2(3a - 12) = 3(2a - 8)
One solution
Infinitely many solutions
No solutions

Answer:

P = 4x+10

Step-by-step explanation:

So a parallelogram has 2 set of sides which are parallel and equal. So if you're given two adjacent sides, that means you're given a side from each set of sides, which are equal. This means the perimeter is simply: 2(x+3) + 2(x+2). This can be further simplified by distributing the 2 which gives you the equation: 2x+6+2x+4, which further simplifies to 4x+10.

For the function f(x) = x + 2, the value of x when f(x) = 1, gives x = -1

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Given that:

f(x) = x + 2

When f(x) = 1, substituting:

1 = x + 2

x = -1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:it isA

Step-by-step explanation:

Answer:

8x^6

Step-by-step explanation:

Add the exponents and multiply the numbers

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:

- 14, - 7 or 7, 14

Step-by-step explanation:

Let the the two integers be x and (x + 7)

\( \therefore \: x(x + 7) = 98 \\ {x}^{2} + 7x - 98 = 0 \\ {x}^{2} + 14x - 7x - 98 = 0 \\ x(x + 14) - 7(x + 14) = 0 \\ (x + 14)(x - 7) = 0 \\ (x + 14) = 0 \: or \: (x - 7) = 0 \\ x = - 14 \: or \: x = 7 \\ \\ when \: x = - 14 \\ x + 7 = - 14 + 7 = - 7 \\ \\ when \: x = 7 \\ x + 7 = 7 + 7 = 14 \\ \)

Hence the required integers are - 14, - 7 or 7, 14

Answer:

16 cm

Step-by-step explanation:

4 + 4 + 3 + 5 = 16

The = sign means that B (which is 4 cm) is equal to D (which had no number)

And because it says that B = D (with the squiggly line (or a tilde)) And the L's (which means that the letters represent an angle) All you have to do is add the numbers together, and you get 16.

Sorry if I explained it badly, you at least got the answer.

(And also, if I'm wrong, please tell me.)

Answer:

P = 32 cm

Step-by-step explanation:

Im just putting the right answer up so you don't accidentally put in the wrong one.

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

the probability is %25 percent :P

Step-by-step explanation:

The value of x is 20 degrees on a straight line if 6x and 3x.

To find the value of x in angle on a straight line when 6x and 3x are given, we need to apply the concept of angles on a straight line.

A straight line forms a straight angle, which measures 180 degrees. When two angles are on a straight line, their sum is equal to 180 degrees. Therefore, we can write the equation:

6x + 3x = 180

Combining like terms, we have:

9x = 180

To isolate x, we divide both sides of the equation by 9:

9x/9 = 180/9

x = 20

Thus, the value of x is 20. We can verify this by substituting x into the given angles:

6x = 6 * 20 = 120 degrees

3x = 3 * 20 = 60 degrees

The sum of these angles is indeed 180 degrees, confirming that x = 20 is the correct solution.

In conclusion, when 6x and 3x are given as angles on a straight line, the value of x is 20.

Consequently, x has a value of 20 degrees.

For more such questions on degrees , Visit:

https://brainly.com/question/29273632

#SPJ11

The 19  tykes  given away by the Shelter, that have room for only 4  tykes  per family.        

The number of different canine families that could be created from the 19  tykes  given away by the  sanctum, we need to calculate the number of combinations. room for only 4  tykes , we need to choose 4  tykes  from the aggregate of 19  tykes . The order of the  tykes  in the family doesn't count, as long as we choose different  tykes  for each family.  The number of combinations can be calculated using the formula for combinations  C( n, r) =  n!/( r!( n- r)!)  Where C( n, r) represents the number of combinations of choosing r  particulars from a set of n  particulars.  In this case, we've n =  19( total number of  tykes ) and r =  4( number of  tykes  per family).  Plugging these values into the formula, we get  C( 19, 4) =  19!/( 4!( 19- 4)!)  Calculating the factorial values  19! =  19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =  ! =  4 × 3 × 2 × 1 =  24  15! =  15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 =   Substituting these values into the formula  C( 19, 4) = /( 24 ×)  ≈ 91,390  The 19  tykes  given away by the  sanctum, considering that you have room for only 4  tykes  per family.

To know more about Shelter.

https://brainly.com/question/26279394

#SPJ11

Answer:

25 kilograms

Step-by-step explanation:

Answer:

the equation 4x - y = 6 can be written in slope-intercept form as y = 6. In this form, the y-intercept is 6, and there is no slope, since there is no x term in the equation.

Step-by-step explanation:

To isolate Y and change the equation into slope-intercept form, we need to move all of the terms containing Y to one side of the equation, and all of the constant terms to the other side. We can do this by adding Y to both sides of the equation.

The original equation is 4x - y = 6. We can isolate Y by adding Y to both sides of the equation, which gives us 4x - y + y = 6 + y. Since Y appears on both sides of the equation, we can cancel it out by subtracting Y from both sides, which gives us 4x - 0 = 6 + y.

We can then rearrange the terms on the right side of the equation to put it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, we can move the 6 to the left side of the equation by subtracting it from both sides, which gives us y = 6 + y. We can then simplify this equation to get y = 6.

Answer:91

Step-by-step explanation:

Answer:

1.76

Step-by-step explanation:

i cant explain ;w;

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

To know more about logarithm visit:

https://brainly.com/question/30085872

#SPJ1

Answer:

Step-by-step explanation:

as (c + 9)(c - 9) = c² - 81

and (c - 9)(c + 6) = c² - 3c - 54

    8(c + 6)        =         8c + 48        

(c² - 81)(c + 6)       (c - 9)(c + 9)(c + 6)

            10c(c + 9)     =     10c² + 90c        

(c² - 3c - 54)(c + 9)       (c - 9)(c + 9)(c + 6)

The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are,

1. 8 / (c² - 81)

2. 10c / (c² - 3c - 54)

Now,

Solve the expressions for the denominator (c- 9) (c+9)(c + 6) as;

1. 8 / (c² - 81) = 8 / (c² - 9²)

                   = 8 / (c + 9) (c - 9)

Thus, 8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c² - (9- 6)c - 54)

                               = 10c / (c² - 9c + 6c - 54)

                               = 10c / [c(c-9) + 6(c - 9)]

                               = 10c / (c + 6) (c - 9)

Thus, 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

Therefore, The equivalent rational expressions with denominator (c- 9) (c+9)(c + 6) are;

1.  8 / (c² - 81) = 8 / (c + 9) (c - 9)

2. 10c / (c² - 3c - 54) = 10c / (c + 6) (c - 9)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

The missing numbers are a = 25 and b = 92.

Let's start by finding the mean of the given numbers. The mean is calculated by summing all the numbers and dividing the sum by the total count. In this case, we have:

(a + 31 + 42 + 65 + b) / 5 = 51

Now, we can simplify the equation:

a + 31 + 42 + 65 + b = 51 x 5

a + 138 + b = 255

Next, we know that the greatest number is 67 more than the least number:

b = a + 67

Now we can substitute this value into the previous equation:

a + 138 + (a + 67) = 255

Combining like terms:

2a + 205 = 255

Subtracting 205 from both sides:

2a = 50

Dividing both sides by 2:

a = 25

Substituting this value back into the equation b = a + 67:

b = 25 + 67

b = 92

Therefore, the missing numbers are a = 25 and b = 92.

To learn more about the system of equations;

brainly.com/question/13729904

#SPJ1

The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

To find the area of each rhombus, we can use the formula for the area of a rhombus:

Area = (diagonal1 × diagonal2) / 2

Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:

Area = (3.5 cm × 5 cm) / 2

Area = 17.5 \(cm^2\) / 2

Area = 8.75 \(cm^2\)

Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

for such more question on area

https://brainly.com/question/15822332

#SPJ8

The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

For more questions related to purchase price

https://brainly.com/question/31225339

#SPJ1

A = 139°

B = 139°

You can see A and B are coefficients of each other, which means they have the same angle because they are opposite each other on the straight line. just like the two 41° angles are.

The angle around a point always add up to 360°, so add the 41° angles.

41 + 41 = 82°

Then minus this by 360°.

360 - 82 = 278°

And to work out one angle, which gives you the angle for both, divide 278 by two.

278 ÷ 2 = 139°

Both A and B have an angle of 139°

Example:

To find the value of two intersecting lines, you need to know the equations of both lines. Then, you can set the equations equal to each other and solve for the variable x. This will give you the x-coordinate of the point where the lines intersect. To find the y-coordinate, you can plug the value of x into either equation and solve for y. For example, if one line is y = 3x - 5 and another line is y = -2x + 7, then you can set 3x - 5 = -2x + 7 and solve for x:

3x - 5 = -2x + 7

5x = 12

x = 12/5

Then, plug x = 12/5 into either equation and solve for y:

y = 3(12/5) - 5

y = 36/5 - 25/5

y = 11/5

Therefore, the point of intersection is (12/5, 11/5).

If one of the lines has a given angle, such as 41 degrees, then you can use trigonometry to find its equation. For example, if one line passes through the origin and has an angle of 41 degrees with the positive x-axis, then you can use the slope formula to find its equation:

slope = tan(41 degrees) ≈ 0.87

y = mx + b

y = 0.87x + 0

Then, you can use the same method as before to find the point of intersection with another line.

_______________________________________________________

The answer is 139 degrees, using the method I gave.

MARK AS BRAINLIEST!!!

Hence, in response to the provided question, we can say that We discard the t = 0.003 solution since time cannot be negative. As a result, the discus takes around 2.375 seconds to strike the ground.

Mathematicians research numbers and their variants, equation and related structures, objects and their locations, and prospective locations for these things. The term "module" is used to describe the connection that exists in between set of inputs, each of which has a corresponding output. A function is an input-output connection in which each inputs results in something like a single, distinct return. A domain, codomain, or scope is assigned to each function. Functions are usually denoted by the letter f. (x). An x is used for entry. On capabilities, one-to-one capabilities, multiple prowess, in capabilities, and on capabilities are the four major types of accessible functions.

The specified function appears to have a typo. I believe it should be:

\(h = -16t^2 + 38t + 5\)

a) The discus's initial height can be calculated by entering t = 0 into the function:

\(h = -16(0)^2 + 38(0) + 5 = 5\)

As a result, the discus's starting height is 5 feet.

\(-16t^2 + 38t + 5 = 0\)

\(t = (-b \sqrt(b2 - 4ac)) /\)

t = 0.003 or 2.375

We discard the t = 0.003 solution since time cannot be negative. As a result, the discus takes around 2.375 seconds to strike the ground.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

First multiply the second ( ) with 3x then multiply it with -2 and add them together So

(3x-2)(5x^2-3x+1)

=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)

=15x^3-9x^2+3x -10x^2+6x-2

=15x^3-19x^2+9x-2

Done!

The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.

To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:

The distance between two points (x1, y1) and (x2, y2) is given by:

AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²

Formula for Area of Triangle: If we know the length of the three sides of a triangle then,

using Heron's formula, we can calculate the area of the triangle as:

area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2

Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.

That is: perimeter = AB + BC + ACArea of ΔABCAB

= √(1 - (-2))² + (5 - (-4))²AB

= √3²+9² = √90BC

= √(2 - 1)² + (2 - 5)²BC

= √1²+3² = √10AC

= √(2 - (-2))² + (2 - (-4))²AC

= √4²+6²

= √52Semi-Perimeter (s)

= (AB + BC + AC)/2

= (√90 + √10 + √52)/2

= 12.8572Area of ΔABC

= √s(s-a)(s-b)(s-c)

= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)

= 23.5

Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174

To learn more about : area

https://brainly.com/question/25292087

#SPJ8

Solving a system of equations we can see that each pound of trail mix costs $3.50, and each pound of jelly beans costs $1.50

Let's define the variables:

Then we can write a system of equations so we will get:

5x + 3y = 22

2x + 12y = 25

To solve this, we can subtract 4 times the first equation fom the second one:

2x + 12y - 4(5x + 3y) = 25 - 4*22

2x + 12y - 20x - 12y = -63

-18x = -63

x = -63/-18

x = 3.5

That is the cost of each pound of trail mix, and replacing that in one of the equations:

2*3.5 + 12y = 25

y = (25 - 2*3.5)/12

y = 1.5

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

The question is incomplete hence, I gave you a similar question that will enable you to understand how to treat Linear Equations with Decimals.

This is best exemplified by the example below:

\(\left\{ \begin{array}{cl}0.2x-0.3y = 1.3 \\0.5x + 0.2y= 2.3\end{array} \right.\)
e

Solution

Step 1 - Remove all decimals by multiplying equation 1 and 2 by 10. This gives us:

\(\left\{ \begin{array}{cl}2x-3y = 13 \\5x + 2y= 23\end{array} \right.\)


Now we have an equation without decimals.

Step 2 - we proceed to solve by elimination.

Assuming:

2x - 3y = 13 ............is  Equation 3; and

5x -2y = 23 ............. is Equation  4;

Lets multiply equation 3 by 2; and equation 4 by 3. This gives us

⇒ 4x - 6y = 26 ...............5

   15 x + 6y = 69..............6


step 3 - Add equation 5 and 6 to eliminate y.

4x - 6y = 26

15 x + 6y = 69
19x = 95

solving for x

= 95/19

x = 5


Step 4 - Substitute x into any of the equations to find the value of Y


Using equation 5, we have:

4x - 6y = 26

⇒ 4(5) - 6y = 26

⇒ 20 - 6y = 26
⇒ -6y = 26-20
⇒ y = 6/-6

∴ y = -1

In summary, x = 5; y = -1


Learn more about Linear systems with decimals at:
https://brainly.com/question/10566339
#SPJ1

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

To learn more about : Gini coefficient

https://brainly.com/question/31445613

#SPJ8