2x2 + 7x 4

Popular Problems Algebra Solve by Completing the Square 2x^2+7x-4=0 2x2 + 7x − 4 = 0 2 x 2 + 7 x - 4 = 0 Add 4 4 to both sides of the equation. 2x2 + 7x = 4 2 x 2 + 7 x = 4 Divide each term in 2x2 + 7x = 4 2 x 2 + 7 x = 4 by 2 2 and simplify. Tap for more steps... x2 + 7x 2 = 2 x 2 + 7 x 2 = 2

2x2 + 7x 4. Solved Use the quadratic formula to solve for x. (Enter your | Chegg.com. Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.) 2x2 − 7x − 4 = 0 x =. Question: Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.) 2x2 − 7x − 4 = 0 x =. Use the quadratic formula to ...

Polynomial Roots Calculator : 2.3 Find roots (zeroes) of : F (x) = x3-2x2-7x-4. Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F (x)=0. Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers.

Jul 21, 2023 · Step by step video & image solution for If the roots of the equation 2x^ (2)+7x+4=0 are in the ratio p:q, then the value of sqrt ( (p)/ (q))+sqrt ( (q)/ (p)) by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams. Khareedo DN Pro and dekho sari videos bina kisi ad ki rukaavat ke! f(x) = 2x2 - 7x - 4. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (7 4, - 81 8) Focus: (7 4, - 10) Axis of Symmetry: x = 7 4. Directrix: y = - 41 4. Select a few x values, and plug them into the equation to find the corresponding y values. 2x2-7x-4=0 Two solutions were found : x = -1/2 = -0.500 x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 4 = 0 Step 2 :Trying to factor by splitting the ... How do you find the discriminant for \displaystyle{0.5}{x}^{{2}}-{2}{x}=-{2} and determine the number and type of solutions? Final answer. Transcribed image text: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) s (x) = 8x2 + 1/2x2 + 7x - 4 vertical asymptote x = -4,0 (smaller value) vertical asymptote x = 1/2,0 (larger value) horizontal asymptote y = 4 Find all horizontal and vertical asymptotes (if any). (If an answer ... One of the zeroes of the polynomial 2x² + 7x -4 is a. 2, b. 1/2, c. -1/2, d. -2 - The zeros of a polynomial are the values of x which satisfy the equation y = f(x). One of the zeroes of the polynomial One of the zeroes of the polynomial 2x² + 7x -4 is a. 2, b. 1/2, c. -1/2, d. -2 - The zeros of a polynomial are the values of x which satisfy the equation y = f(x). One of the zeroes of the polynomial

The procedure to use the discriminant calculator is as follows: Step 1: Enter the coefficient values such as “a”, “b” and “c” in the given input fields. Step 2: Now click the button “Solve” to get the output. Step 3: The discriminant value will be displayed in the output field. Solve Quadratic Equation by Completing The Square. 4.2 Solving 2x2-7x-4 = 0 by Completing The Square . Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x2- (7/2)x-2 = 0. Add 2 to both side of the equation : x2- (7/2)x = 2. Now the clever bit: Take the coefficient of x , which is 7/2 , divide by two, giving ... 2x2-7x-4=0 Two solutions were found : x = -1/2 = -0.500 x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 4 = 0 Step 2 :Trying to factor by splitting the ... 2x2-7x-49=0 Two solutions were found : x = -7/2 = -3.500 x = 7 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 49 = 0 Step 2 :Trying to factor by splitting ... -2x2-7x-4=0 Two solutions were found : x = (7-√17)/-4=-0.719 x = (7+√17)/-4=-2.781 Step by step solution : Step 1 :Equation at the end of step 1 : ( (0 ... Simplify: 4- (3 + 1)2 - 6 + 2 + 4 2. Combine like terms: 7x3 + 2x - 5x2 + 6 + x + 9 + 3x3 + 12x2 3. Simplify: (2x5- 3x2 + 4) - (x5 + 2x2+ 7) 4. Multiply: 3x2(4x3 - 2x2 + 7x - 4) 5. Evaluate: 6x2 + 9x - 7, when x = 2 6. Evaluate: 3(x - y)² + 4y - 6x + 2, when x = -1 and y = 3 7. Solve for x: 7x - 5 = 23 8. Solve for y: 7y - 4 + 3y + 6 = 9y + 8 ... 2x2+7x+5=0 Two solutions were found : x = -5/2 = -2.500 x = -1 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 7x) + 5 = 0 Step 2 :Trying to factor by splitting the ... 12x2+7x+1 Final result : (4x + 1) • (3x + 1) Step by step solution : Step 1 :Equation at the end of step 1 : ( (22•3x2) + 7x) + 1 Step 2 :Trying to ... Simplify: 4- (3 + 1)2 - 6 + 2 + 4 2. Combine like terms: 7x3 + 2x - 5x2 + 6 + x + 9 + 3x3 + 12x2 3. Simplify: (2x5- 3x2 + 4) - (x5 + 2x2+ 7) 4. Multiply: 3x2(4x3 - 2x2 + 7x - 4) 5. Evaluate: 6x2 + 9x - 7, when x = 2 6. Evaluate: 3(x - y)² + 4y - 6x + 2, when x = -1 and y = 3 7. Solve for x: 7x - 5 = 23 8. Solve for y: 7y - 4 + 3y + 6 = 9y + 8 ...

Apr 30, 2017 · What are the solutions to 2x2 + 7x = 4? Select all that apply. 1/2 4 -1/2 -4 7 -7. star. 5/5. heart. 17. verified. Verified answer. Solve the equation by factoring 2x ... Popular Problems Algebra Solve by Factoring 2x^2-7x-4=0 2x2 − 7x − 4 = 0 2 x 2 - 7 x - 4 = 0 Factor by grouping. Tap for more steps... (2x+1)(x −4) = 0 ( 2 x + 1) ( x - 4) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 2x+1 = 0 2 x + 1 = 0 x−4 = 0 x - 4 = 0 Popular Problems Algebra Solve by Completing the Square 2x^2+7x-4=0 2x2 + 7x − 4 = 0 2 x 2 + 7 x - 4 = 0 Add 4 4 to both sides of the equation. 2x2 + 7x = 4 2 x 2 + 7 x = 4 Divide each term in 2x2 + 7x = 4 2 x 2 + 7 x = 4 by 2 2 and simplify. Tap for more steps... x2 + 7x 2 = 2 x 2 + 7 x 2 = 2 2x2-7x-30=0 Two solutions were found : x = -5/2 = -2.500 x = 6 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 30 = 0 Step 2 :Trying to factor by splitting ... 2x2-7x+3=0 Two solutions were found : x = 1/2 = 0.500 x = 3 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) + 3 = 0 Step 2 :Trying ... Factor x3 − 2x2 −7x− 4 x 3 - 2 x 2 - 7 x - 4 using the rational roots test. Tap for more steps... Factor x2 − 3x−4 x 2 - 3 x - 4 using the AC method.

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Simplify: 4- (3 + 1)2 - 6 + 2 + 4 2. Combine like terms: 7x3 + 2x - 5x2 + 6 + x + 9 + 3x3 + 12x2 3. Simplify: (2x5- 3x2 + 4) - (x5 + 2x2+ 7) 4. Multiply: 3x2(4x3 - 2x2 + 7x - 4) 5. Evaluate: 6x2 + 9x - 7, when x = 2 6. Evaluate: 3(x - y)² + 4y - 6x + 2, when x = -1 and y = 3 7. Solve for x: 7x - 5 = 23 8. Solve for y: 7y - 4 + 3y + 6 = 9y + 8 ... Popular Problems Algebra Solve by Factoring 2x^2-7x-4=0 2x2 − 7x − 4 = 0 2 x 2 - 7 x - 4 = 0 Factor by grouping. Tap for more steps... (2x+1)(x −4) = 0 ( 2 x + 1) ( x - 4) = 0 If any individual factor on the left side of the equation is equal to 0 0, the entire expression will be equal to 0 0. 2x+1 = 0 2 x + 1 = 0 x−4 = 0 x - 4 = 0 Algebra Examples. Popular Problems. Algebra. Find the x and y Intercepts f (x)=2x^2-7x-4. f (x) = 2x2 − 7x − 4 f ( x) = 2 x 2 - 7 x - 4. Find the x-intercepts. Tap for more steps... x-intercept (s): (−1 2,0),(4,0) ( - 1 2, 0), ( 4, 0) Find the y-intercepts. Algebra. Factor 2x^2-7x+3. 2x2 − 7x + 3 2 x 2 - 7 x + 3. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅3 = 6 a ⋅ c = 2 ⋅ 3 = 6 and whose sum is b = −7 b = - 7. Tap for more steps... 2x2 − 1x−6x+3 2 x 2 - 1 x - 6 x + 3. Factor out the greatest ... Popular Problems Algebra Solve by Completing the Square 2x^2+7x-4=0 2x2 + 7x − 4 = 0 2 x 2 + 7 x - 4 = 0 Add 4 4 to both sides of the equation. 2x2 + 7x = 4 2 x 2 + 7 x = 4 Divide each term in 2x2 + 7x = 4 2 x 2 + 7 x = 4 by 2 2 and simplify. Tap for more steps... x2 + 7x 2 = 2 x 2 + 7 x 2 = 2

How to simplify your expression. To simplify your expression using the Simplify Calculator, type in your expression like 2 (5x+4)-3x. The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own. Similar Problems from Web Search. x2+3x-4 Final result : (x + 4) • (x - 1) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+3x-4 The first term is, x2 its coefficient is ... 2x2+3x-4 Final result : 2x2 + 3x - 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 3x) - 4 Step 2 ... 2x2-7x-49=0 Two solutions were found : x = -7/2 = -3.500 x = 7 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 49 = 0 Step 2 :Trying to factor by splitting ... -2x2-7x-4=0 Two solutions were found : x = (7-√17)/-4=-0.719 x = (7+√17)/-4=-2.781 Step by step solution : Step 1 :Equation at the end of step 1 : ( (0 ... May 29, 2023 · Transcript. Ex 2.3, 4 Factorise: (ii) 2x2 + 7x + 3 2x2 + 7x + 3 We factorize using the splitting the middle term method = 2x2 + 6x + x + 3 = 2x (x + 3) + 1 (x + 3) = (x + 3) (2x+ 1) Next: Ex 2.3, 4 (iii) → Ask a doubt. Chapter 2 Class 9 Polynomials. Serial order wise. Limit Calculator. Step 1: Enter the limit you want to find into the editor or submit the example problem. The Limit Calculator supports find a limit as x approaches any number including infinity. The calculator will use the best method available so try out a lot of different types of problems. You can also get a better visual and understanding ... May 29, 2023 · Transcript. Ex 4.3 ,2 Find the roots of the quadratic equation using quadratic formula (i) 2x2 7x + 3 = 0 2x2 7x + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = 7, c = 3 We know that D = b2 4ac D = ( 7)2 4 2 3 D = ( 7 7) (4 2 3) D = 49 24 D = 25 The roots to equation is given by x = ( )/2 Putting values x = ( ( 7) 25)/ (2 2) x = (7 ... Algebra Factor 2x^2+7x-4 2x2 + 7x − 4 2 x 2 + 7 x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅−4 = −8 a ⋅ c = 2 ⋅ - 4 = - 8 and whose sum is b = 7 b = 7. Tap for more steps... 2x2 − 1x+8x−4 2 x 2 - 1 x + 8 x - 4 May 29, 2023 · Transcript. Ex 4.3 ,2 Find the roots of the quadratic equation using quadratic formula (i) 2x2 7x + 3 = 0 2x2 7x + 3 = 0 Comparing equation with ax2 + bx + c = 0 a = 2, b = 7, c = 3 We know that D = b2 4ac D = ( 7)2 4 2 3 D = ( 7 7) (4 2 3) D = 49 24 D = 25 The roots to equation is given by x = ( )/2 Putting values x = ( ( 7) 25)/ (2 2) x = (7 ... Two numbers r and s sum up to 7 exactly when the average of the two numbers is \frac{1}{2}*7 = \frac{7}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.

the answer is 4−7 41 Explanation: you can't take out so you have to use the quadratic formula. formula: 2a−b b2 − 4ac ... 2x2+7x+5 Final result : (x + 1) • (2x + 5) Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 7x) + 5 Step 2 :Trying to factor by splitting the middle term ... 12x2+7x+1 Final result : (4x + 1 ...

2x2-7x-4=0 Two solutions were found : x = -1/2 = -0.500 x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 4 = 0 Step 2 :Trying to factor by splitting the ... How do you find the discriminant for \displaystyle{0.5}{x}^{{2}}-{2}{x}=-{2} and determine the number and type of solutions? One of the zeroes of the polynomial 2x² + 7x -4 is a. 2, b. 1/2, c. -1/2, d. -2 - The zeros of a polynomial are the values of x which satisfy the equation y = f(x). One of the zeroes of the polynomial Apr 30, 2017 · What are the solutions to 2x2 + 7x = 4? Select all that apply. 1/2 4 -1/2 -4 7 -7. star. 5/5. heart. 17. verified. Verified answer. Solve the equation by factoring 2x ... 3x2+7x+4=0 Two solutions were found : x = -4/3 = -1.333 x = -1 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 + 7x) + 4 = 0 Step 2 :Trying to factor by splitting the ... -3x2+7x+4=0 Two solutions were found : x = (-7-√97)/-6= 2.808 x = (-7+√97)/-6=-0.475 Step by step solution : Step 1 :Equation at the end of step 1 ... May 7, 2022 · The common features of the polynomial function f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 are. Equal y-intercept at (0,6) Same end behavior as x approaches positive infinity; How to determine the common features? The equation of the functions are given as: f(x) = 2x² + 7x + 6. g(x) = 2^x + 5 Mar 19, 2021 · Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 May 29, 2023 · Transcript. Ex 2.3, 4 Factorise: (ii) 2x2 + 7x + 3 2x2 + 7x + 3 We factorize using the splitting the middle term method = 2x2 + 6x + x + 3 = 2x (x + 3) + 1 (x + 3) = (x + 3) (2x+ 1) Next: Ex 2.3, 4 (iii) → Ask a doubt. Chapter 2 Class 9 Polynomials. Serial order wise. Two numbers r and s sum up to 7 exactly when the average of the two numbers is \frac{1}{2}*7 = \frac{7}{2}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C. Apr 4, 2018 · 2 x2 + 7x =4 Step 1: Subtract 4 from both sides. 2 x2 + 7x −4 = 4−4 2 x2 + 7x −4 =0 Step 2: Factor left side of equation. (2x −1) (x+4) =0 Step 3: Set factors equal to 0. 2x −1 = 0 or x +4 =0 x= 12 or x = −4 Answer: x= 12 or x = − 4 Solve Quadratic Equation by Completing The Square. 4.2 Solving 2x2-7x-4 = 0 by Completing The Square . Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x2- (7/2)x-2 = 0. Add 2 to both side of the equation : x2- (7/2)x = 2. Now the clever bit: Take the coefficient of x , which is 7/2 , divide by two, giving ...

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Aug 8, 2017 · The quadratic equations that has real number solutions are 0 = 4x^2 – 3x – 1, 0 = x^2 – 2x – 8 and 2x^2 – 7x – 9. Discriminant. The formula for finding the discriminant is . Any quadratic equation has real number solutions if the discriminant is greater than zero. For the quadratic equation . This equation will have two real number ... Algebra Factor 2x^2+7x-4 2x2 + 7x − 4 2 x 2 + 7 x - 4 For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅−4 = −8 a ⋅ c = 2 ⋅ - 4 = - 8 and whose sum is b = 7 b = 7. Tap for more steps... 2x2 − 1x+8x−4 2 x 2 - 1 x + 8 x - 4 2x2-7x-30=0 Two solutions were found : x = -5/2 = -2.500 x = 6 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 30 = 0 Step 2 :Trying to factor by splitting ... 2x2-7x+3=0 Two solutions were found : x = 1/2 = 0.500 x = 3 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) + 3 = 0 Step 2 :Trying ... Free factor calculator - Factor quadratic equations step-by-step Solve Quadratic Equation by Completing The Square. 4.2 Solving 2x2-7x-4 = 0 by Completing The Square . Divide both sides of the equation by 2 to have 1 as the coefficient of the first term : x2- (7/2)x-2 = 0. Add 2 to both side of the equation : x2- (7/2)x = 2. Now the clever bit: Take the coefficient of x , which is 7/2 , divide by two, giving ... Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result! Algebra Examples. Popular Problems. Algebra. Find the x and y Intercepts f (x)=2x^2-7x-4. f (x) = 2x2 − 7x − 4 f ( x) = 2 x 2 - 7 x - 4. Find the x-intercepts. Tap for more steps... x-intercept (s): (−1 2,0),(4,0) ( - 1 2, 0), ( 4, 0) Find the y-intercepts. May 7, 2022 · The common features of the polynomial function f(x) = 2x² + 7x + 6 and exponential function g(x) = 2^x + 5 are. Equal y-intercept at (0,6) Same end behavior as x approaches positive infinity; How to determine the common features? The equation of the functions are given as: f(x) = 2x² + 7x + 6. g(x) = 2^x + 5 Polynomial Roots Calculator : 2.3 Find roots (zeroes) of : F (x) = x3-2x2-7x-4. Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F (x)=0. Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers. Algebra. Factor 2x^2-7x+3. 2x2 − 7x + 3 2 x 2 - 7 x + 3. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 2⋅3 = 6 a ⋅ c = 2 ⋅ 3 = 6 and whose sum is b = −7 b = - 7. Tap for more steps... 2x2 − 1x−6x+3 2 x 2 - 1 x - 6 x + 3. Factor out the greatest ... ….

Step 1: Write down the coefficients of 2x2 +3x+4 into the division table. 2 3 4. Step 2: Change the sign of a number in the divisor and write it on the left side. In this case, the divisor is x −2 so we have to change −2 to 2. 2 2 3 4. Step 3: Carry down the leading coefficient. 2 2 2 3 4. Step 4: Multiply carry-down by left term and put ... Solve Solve for x x = −4 x = 21 = 0.5 Steps Using Factoring By Grouping Steps Using the Quadratic Formula Steps for Completing the Square View solution steps Graph Graph Both Sides in 2D Graph in 2D Quiz Polynomial 2x2 +7x = 4 Similar Problems from Web Search How do you solve 2x2 + 7x = 5 ? Study with Quizlet and memorize flashcards containing terms like Describe the first step when factoring any polynomial. Why is this the first step? Explain., Determine the GCF for each of the polynomials. 2x3 - 7x2 + 3x The GCF is ___. 33x4 - 22 The GCF is ___. 24x5 - 56x3 + 16x The GCF is ___., Which polynomials are prime? Check all that apply. 2x2+ 7x + 1 5x2 - 10x + 5 3x2 + 8 4x2 - 25 x2 ... 2x2-7x-30=0 Two solutions were found : x = -5/2 = -2.500 x = 6 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 30 = 0 Step 2 :Trying to factor by splitting ... 2x2-7x+3=0 Two solutions were found : x = 1/2 = 0.500 x = 3 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) + 3 = 0 Step 2 :Trying ... Mar 19, 2021 · Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 May 29, 2023 · Transcript. Ex 2.3, 4 Factorise: (ii) 2x2 + 7x + 3 2x2 + 7x + 3 We factorize using the splitting the middle term method = 2x2 + 6x + x + 3 = 2x (x + 3) + 1 (x + 3) = (x + 3) (2x+ 1) Next: Ex 2.3, 4 (iii) → Ask a doubt. Chapter 2 Class 9 Polynomials. Serial order wise. Algebra. Find the Roots (Zeros) y=2x^2-7x-4. y = 2x2 - 7x - 4. Set 2x2 - 7x - 4 equal to 0. 2x2 - 7x - 4 = 0. Solve for x. Tap for more steps... x = - 1 2, 4. Solved Use the quadratic formula to solve for x. (Enter your | Chegg.com. Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.) 2x2 − 7x − 4 = 0 x =. Question: Use the quadratic formula to solve for x. (Enter your answers as a comma-separated list.) 2x2 − 7x − 4 = 0 x =. Use the quadratic formula to ... 2x2-7x-4=0 Two solutions were found : x = -1/2 = -0.500 x = 4 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 7x) - 4 = 0 Step 2 :Trying to factor by splitting the ... 2x2 + 7x 4, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]