3x β 6 = x + 4 3 x - 6 = x + 4. Move all terms containing x x to the left side of the equation. Tap for more steps... 2xβ6 = 4 2 x - 6 = 4. Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 10 2 x = 10. Divide each term in 2x = 10 2 x = 10 by 2 2 and simplify.The perfect square rule is a technique used to expand expressions that are the sum or difference of two squares, such as (a + b)^2 or (a - b)^2. The rule states that the square β¦Sep 29, 2015 Β· First, subtract 3 from both sides. / Your problem should look like: Second, subtract 6 - 3 to get 3. / Your problem should look like: Third, divide both sides by -3. / Your problem should look like: Fourth, simplify to / Your problem should look like: Fifth, cancel 3. / Your problem should look like: 3x+6=-12 One solution was found : x = -6 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... More Items. Share. Copy. Copied to clipboard. 6x+8-3x>6 . Subtract 3x from both sides. 3x+8>6 . Combine 6x and -3x to get 3x. ...Join Teachoo Black. Example 10 Find the term independent of x in the expansion of (3/2 π₯^2 " β " 1/3π₯)^6,x > 0. Calculating general term We know that general term of expansion (a + b)n is Tr + 1 = nCr (a)nβr. (b)n For general term of expansion (3/2 π₯^2 " β " 1/3π₯)^6 Putting n = 6 , a = 3/2 π₯^2 , b = "β.For the 3 times table worksheet you can choose between three different sorts of exercise. In the first exercise you have to draw a line from the sum to the correct answer. In the second exercise you have to enter the missing number to complete the sum correctly. In the third exercise you have to answer the sums which have been shuffled. standard form, y=3x+6. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down problems ... Function notation is a method of writing algebraic variables as functions of other variables. Most often, functions are portrayed as a set of x/y coordinates, with the vertical y-a...Solve for x 3x-6=2x+3. 3x β 6 = 2x + 3 3 x - 6 = 2 x + 3. Move all terms containing x x to the left side of the equation. Tap for more steps... xβ6 = 3 x - 6 = 3. Move all terms not containing x x to the right side of the equation. Tap for more steps... x = 9 x = 9. Free math problem solver answers your algebra, geometry, trigonometry ...3x+4=x+6. en. Related Symbolab blog posts. High School Math Solutions β Exponential Equation Calculator. Solving exponential equations is pretty straightforward ... Transcript. Ex 7.4, 1 (3π₯^2)/ (π₯^6 + 1) We need to find β«1 (ππ^π)/ (π^π + π) π π Let π^π=π Diff both sides w.r.t. x 3π₯^2=ππ‘/ππ₯ π π=π π/ (ππ^π ) Thus, our equation becomes β«1 (ππ^π)/ (π^π + π) π π =β«1 (3π₯^2)/ ( (π₯^3 )^2 + 1) ππ₯ ...Algebra Graph y=3x-6 y = 3x β 6 y = 3 x - 6 Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3 y-intercept: (0,β6) ( 0, - 6) Any line can β¦Oct 4, 2020 ... Share your videos with friends, family, and the world.Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Nov 2, 2018 ... In this math video lesson on Multi-Step Equations, I solve 18=3(3x-6). #multistepequations #prealgebra #minutemath Every Month we have a new ...3x-6=15 One solution was found : x = 7 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...y = 3x + 6 y = 3 x + 6. Choose a point that the parallel line will pass through. (0,0) ( 0, 0) Use the slope-intercept form to find the slope. Tap for more steps... m = 3 m = 3. To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point - slope formula. Use the slope 3 3 and a given point (0,0) ( 0, 0 ... This will be used to multiply the two linear functions into one quadratic. First, we will multiply the First terms. In this case, the first terms are 3x and 3x. 3x*3x=9x^2. Then we multiply the Outside terms, which are 3x and 6, so 3x*6=18x. After that, we multiply the Inside terms, or 3x and -6 so 3x*-6=-18x and last, we multiply the Last ...Function notation is a method of writing algebraic variables as functions of other variables. Most often, functions are portrayed as a set of x/y coordinates, with the vertical y-a...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Algebra. Find All Complex Solutions x^2+3x-4=6. x2 + 3x β 4 = 6 x 2 + 3 x - 4 = 6. Move all terms to the left side of the equation and simplify. Tap for more steps... x2 + 3xβ10 = 0 x 2 + 3 x - 10 = 0. Use the quadratic formula to find the solutions. βb±βb2 β4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Substitute the values a = 1 a = 1, b = 3 ...limit of (x^2+5x+6)/(x+2) as x approaches -2 take the derivative: cos(x+1)/x derivative of cos(x+1)/(x^2+3) integrate e^x/(e^(2x)+2e^x+1) yβ(x)=y(x)+x+xy(x)+1, y(0)=1 Equation Solving ax^2+bx+c=0 cos(4x) β¦Popular Problems Algebra Solve for x 3x=6 3x = 6 3 x = 6 Divide each term in 3x = 6 3 x = 6 by 3 3. 3x 3 = 6 3 3 x 3 = 6 3 Simplify the left side. Tap for more steps... x = 6 3 x = 6 3 β¦Factor 18x^2+3x-6. 18x2 + 3x β 6 18 x 2 + 3 x - 6. Factor 3 3 out of 18x2 +3xβ6 18 x 2 + 3 x - 6. Tap for more steps... 3(6x2 + xβ2) 3 ( 6 x 2 + x - 2) Factor. Tap for more steps... 3(2xβ1)(3x+2) 3 ( 2 x - 1) ( 3 x + 2) Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions ...Explanation: Since the linear equation is in the form y = mx + b, we know the y-intercept is x = 6. We can find the x-intercept by setting y to 0. 0 = β 3x +6. 3x = 6. x = 2. Answer link. y=6 (y-intercept) x=2 (x-intercept) Since the linear equation is in the form y=mx+b, we know the y-intercept is x=6. We can find the x-intercept by setting ...Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graph.Example (Click to try) x+y=5;x+2y=7 Try it now. Enter your equations separated by a comma in the box, and press Calculate! Or click the example.An example with three indeterminates is x³ + 2xyz² β yz + 1. Quadratic equation. The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of β¦Algebra Calculator - get free step-by-step solutions for your algebra math problemsSimultaneous equation {8x + 2y = 46 7x + 3y = 47 Differentiation dxd (x β 5)(3x2 β 2) Integration β« 01 xeβx2dx Limits xββ3lim x2 + 2x β 3x2 β 9 Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. Simplify (3x-6) (3x+6) (3x β 6) (3x + 6) ( 3 x - 6) ( 3 x + 6) Expand (3xβ6)(3x+ 6) ( 3 x - 6) ( 3 x + 6) using the FOIL Method. Tap for more steps... 3x(3x)+3xβ 6β6(3x)β6β 6 3 x ( 3 x) + 3 x β 6 - 6 ( 3 x) - 6 β 6. Simplify and combine like terms. Tap for more steps... 9x2 β 36 9 x 2 - 36. Free math problem solver answers your ... 3x+6=15 One solution was found : x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...Algebra. Factor -2x^3-4x^2-3x-6. β2x3 β 4x2 β 3x β 6 - 2 x 3 - 4 x 2 - 3 x - 6. Factor β1 - 1 out of β2x3 β 4x2 β3xβ6 - 2 x 3 - 4 x 2 - 3 x - 6. Tap for more steps... β(2x3 +4x2 +3x +6) - ( 2 x 3 + 4 x 2 + 3 x + 6) Factor out the greatest common factor from each group. Tap for more steps... β(2x2 (x+2)+3(x+ 2)) - ( 2 x 2 ...Divide 3, the coefficient of the x term, by 2 to get \frac{3}{2}. Then add the square of \frac{3}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.Algebra. Solve for x natural log of 3x=6. ln (3x) = 6 ln ( 3 x) = 6. To solve for x x, rewrite the equation using properties of logarithms. eln(3x) = e6 e ln ( 3 x) = e 6. Rewrite ln(3x) = 6 ln ( 3 x) = 6 in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b β 1 b β 1, then logb (x) = y log ...How do you solve 3x + 6 = 21 ? x= 5 Explanation: 3x+6 = 21 Following the correct rules in math: Subtract both sides with "-6" to isolate 3x, making the equation looks like this: 3x+6β6 = 21β6 ... 3x+6=15 One solution was found : x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of ... Algebra. Find the Parallel Line y=3x+6 , (4,7) y = 3x + 6 y = 3 x + 6 , (4,7) ( 4, 7) Use the slope-intercept form to find the slope. Tap for more steps... m = 3 m = 3. To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point - slope formula. Use the slope 3 3 and a given point (4,7) ( 4, 7) to ... Multiply 2 times the term inside the parentheses. Then solve for x . Explanation: 2(3x+6) =9 Multiply 2 ... 3x-6=27 One solution was found : x = 11 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...Sep 29, 2015 Β· First, subtract 3 from both sides. / Your problem should look like: Second, subtract 6 - 3 to get 3. / Your problem should look like: Third, divide both sides by -3. / Your problem should look like: Fourth, simplify to / Your problem should look like: Fifth, cancel 3. / Your problem should look like: Safari 4 Beta sprinted from the gate with a claim to being "3x faster than Firefox" at JavaScript rendering. We're calling Apple's ante and updating our browser speed tests with th...limit of (x^2+5x+6)/(x+2) as x approaches -2 take the derivative: cos(x+1)/x derivative of cos(x+1)/(x^2+3) integrate e^x/(e^(2x)+2e^x+1) yβ(x)=y(x)+x+xy(x)+1, y(0)=1 Equation Solving ax^2+bx+c=0 cos(4x) β¦3x+6=-12 One solution was found : x = -6 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... More Items. Share. Copy. Copied to clipboard. 6x+8-3x>6 . Subtract 3x from both sides. 3x+8>6 . Combine 6x and -3x to get 3x. ...Graph f(x)=3x+6. Step 1. Rewrite the function as an equation. Step 2. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Step 2.1. The slope-intercept form is , where is the slope and is the y-intercept. Step 2.2. Find the values of and using the form . Step 2.3.2y +3x = β 6. Subtract 3x from both sides. 2y = β3x β 6. Divide both sides by 2. y = β3x 2 β 6 2 =. y = β 3 2 x β3. The slope, m, is β 3 2 x . Answer link. Write the equation in slope-intercept form: y=mx+b, where m is the slope, and b is the y-intercept. 2y+3x=-6 Subtract 3x from both sides. 2y=-3x-6 Divide both sides by 2. y ...How do you solve 3x + 6 = 5 ? x= β31 Explanation: Step 1) Subtract 6 from each side of the equation to isolate the x term and keep the equation balanced: 3x+6 β6 = 5β6 ... How do I solve 3x + 6 = 9 ? x= 1 Explanation: First of all I will use the shortcuts. After that I will show what is actually happening. This will help in all sorts of ways. Learn a Fact: 3 x 6. Follow steps 1-6 to master this fact. 1 Learn with Pictures. 2 Review to Remember. 3 Understand the Basics. 4 Play a Game. 5 Take a Quiz. 6 More Tips. The derivative of ln(3x) is one over x. The symbol ln is used for a natural log function. The derivative of ln(3x) is expressed as f'(x) equals ln(3x) The expression ln(3x) can be ...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.ETF strategy - DIREXION DAILY FTSE CHINA BULL 3X SHARES - Current price data, news, charts and performance Indices Commodities Currencies Stocks3x+6=15 One solution was found : x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... How do you solve 3x + 6 = 21 ? x= 5 Explanation: 3x+6 = 21 Following the correct rules in math: Subtract both sides with "-6" to isolate 3x, making the equation looks like this: 3x ...x^3 + 3x - 4 = 0 factor x^3 + 3x -4 using polynomial division: x^3 + 3x - 4 step 1: find all factors of the constant term, 4. 1, 2, 4 Try each factor above using the remainder Theorem Substitute ...Choose Topic. Examples ... See explanation. Explanation: To find x interxept of a function you have to substitute 0 for y and solve the equation for x ... 2x+5y=10 Geometric figure: Straight Line Slope = -0.800/2.000 = -0.400 x-intercept = 10/2 = 5 y-intercept = 10/5 = 2 Rearrange: Rearrange the equation by subtracting what is to the ... Dec 11, 2016 ... Visit http://www.3minutemaths.co.uk for quick reminder High School GCSE mathematics videos. This video is all about inverse function and ...To calculate a polynomial, substitute a value for each variable in the polynomial expression and then perform the arithmetic operations to obtain the result. What are monomial, binomial, and trinomial? A monomial is a polynomial with a single term, a binomial is a polynomial with two terms, and a trinomial is a polynomial with three terms.3x+6=15 One solution was found : x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... How do you solve 3x + 6 = 21 ? x= 5 Explanation: 3x+6 = 21 Following the correct rules in math: Subtract both sides with "-6" to isolate 3x, making the equation looks like this: 3x ...Algebra. Find Three Ordered Pair Solutions 3x-2y=6. 3x β 2y = 6 3 x - 2 y = 6. Solve the equation for y y. Tap for more steps... y = β3+ 3x 2 y = - 3 + 3 x 2. Choose any value for x x that is in the domain to plug into the equation. Choose 0 0 β¦Solve Quadratic Equation by Completing The Square. 2.2 Solving x2+3x-6 = 0 by Completing The Square . Add 6 to both side of the equation : x2+3x = 6. Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4. Add 9/4 to both sides of the equation : On the right hand side we have :Rewrite in slope-intercept form. Tap for more steps... y = 2 3x+ 6 y = 2 3 x + 6. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 3 2 3. y-intercept: (0,6) ( 0, 6) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Jul 29, 2016 Β· (x+2)(y+3) xy+2y+3x+6 =y(x+2)+3(x+2) (x+2)(y+3) 8878 views around the world You can reuse this answer Creative Commons License Remove the absolute value term. This creates a Β± Β± on the right side of the equation because |x| = Β±x | x | = Β± x. 3xβ6 = Β±12 3 x - 6 = Β± 12. The complete solution is the result of both the positive and negative portions of the solution. Tap for more steps... x = 6,β2 x = 6, - 2. 6x+7=3x-6 One solution was found : x = -13/3 = -4.333 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... How do you solve 6(x + 3) = 3(x β 6) ? x= β12 Explanation: First multiply out the brackets to get 6x+18 =3xβ18 Now isolate all the x terms on 1 side of the ...This morning Gtmhub, a multinational startup that builds software to help other companies manage their corporate planning, announced that it has raised a $30 million Series B. The ...Aug 11, 2012 ... This video is the answer of the PERT Practice test You can take it by going to this website www.mathtutorinmiami.com/cpttest.html Find the ...Apr 26, 2022 ... In this video we'll draw the graph for y = 3x + 6. You may also see this written as f(x) = 3x + 6. First, we will use a table of values to ...Simplify 3 (x-6) 3(x β 6) 3 ( x - 6) Apply the distributive property. 3x+3β β6 3 x + 3 β - 6. Multiply 3 3 by β6 - 6. 3xβ18 3 x - 18. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The JetBlue Card earns a 5k sign up bonus and 3x points on JetBlue, 2x points on Dining and Grocery Stores, and 1x point on all other purchases! We may be compensated when you clic...Free equations calculator - solve linear, quadratic, polynomial, radical, exponential and logarithmic equations with all the steps. Type in any equation to get the solution, steps and graph.y=3x-6. en. Related Symbolab blog posts. High School Math Solutions β Radical Equation Calculator. Radical equations are equations involving radicals of any order. We will show examples of square roots; higher... Read More. Enter a problem. Cooking Calculators.-15-4x=6-3x One solution was found : x = -21 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Learn a Fact: 3 x 6. Follow steps 1-6 to master this fact. 1 Learn with Pictures. 2 Review to Remember. 3 Understand the Basics. 4 Play a Game. 5 Take a Quiz. 6 More Tips. How do you solve the system by graphing y = 3x+ 6 and y = β2x β4 ? x=-2,y=0 Explanation: Graph both the equations and read the coordinates of the point of intersection as shown in the graph below: The Point of intersection is (-2,0). Hence solution is x=-2, y=0. How do you write the equation of a line that is parallel to 2y = 3x +6 ? y ...6x^{2}+3x+6=0 Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x^{2}+bx=c.6x+7=3x-6 One solution was found : x = -13/3 = -4.333 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... How do you solve 6(x + 3) = 3(x β 6) ? x= β12 Explanation: First multiply out the brackets to get 6x+18 =3xβ18 Now isolate all the x terms on 1 side of the ...x2+3x-6=0 Two solutions were found : x = (-3-β33)/2=-4.372 x = (-3+β33)/2= 1.372 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+3x-6 ... -x2+3x-6=0 Two solutions were found : x = (-3-β-15)/-2= (3+iβ 15 )/2= 1.5000-1.9365i x = (-3+β-15)/-2= (3-iβ 15 )/2= 1.5000+1.9365i Step by step ...Jan 27, 2019 ... To solve an equation like this, we need all the x-terms on one side of the equals sign and all the non-x terms on the other.Examples of mathematical functions include y = x + 2, f(x) = 2x, and y = 3x β 5. Any mathematical statement that relates an input to one output is a mathematical function. In other...Solve an equation, inequality or a system. Example: 2x-1=y,2y+3=x. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0., < > β€: β₯ ^ β: β¬ : : F _ Γ· | (* / β« A: β»: x: y = +-G Algebra. Graph y=3x. y = 3x y = 3 x. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 3 3. y-intercept: (0,0) ( 0, 0) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. How do you solve the system by graphing y = 3x+ 6 and y = β2x β4 ? x=-2,y=0 Explanation: Graph both the equations and read the coordinates of the point of intersection as shown in the graph below: The Point of intersection is (-2,0). Hence solution is x=-2, y=0. How do you write the equation of a line that is parallel to 2y = 3x +6 ? y ...6 \times \arctan \tan \log: 1: 2: 3-\pi: e: x^{\square} 0. \bold{=} + Go. Steps Graph Related Examples. Verify your Answer. Subscribe to verify your answer Subscribe Save to Notebook! ... standard form, y=3x+6. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down ...This morning Gtmhub, a multinational startup that builds software to help other companies manage their corporate planning, announced that it has raised a $30 million Series B. The ...
3x^{2}-3x-6=0 Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x^{2}+bx=c.. Www.liveatc.net
Solve for x 3x-6=18. 3x β 6 = 18 3 x - 6 = 18. Move all terms not containing x x to the right side of the equation. Tap for more steps... 3x = 24 3 x = 24. Divide each term in 3x = 24 3 x = 24 by 3 3 and simplify. Tap for more steps... x = 8 x = 8. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ... Divide 3, the coefficient of the x term, by 2 to get \frac{3}{2}. Then add the square of \frac{3}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.Example: Solve 3xβ6 = 9. Start with: 3xβ6 = 9. Add 6 to both sides: 3x = 9+6. Divide by 3: x = (9+6)/3. Now we have x = something, and a short calculation reveals that x = 5. Like a β¦Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.6x^{2}+3x+6=0 Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x^{2}+bx=c.2x2+3x-6=0 Two solutions were found : x = (-3-β57)/4=-2.637 x = (-3+β57)/4= 1.137 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 3x) - 6 = 0 Step 2 :Trying to ... -x2+3x-6=0 Two solutions were found : x = (-3-β-15)/-2= (3+iβ 15 )/2= 1.5000-1.9365i x = (-3+β-15)/-2= (3-iβ 15 )/2= 1.5000+1.9365i Step by step ...Example: Solve 3xβ6 = 9. Start with: 3xβ6 = 9. Add 6 to both sides: 3x = 9+6. Divide by 3: x = (9+6)/3. Now we have x = something, and a short calculation reveals that x = 5. Like a β¦Function notation is a method of writing algebraic variables as functions of other variables. Most often, functions are portrayed as a set of x/y coordinates, with the vertical y-a...Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.6 \times \arctan \tan \log: 1: 2: 3-\pi: e: x^{\square} 0. \bold{=} + Go. Steps Graph Related Examples. Verify your Answer. Subscribe to verify your answer Subscribe Save to Notebook! ... standard form, y=3x+6. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down ...By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term -6 and q divides the leading coefficient 1. List all candidates \frac{p}{q}.For the 3 times table worksheet you can choose between three different sorts of exercise. In the first exercise you have to draw a line from the sum to the correct answer. In the second exercise you have to enter the missing number to complete the sum correctly. In the third exercise you have to answer the sums which have been shuffled. DPIs have potential to boost India's GDP growth 3x by 2030: Nasscom study Digital Public Infrastructure (DPIs) is a set of common platforms or networks that is used β¦.