8|x-2|=2 solve for x

Answer:

D, [tex]w\geq 23[/tex]

Step-by-step explanation:

The length is 6 inches longer than it's width, therefore:

[tex]l=w+6[/tex]

The area of the rectangle is AT LEAST 667 square inches, so:

[tex]lw\geq 667[/tex]

Now, we have a system of two equations:

[tex]\left \{ {{l=w+6} \atop {lw\geq 667}} \right.[/tex]

We want to isolate the width, so substitute the first equation into the second to eliminate the length.

[tex](w+6)w\geq 667[/tex]

Simplify:

[tex]w^2+6w\geq 667[/tex]

Since we now have a polynomial equation that needs to be factored, set the value of one side to 0.

[tex]w^2+6w-667\geq 0[/tex]

Now factor the equation:

[tex](w-23)(w+29)\geq 0[/tex]

Taking each factor individually, we find the following:

[tex]w\geq 23\\w\geq -29[/tex]

Since a negative width doesn't make any sense, we can eliminate that solution, and we are left with the correct answer!

[tex]w\geq 23[/tex]

Answer: 51.96m

Step-by-step explanation:

We can solve this using cosine, remember SOHCAHTOA, so cos is adjacent over hypotenuse.

hyp = 60

adj = ?

[tex]cos = \frac{adj}{hyp}\\cos 30 = \frac{x}{60} \\\\cos30 *60=x\\x=51.96m[/tex]

After simplifying the expression √80y³, we get the answer as 4 y √5 y.

We are given that:

√80y³

We have to simplify it.

We will first make the factors of it.

Factors of 80:

80 = 2 × 2 × 2 × 2 × 5

Factors of y³:

y³ = y × y × y.

Now the expression can be re- written as:

√2 × 2 × 2 × 2 × 5 × y × y × y.

Simplifying it:

2 × 2 × y √5 y

4 y √5 y

Therefore, after simplifying the expression √80y³, we get the answer as 4 y √5 y.

Learn more about simplification here:

https://brainly.com/question/723406

#SPJ9

Answer:x=−19

Step-by-step explanation: work in your head ppl

Answer: -3

Step-by-step explanation:

trust me

Answer:

What do I solve for with these functions?

Step-by-step explanation:

The dimensions of the rectangle are:

To find the dimensions of the rectangle:

Let,

Extend the area equation as follows:

Rearrange:

Substitute known information for A:

To solve quickly, factor the left side (or use the quadratic formula):

The factorial solutions for w are -2 and 7/2.

Assuming this is a genuine rectangle, the width must be positive.

As a result, the length is:

That is,

Therefore, the dimensions of the rectangle are:

Know more about the area here:

https://brainly.com/question/25292087

#SPJ4

The complete question is given below:
The area of a rectangle is 14 yd², and the length of the rectangle is 3 yd less than double the width. find the dimensions of the rectangle.

Answer:

In one gram, there are 1000 milligrams.

To convert g to mg, multiply the gram value by 1000.

Answer:

0

Step-by-step explanation:

Answer:

Answer is in the picture attached

This shows that she covered 0.4 miles in 10mins

Speed is defined as the rate of change of distance.

If it takes 24 minutes for jana to walk one mile, the rate of Jana is expressed as;

Rate= 24/1 mile

Rate = 24min/mile

In order to determine the distance she walk in 10 minutes, we will have;

Distance in 10min = 10/24

Distance in 10 min = 0.4 miles

This shows that she covered 0.4 miles in 10mins

Learn more on rate of change here: https://brainly.com/question/25184007

#SPJ1

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

[tex]P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188[/tex]

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

Learn more about the Binomial probability Distribution here:

https://brainly.com/question/15902935

#SPJ4

Answer:

Hello,

Step-by-step explanation:

16)

Area of the square= 5²=25 (unit of square)

17)

Volume of the cube =3^3 =27 (unit of volume)

18)

side of the cube =5 (unit of lenght)

Volume of the cube = (5 (unit of lenght)) ^3

=125 * (unit of lenght)^3 =125 (unit of volume)

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

What is a standard deviation?

Sample mean (T) = 13.11%

Sample standard deviation (s) = 2.6

Sample size (h) = 25

significance level = α = 1 -0.90 = 0.1

Degrees of freedom for t- distribution (df) = 24

Critical value = ta/2

df = [tex]t_{0.1}[/tex], df=24 = ±2.80

The margin of error (E) =[tex]t_\frac{a}{2} , df\frac{s}{\sqrt{h} }[/tex]

E=2.8X [tex]\frac{2.6}{\sqrt{25} }[/tex] =1.456

Limits of 90%. Confidence Interval is.

Lowest limit = X' - E = 13.11-1.456 = 11.65

Upper limit= X' + E = 13.11+1.456 = 14.566

90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.

Learn more about standard deviation here:

https://brainly.com/question/24298037

#SPJ4

The statement ''The average age of the students in a statistics class is 20 years'' describes descriptive statistics.

To learn more about descriptive statistics visit:

https://brainly.com/question/28352023

#SPJ4

Answer:

36

Step-by-step explanation:

The constant is the number when complete simplified, which in this case would be only formed by squaring the 6, equaling 36.

Hope this helps! :)

Answer: +36

Step-by-step explanation:

(x - 6)² simplified: x^2 -12x + 36

The constant in this algebraic expression is 36 because it's value or number doesn't change in the expression (x^2 -12x + 36)

Answer:

- 4/5 /decimal form -0.8

Step-by-step explanation:

Answer:

22.2%

Step-by-step explanation:

Total number of people at the recreation center=81

Number of people swimming=18

=18/81 x 100

=22.22222

Round of to the nearest tenth

=22.2%

To minimize their royal costs to $200, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

Ratios are numerical relationships between variables that show how much each variable is contained in another.

Ratios are stated in fractions, percentages, or decimals.

Total songs to include in the song = 20

The ratio of Donovan and Beatles = 5:1.5

The number of Donovan songs to include = 15 (20/6.5 x 5)

The number of Beatles songs to include = 5 (20/6.5 x 1.5)

Royalty cost per Donovan song = $11

Royalty cost per Beatles song = $7

Total royalty costs for Donovan and Beatles song = $200 ($11 x 15 + $7 x 5)

Thus, the number of Donovan songs to include is 15 and the number of Beatles songs to include is 5.

Learn more about ratios at https://brainly.com/question/2914376

#SPJ1

Aji and Sunshine want to make a CD of songs from the 1960s to donate to their school library to be broadcast during school picnics. Sunshine's parents were big fans of the 60s singer Donovan, and they named her after his song "Sunshine Superman." Aji's folks were devotees of the Beatles. Aji and Sunshine want their CD to consist entirely of songs by Donovan and the Beatles. Because Sunshine is named after a Donovan song, she wants to include at least as many Donovan songs as Beatles songs. Aji agrees. In return, Sunshine agrees to include at least five Beatles songs. 5 1.5 To provide enough variety to make the mix interesting, they decide to include at least 20 songs altogether.

A positive association occurs when an increase in one variable is generally associated with the increase in the second variable and a negative association occurs when one variable tends to decrease as the other increases.

An association is any relationship between two factors that produces them subordinate, i.e. knowing the value of one variable gives us some data around the possible values of the moment variable.

The objective of this variable is to utilize clear measurements and visualisations to investigate affiliations among different kinds of factors.

To learn more about the positive association, visit;

https://brainly.com/question/18649433

#SPJ4

The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y).

An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.

For example 3x +5y

Given the phrase,

x over 4 = x/4

y over 3  = y/3

Combine x/4 + y/3

x over 3 minus y over 4 = x/3  - y/4

Therefore ;

(x/4 + y/3) ÷ (x/3  - y/4)

⇒ (3x + 4y)/12 ÷ (4x - 3y)/12

The second fraction will inverse in multiplication

⇒ (3x + 4y)/12 × 12/(4x - 3y)

⇒ (3x + 4y) / (4x - 3y).

Hence "The simplified form of a given phrase x over 4 plus y over 3 all over the quantity x over 3 minus y over 4 is (3x + 4y) / (4x - 3y)".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ1

Answer:

A) 4

Step-by-step explanation:

First note that m cannot exceed 10 otherwise 100-m² will be negative and √(100-m²) will not be a real number much less an integer

Enumerate all values of m from 0 through 10, find the square, subtract from 100 and see if the result is a perfect square.- we take the square root and see if it is an integer value. The table below details everything. m and n are integers on in 4 cases m = 0, 6, 8 or 10.

Hence the answer is 4 solutions

m   m²    100-m²    √(100-m²)        

0 0 100        10

1 1 99

2 4 96         9.797958971

3 9 91         9.539392014

4 16 84         9.16515139

5 25 75         8.660254038

6 36 64         8

7 49 51         7.141428429

8 64 36         6

9 81 19        4.358898944

10 100 0        0

Answer:

Choice 3

Step-by-step explanation:

The graph fails the vertical line test.

AT 25 SQUARE FEET OF FLOORING

CHOOSE WOODY'S HARDWOOD FLOORING

Typically, the price of engineered hardwood flooring is $6 to $10 per square foot, plus $1.75 to $2.20 per square foot for installation. High-quality hardwood flooring typically costs between $6 and $13 per square foot from customers. Your home renovation project could be very stressful. Expectations, timeframes, budgets, and the cost of flooring contractors all need to be harmonized.

There will always be a time when you want to give up on the renovation project. For some reason, finding someone to install your flooring is usually the first step.

1 - 8s + 150 = 6s + 200

      2s = 50

         s= 25 sq.feet

2 - 120 * 8 + 150 = 1110

      120 * 6 + 200 = 920

1110 > 920

so choose woody's hardwood flooring.

LEARN MORE ABOUT FLOORING OF HARDWOOD HERE :

brainly.com/question/14330350

#SPJ9

The midpoint of the line segment with the endpoints is (2.4, -1)

The endpoints are given as:

(3.2,2.5) and (1.6,-4.5)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (3.2 + 1.6, 2.5 - 4.5)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (4.8, -2)

Evaluate the products

So, we have:

Midpoint = (2.4, -1)

Hence, the midpoint of the line segment with the endpoints is (2.4, -1)

Read more about midpoint at

https://brainly.com/question/24311350

#SPJ1

The given number is a real number.

A real number is a value of a continuous quantity that can be used to indicate a distance along a line in mathematics.

We are given the following in the question:

{natural​ numbers, whole​ numbers, integers, rational​ numbers, real numbers}

π / 108

We have to tell the type of number that describes the given fraction.

Evaluating the value, we have,

0.0290888208666...........

This is not a natural number or a whole number. This is not a rational number.

Since is an irrational number, thus quotient of an irrational number and a rational number is an irrational number.

Thus, it is a real number.

The complete question is given below:-

Choose the first set in the list of natural​ numbers, whole​ numbers, integers, rational​ numbers, and real numbers that describes the following number. StartFraction pi Over 108 EndFraction.

To know more about real numbers follow

https://brainly.com/question/155227

#SPJ4