How to solve 3-2/5x-12/5=10-2x/5

Answer:

A

Step-by-step explanation:

STEP 1:

Isolate the square root on the left hand side

Radical already isolated

√2x-9 = x-6

STEP 2:

Eliminate the radical on the left hand side

Raise both sides to the second power

(√2x-9)2 = (x-6)2

After squaring

2x-9 = x2-12x+36

STEP 3:

Solve the quadratic equation

Rearranged equation

x2 - 14x + 45 = 0

This equation has two rational roots:

{x1, x2}={9, 5}

STEP 4:

Check that the first solution is correct

Original equation

√2x-9 = x-6

Plug in 9 for x

√2•(9)-9 = (9)-6

Simplify

√9 = 3

Solution checks !!

Solution is:

x = 9

STEP 5:

Check that the second solution is correct

Original equation

√2x-9 = x-6

Plug in 5 for x

√2•(5)-9 = (5)-6

Simplify

√1 = -1

Solution does not check

1 ≠ -1

One solution was found :

x=9

Hope this helps!!

Part a: p gets closer to 0, the number of T-shirt purchased increases.

Part b: p gets larger, the number of T-shirt purchases decreases: so it is a decreasing function.

For the given function;

The relation of the number of T-shirt and the price of the T-shirt are given by the function; n(p) = 800/p.

The graph of the function is given as; y = n(p)

From, the graph it is clear that when, the value on x axis increases, the value on y-axis decreases.

Thus, the function is decreasing function.

Part a: p gets closer to 0,

Now, when, p gets closer to 0, the number of T-shirt purchased increases as the there is a reduction of the price of T-shirt.

Part b: p gets larger.

When p gets larger, the number of T-shirt purchased decreases, as there is a increase in the price of the T-shirt.

Thus, the T-shirt purchased will be reduced.

To know more about the decreasing function, here

https://brainly.com/question/2649645

#SPJ13

5 inches

I just randomly guessed

The probability of drawing two queens without replacement from ths standard deck is 1/221.

Probability is the likelihood that an event will occur.

In a standard deck of cards, the total number of cards is 52.

There are 4 queens, the probability of drawing the first queen is 4/52.

After the first draw, there'll be 3 queens left and 52 cards. Therefore, the probability will be:

= 4/52 × 3/51

= 1/13 × 1/17

= 1/221

The probability is 1/221.

Learn more about probability on;

brainly.com/question/24756209

#SPJ1

After using conversion of measurements , the answer is

60 km = 37.28 miles and 600km = 372.83 miles.

What is conversion of measurements?

  By multiplying or dividing a number, a conversion factor can be used to change one set of units to another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. The correct conversion factor, for instance, is 12 inches to 1 foot when converting between inches and feet. We must convert between different units in order to have accuracy and prevent measurement confusion.

Here the given we need to convert them km into miles.

To convert km to miles we need to divide the value by 1.609 .

=> 60 km

=> 60/1.609

=> 37.28 miles.

Now ,

=> 600 km

=> 600/1.609

=> 372.83 miles.

Therefore after conversion of measurement answer is

60 km = 37.28 miles and 600km = 372.83 miles.

To learn more about conversion of measurement refer the below link

https://brainly.com/question/13893070

#SPJ1

The division of negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 is A. 265 over 287

A division simply shows the separation of the number that is given. It should be noted that division is illustrated by the symbol / or ÷.

In this case, negative 7 and 4 over 7 ÷ negative 8 and 1 over 5 will be:

= (- 7 4/7) ÷ (- 8 1/5)

= - 53/7 ÷ (-41 / 5)

= -53/7 × -5/41

= 265 / 287

Therefore the correct option is A.

Learn more about division on;

brainly.com/question/27601809

#SPJ1

Answer: 265/287

I'm not an average brain like other people.

The required equation of g(x) for reflection of f(x)=x-2 across the y-axis is g(x)=-x-2.

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

Given that,

f(x)=x-2

To find the required equation  for g(x) that is reflected across the y-axis, Use reflection property,

According to reflection property,

Reflection Across the y-axis, the x change in -x and the remaining part of the equation remains same.

The equation of f(x) changes in g(x) as g(x)=-x-2,

So, the equation of g(x)=-x-2 .

To learn more on Reflection :

https://brainly.com/question/15487308

#SPJ1

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

The total sector of a circle is 360°

The area of the sector of 270° is 37.68 square meters.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

Area = πr²

We have,

The radius of the circle = 4 m

The total sector of a circle is 360°

The area of the sector with 270°.

= (270°/360°) x πr²

= 0.75 x πr²

= 0.75 x 3.14 x 4²

= 37.68

= 37.7 square meters

Thus,

The area of the sector of 270° is 37.68 square meters.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ2

The angle of pairs = 170.

The scalar product is the product between two vectors whose result is a scalar.

Where A and B are the vectors, |A| and |B| are the modules of the vectors and θ at the angle between them.

The vector is given in Cartesian coordinates and the unit vectors in these coordinates are perpendicular.

We look for the modulus of each vector.

In conclusion using the dot product we can find the angle between the two vectors is:

Hence, the angle θ = 170º

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ13

The cost, in dollars, of each baseball is B. $6.00.

The first customer paid $60.00 for 4 baseballs and 2 gloves. This will be expressed as:

4b + 2g = 60

The second customer paid $84.00 for 5 baseballs and 3 gloves. This will be:

5b + 3g = 84

Collect both expressions

4b + 2g = 60

5b + 3g = 84

Multiply equation i by 3

Multiply equation ii by 2

12b + 6g = 180

10b + 6g = 168

Subtract

2b = 12

Divide

b = 12/2

b = 6

The baseball is $6.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

1st Table : Linear

2nd Table : Non-Linear

Step-by-step explanation:

To determine if the function is Linear or not , we find the change in y with a certain change in x

So for the 1st Table:

When x changes from x = 2 to x = 4 increased by 2

Then  y changes from y = 3 to y = 0 decreases by 3

When x changes from x = 4 to x = 6 increased by 2

Then  y changes from y = 0 to y = -3 decreases by 3

Since change in y is the same for the same change in x , Then the Function is Linear

So for the 2nd Table:

When x changes from x = 1 to x = 2 increased by 1

Then  y changes from y = 1 to y = 4 increased by 3

When x changes from x = 2 to x = 3 increased by 1

Then  y changes from y = 4 to y = 9 increased by 5

Since change in y is not the same for the same change in x , Then the Function is Non-Linear

Glad to Help

Answer:

No

Step-by-step explanation:

It does not make sense becuse 6x9=54

And 4x9(2)=72 so it would make no sense

a) The inequality is

P + S + M > 60

b) The solution of the inequality is:

P > 19

Where P is Pedro's age.

c) The oldest brother has more than 21 years-

Let's define the variables:

p = Pedro's age.

S = Sebastian's ae

M = Manuel's age

We know that the sums of their ages is more than 60, then:

P + S + M > 60

This is the inequality.

b) We know that the brother are one year apart, then:

S = P + 1

M = P + 2

replacing that we get:

P + P + 1 + P + 2 > 60

3P + 3 > 60

3P > 60 - 3

3P > 57

P > 57/3 = 19

P > 19

So Pedro has more than 19

c) The oldest brother is 2 years older than Pedro, then:

M > 19 + 2

M > 21

Manuel is more than 21 years old.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

$17690 is the amount Michael owed his dad .

 Equations and equations of maximum degree 1 are also called "linear equations". The linear equation formula can be written as Y = mx + b. where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slope indicates the direction and slope of the line. . This is because (0,y) is the point where the line intersects the y-axis.

The amount Michael owes is given by :

y = - 290x +18,560

x = number of months ; y = amount owed

Amount owed after 3 months :

Put x = 3 in the equation :

y= - 290(3) +18,560

y = - 870 + 18560

y = 17690

According to the general form of a linear equation :

y = mx + c

Where, m = slope ; c = intercept

The slope = - 290 ; Intercept = 18560

Slope is the change in y per unit change in x ; The slope means that amount owed, y decreases by 290 per month

The intercept shows that the original amount borrowed is 18560

Amount Michael owes his father decreases by 290 per month.

learn more about linear equation here :

brainly.com/question/13738061

#SPJ13

Answer:

1:commutative

2:distribution

3:3+0=3

4:distributive

5:

Answer:

c

Step-by-step explanation:

cause -14w-3-(5w)

-14w-5w-3

-19w-3

The values of x and y are 4 and 3 respectively, this forms an ordered pair of (1,3) and (4,-3).

Given the equation and ordered pair the question;

To determine, the y-value, plug the x-value into the equation and solve for y.

6x + 3y = 15

Plug in x = 1

6(1) + 3y = 15

6 + 3y = 15

3y = 15 - 6

3y = 9

y = 9/3

y = 3

To determine, the x-value, plug the y-value into the equation and solve for x.

6x + 3y = 15

Plug in y = -3

6x + 3( -3 ) = 15

6x - 9 = 15

6x = 15 + 9

6x = 24

x = 24/6

x = 4

Therefore, the ordered pair are (1,3) and (4,−3).

Learn more about functions here: https://brainly.com/question/28780365

#SPJ1

The polynomial in standard form is equal to 2 · x³ + 12 · x² - 64.

Cubic equations have three roots. In this problem we need to derive a cubic equations whose three real roots (r₁, r₂, r₃) and leading coefficient (a) are given. The procedure consists in substituting on factor form of a cubic polynomial and expanding the resulting expression until standard form is obtained.

First, substitute on the factor form of the cubic equation:

y = 2 · (x - 2) · (x + 4)²

Second, expand the polynomial until its standard form is found:

y = 2 · (x - 2) · (x² + 8 · x + 16)

y = 2 · (x³ + 8 · x² + 16 · x - 2 · x² - 16 · x - 32)

y = 2 · (x³ + 6 · x² - 32)

y = 2 · x³ + 12 · x² - 64

The polynomial is equivalent to 2 · x³ + 12 · x² - 64.

To learn more on cubic functions: https://brainly.com/question/27274079

#SPJ1

Answer:

(simplify 26³)

26³ = 17,576

= 17,576 + 5 = 3³+57

(simplify 3³)

3³ = 27

= 17,581 = 27+57

= 17,581 ≠ 84

Answer:

48 square inches

Step-by-step explanation:

A=1/2 bh

A=(1/2)(8)(12)

A=(4)(12)

A=48 square inches

you can also multiply 8 x 12 then divide by 1/2 or 2 which is still 48. either way is correct but since the formula is half of the base times height that is the step i followed. Also area is always whatever measurement used (in this case inches) squared.

Answers

The primary difference explained in capitalism vs communism is that capitalism is an economic system that allows private ownership and promotes the idea of a free market; in contrast, communism favours collective ownership and restricts the free market with government intervention portraying a planned economy.

Explanation

What is Capitalism?

Capitalism occurs when people are allowed to own and control capital assets, use them according to their self-interest, and earn profit by producing valued goods and services utilizing capital resources. In a capitalist economy, government intervention will be minimal; hence, the production of goods and services is driven by supply and demand. It creates an environment that promotes individualism, innovations, competition, efficient allocation of resources, the efficiency of the private sector, presenting consumers with better choices, and improving living standards. capitalism vs communism.

On the other hand, capitalism is often blamed for favouring the rich. The opponents of the system advocate that in capitalism, the rich get richer and the poor get poorer instigating the unequal distribution of wealth and inequality, creating social division. Moreover, in the wake of producing profit, the capitalist model exploits the workers, and unfair competition can also lead to the emergence of monopolies in specific sections. All these disadvantages communicate the need for the reformation of capitalism.

What is Communism?

Communism ideology aims to establish common ownership and eliminate the private property concept. It simply focuses on replacing private ownership and introducing state-owned organizations, projects, resources, and properties, ensuring economic equality and fairness. Such economies work towards achieving social development, welfare, and the overall development of all the citizens of a nation.

China has long been a significant example of a communist government where the government-controlled major resources, funds, products, and services, but later due to globalization and certain other aspects, has started implementing some elements of capitalism to grow business and take advantage of trade opportunities. Similarly, it has been observed that many nations turn their heads toward capitalism to obtain more opportunities, attain industrialization, and reap the benefits of globalization hence strengthening the capitalism vs communism debate.

Capitalism and communism are inherently contrasting concepts. While capitalism propagates individualism, communism is associated with collectivism. Industrial capitalism was popularised in the 18th century, and modern communism was propagated in the 19th century.

The instances reflecting the conflict based on these ideologies were prevalent from the old times. For example, ideological conflict, and capitalism vs. communism in the Cold War of the 20th century. During the Cold War, the United States and Western European nations were based on capitalism and democracy. In contrast, the Soviet Union was based on communism and dictatorship, and Eastern European nations were under Soviet communist control. Many of the significant events in the Cold War contributed to explaining whether capitalism was better than communism or not.

Step-by-step explanation:

Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)

Y value is also called f(x) as shown on your screen

The points are

(1,-8)

(2,5)

(3,-2)

(4,1)

The domain would be 4,3,2,1 and the range would be -8,-2,1,5

The common difference is that the domain follows a constant change of rate, but not the range.

A constant change of rate means that it's changing at a constant rate.

It can also be called slope.

E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)

The domain is subtracting 1, yet the range isn't following a constant change of rate.

A way to find slope is in the image.

The following relation are said to be the functions:

{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}

Relation:

Relation in math is a set of ordered pairs defining the relation between two sets.

Given,

Here we have the following relation

{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}

{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}

{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}

{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}

Now, we need to identify the which relations are the functions.

We know that the function means the relation in math such that each element of the domain is related to a single element in the codomain.

While we check this condition with each relation then we get,

{(-5, 1), (-5, 0), (-2, 1), (-1, 4), (6, 2)}

This one is not a relation because here -5 take two output values.

{(-5, 1), (-2, 0), (-2, 2), (3, 4), (6, 2)}

This one is not a relation because here -2 take two output values.

{(-5, 1), (-2, 0), (-1, 1), (2, 4), (6,3)}

This one is a function because each domain has exactly one co domain

{(-5, 3), (-2, 0), (-1, 2), (6, 4), (6,3)}

This one is not a relation because here -6 take two output values.

To know more about Relation here.

https://brainly.com/question/28135052

#SPJ1

Answer:

Answer would be $3.25

Step-by-step explanation:

First you would have to divide 19.5 by 6 to get 3.25 then check your answer by multiplying 3.25 by 6 which would be 19.50 .

Answer: I would say a half of beef is cheaper the pounds are different maybe subtract a half from five

Step-by-step explanation:

Answer:

The answer you are looking for is 0.35 foot per second.

Step-by-step explanation:

Formula = divide the speed by 20

(Or in this case 7 divided by 20).

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.

Comparing one quantity to another is what it is. For instance, the weight ratio is 1:3 if you weigh 30 kg and your father weighs 90 kg.

Given:

The ratio of vertical and horizontal distance = 1:12,

The vertical distance of  Mrs. Giles's business  = 28 inches,

If for every one unit of vertical distance, the ramp must have 12 units of horizontal distance, so or 28 inches vertical distance the horizontal distance would be = 28 × 12 = 336 inches,

([tex]1 feet = 12inches[/tex])

= 336 / 12 = 28 feet

Therefore, The length of the horizontal distance of the ramp if The entrance to Mrs. Giles's business is 28 inches higher than the parking lot in front of her store is 28 feet.

To know more about Ratios:

https://brainly.com/question/13419413

#SPJ1