(8x4=32)

What is the result when the number 43 is decreased by 2.6%?

Answers

Answer:

41.882

Step-by-step explanation:

43 x 2.6% is 1.118, and when you subtract that from 43, you get 41.882.

Answer:

41.882

Step-by-step explanation:

43*97.4% = 41.882

Which linear equation has only one solution?
A. 3(2x+1)=6x-2
B. 2(x+3)=2x+6
C. 4x-1=2x+4
D. 3x-2=3x+5

Answers

Answer:  C is the equation with one solution.  2x = 5   x = 2 1/2

Step-by-step explanation:

choices A and D have no solutions.   A.)  6x + 3 ≠ 6x - 2  D.)  3x - 2 ≠ 3x + 5

B has infinite solutions  2x + 6 = 2x + 6 is true for any value of x.

Brainliest to first person

Answers

Answer:

It is divisible by 243

Step-by-step explanation:

(243-81)*(27+9)=

5832

5832/24=243

ion know this shi........

Answers

Answer:

area of field = 146.24 m²

Step-by-step explanation:

Total area of field = I + II + III

Total area of field = 64 + 32 + 50.24

Total area of field = 146.24 m²

A rancher plans to use 800 feet of fencing and a side of his barn to form a rectangular boundary for cattle. What dimensions of the rectangle would give the maximum​ area? What is that​ area?
SOMEONE PLEASE HELP!

Answers

Answer:

the 4 dimensions

Step-by-step explanation:


The length of a rectangle is 8 ft longer than twice the width. If the perimeter is 64 ft, find the length and width of the rectangle.

Answers

Answer:

Length: 24 feet

Width: 8 feet

Step-by-step explanation:

ok so first let the width be x. so if the width is x then the length would be 2x+8. If the perimeter is 64 you would divide it by two because it goes all the way around the rectangle. so then you have 32=(2x+8)+x. then we solve for x.

32=(2x+8)+x

32=3x+8

-8   -8

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

24=3x

8=x

now you have x=8 so that is the width. then you have the length so then you fill x in 2*8+8 is the length and your length would be 24.

Question 3 of 10 If f(x) = 3x – 12, what is f(2)? A. –6 B. 6 C. 18 D. –18

Answers

Answer:

Your answer is D

Step-by-step explanation:

f(2) This means that x is 2, so you can plug in 2 for "x" in the equation

f(x) = 3x - 12

f(2) = 3(2) - 12

f(2) = 6 - 12

f(2) = -6

This figure represents a small paperweight. The plan is to cover 60% of the total surface area, including the bottom face, of the paperweight with red cloth.


How much surface area will be covered in red cloth?



A. 57.76 cm²


B. 86.64 cm²


C. 144.4 cm²


D. 361 cm²

Answers

Answer:

86.64 cm

Step-by-step explanation:

i have no idea i guessed on got it right on the quiz

The surface area of the red cloth of 60% paperweight is 86.64 square cm. Then the correct option is B.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The surface area of the paperweight will be given as

[tex]\rm Surface \ area = 2\times (5*3 + 6*3) + 5*6 + 2 \times \dfrac{1}{2} * 5 * 2 + 2 \times (3.2 + 6)\\\\Surface \ area = 2 \times (33) + 30 + 2 \times 5 + 2\times 19.2\\\\Surface \ area = 66 + 30 + 10 + 38.4\\\\Surface \ area = 144.4[/tex]

This figure represents a small paperweight.

The plan is to cover 60% of the total surface area, including the bottom face, of the paperweight with red cloth.

The surface area of the red cloth will be

Surface area of red cloth = 0.6 × 144.4

Surface area of red cloth = 86.64 cm²

More about the geometry link is given below.

https://brainly.com/question/7558603

x2 − 15x = −50 A) x = 3, x = 5 B) x = 5, x = 10 C) x = 3, x = −5 D) x = −5, x = −10

Answers

Answer:

x = 10 or x = 5 thus: B is the answer

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 15 x = -50

Add 225/4 to both sides:

x^2 - 15 x + 225/4 = 25/4

Write the left-hand side as a square:

(x - 15/2)^2 = 25/4

Take the square root of both sides:

x - 15/2 = 5/2 or x - 15/2 = -5/2

Add 15/2 to both sides:

x = 10 or x - 15/2 = -5/2

Add 15/2 to both sides:

Answer:  x = 10 or x = 5

Anne can make 6 headbands from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression?

Answers

Answer:

0.000166666667 M^4

Step-by-step explanation:

Expression:

1 Meter divided by 6

Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)

5 over 3 tablespoons
3 over 8 tablespoon
3 over 5 tablespoon
5 over 8 tablespoon

Answers

Answer:

I think it's C but I'm still thinking about this but it's C I think

Step-by-step explanation:

Find the equation (in terms of x) of the line through the points (-4,-1) and (3,-2)

Answers

Answer:

See below.

Step-by-step explanation:

(-4,-1), (3,-2)

The slope is -1/7.

The y-intercept is approximately -1.5.

y=mx+b is the equation for standard slope-intercept form, with m being slope and b being y-intercept.

y=-1/7x-1.5

-hope it helps

Apply the distributive property to factor out the greatest common factor.
{22c + 33d} =22c+33d

Answers

Answer:

See below.

Step-by-step explanation:

The GCF of 22 and 33 is 11.

11(2c+3d)

-hope it helps

Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects that Mia can complete with this ribbon?

Answers

Answer:

7.25

Step-by-step explanation:

what is the value of n in this equation?(2.4 x 10^3) x (3 x 10^n) = 7.2 x 10^9​

Answers

Answer:

The value of n (or x) is 6

Step-by-step explanation:

its simple you see the 3 and you see the nine

9-3=6

work smarter not harder

As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?

Answers

Answer:

33.33 repeating

Step-by-step explanation:

because 75 divided by 25 is 3 so it is 1/3

A cylinder has a height of 7cm.
The circumference of the cylinder is 10pi
Calculate the volume of the cylinder in terms of pi
cm3

Answers

Answer:

[tex]175\pi \textsf{ cm}^3[/tex]

Step-by-step explanation:

Circumference of a circle:

[tex]C=2\pi r[/tex]  (where [tex]r[/tex] is the radius)

Given circumference = [tex]10\pi[/tex]

[tex]\implies 10\pi=2\pi r[/tex]

[tex]\implies r=5[/tex]

Volume of a cylinder:

[tex]V=\pi r^2h[/tex]   (where [tex]r[/tex] is the radius and [tex]h[/tex] is the height)

[tex]\implies V=\pi \cdot5^2\cdot 7[/tex]

[tex]\implies V=175\pi \textsf{ cm}^3[/tex]

Natalie has a budget of $15,000 dollars to spend on tracking devices to study bison. A radio tracker costs $650 and a GPS tracker costs $1400. Natalie wants to buy at least 9 radio trackers and more than 3 GPS trackers. The following system of inequalities represents this situation, where x is the number of radio trackers and y is the number of GPS trackers. x ≥ 9 y > 3 650x + 1400y ≤ 15000

Answers

I think its Cheap GPS trackers can be purchased from stores such as Walmart or Target. They can also be purchased from electronics stores such as Best Buy.

Determine the Future Value (FV) of your account, after 2 years, if you invest $7580 in an account that pays a simple interest of 6%.

Answers

Answer:

8489.6

Step-by-step explanation:

We know that:

[tex]T=2\\ P=7580\\ R=6\ percent[/tex]

Substitute into formula

[tex]T=2\\ P=7580\ into\ formula\\ R=6\ percent\\ F=P+prt\\ F=7580+7580rt[/tex]

Calculate

[tex]7580\times(1+0.06\times2)[/tex]

Calculate the product or quotient

[tex]7580\times(1+0.12)[/tex]

Calculate the sum or difference

[tex]7580\times1.12[/tex]

Calculate the product or quotient

[tex]8489.6[/tex]

I hope this helps you

:)

which number produces a rational nunber when multiplied by 0.5?

Answers

Answer:

2.22

Step-by-step explanation:

it is 2.22 because 111/100 gives a rational number

and it is a rational number because it has no repeating decimal

Answer:

10

Step-by-step explanation:

just try 10 i think thats the answer

HELP ME I DONT KNOW WHAT TO DO I DONT UNDERSTAND AT ALL

Answers

Answer:

907.46 cm

I guess it may be but iam not sure

Finding an area of a circle: 3.14*r^2

But they gave us diameter instead of radius, to find radius: r= D÷2 so 84 ÷2= 42.

Area: 3.14*42^2
Area: 3.14* 1764
Area: 5538.96cm^2

What is the answer?

Answers

Answer:

C

Step-by-step explanation:

Volume = 0.5 * Base * Height * Length

You have to multiply by 0.5 because it is a Triangular prism

base(b) = 4.1

Height (h) = 7.2

Length (l) = 3.5

Plug in the numbers to the equation below and you get 51.66

Hope this Helps! :)

Write a multiplication equation that represents the equation:how many 3/8s are in 5/4?

Answers

Answer:

5/4 ÷ 3/8

Explanation:

This represents how many 3/8s are in 5/4 because that question indicates a division problem.

2.
If the convenience store manager expects to sell 540 pieces of candy next week, which is the best
prediction of how many Reese's they should have in the store?
a. 108
b. 135
c. 81
d. 216

Answers

Using proportions, considering that one-fourth of the candies they sell is Reese's, the best prediction is given by:

b. 135.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we suppose that it is estimated that one-fourth of the candies they sell is Reese's, hence the best prediction for the number out of 540 pieces is given by:

E = 540 x 1/4 = 540/4 = 135.

Which means that option B is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Right ? Or wrong help

Answers

Answer:

I think thats right

Step-by-step explanation:

This diagram shows a park's walking path in the shaded area.

The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters.

What is the area of this walking path?

Use 3.14 for π.

Enter your answer as a decimal in the box.
Point theif = ban

Answers

Answer:

150.72 m²

Step-by-step explanation:

To find the shaded area, calculate the area of the smaller (white) circle and subtract it from the area of the larger circle.

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

Formulae

Area of a circle = [tex]\pi r^2[/tex]Circumference of a circle = [tex]2\pi r[/tex]

(where [tex]r[/tex] is the radius of the circle)

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

Area of large circle

Given:

circumference = 50.24 m[tex]\pi[/tex] = 3.14

⇒ 50.24 = 2 × 3.14 × r

⇒ r = 8 m

Therefore:

⇒ Area = 3.14 × 8²

             = 200.96 m²

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

Area of small circle

Given:

circumference = 25.12 m[tex]\pi[/tex] = 3.14

⇒ 25.12 = 2 × 3.14 × r

⇒ r = 4 m

Therefore:

⇒ Area = 3.14 × 4²

             = 50.24 m²

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

Area of shaded path

area = area of large circle - area of small circle

        = 200.96 - 50.24

        = 150.72 m²

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

g less than 45 in algebraic expression

Answers

Answer:

g<45

Step-by-step explanation:

since it says less than it faces <

Subtract 7/8−1/12. don't know

Answers

Answer:

See below.

Step-by-step explanation:

Find the Lowest Common Multiple, or LCM of 8 and 12.

8 - 8, 16, 24

12 - 12, 24

7 x 3 = 21

8 x 3 = 24

1 x 2 = 2

12 x 2 = 24

21/24 - 2/24 = 19/24

-hope it helps

You can use calculator.
If not allowed, 7/8x(12/12) - 1/12x(8/8)

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