Answer Math Problems | Help With Math Problems - Math Only Math
Có thể bạn quan tâm
All grade answer math problems are solved here from different topics. A large number of objective answer math problems are solved here to help the students quickly to test their knowledge and skills on different topics.
1. Simplify: (4x2 - 2x) - (-5x2 - 8x). Solution: (4x2 - 2x) - (-5x2 - 8x) = 4x2 - 2x + 5x2 + 8x. = 4x2 + 5x2 - 2x + 8x. = 9x2 + 6x. = 3x(3x + 2). Answer: 3x(3x + 2) 2. Simplify: (-7x2 - 3x) - (4x2 - x) Solution: (-7x2 - 3x) - (4x2 - x) = -7x2 - 3x - 4x2 + x = -7x2 - 4x2 - 3x + x = -11x2 – 2x = -x(11x + 2) Answer: -x(11x + 2) 3. Simplify: (-5x2 - 8x + 7) - (5x2 - 4) Solution: (-5x2 - 8x + 7) - (5x2 - 4) = -5x2 - 8x + 7 - 5x2 + 4 = -5x2 - 5x2 - 8x + 7 + 4 = -10x2 – 8x + 11 Answer: -10x2 – 8x + 11 4. Simplify: (4x2 + 5x) + (x2 - 5x + 1) Solution: (4x2 + 5x) + (x2 - 5x + 1) = 4x2 + 5x + x2 - 5x + 1 = 4x2 + x2+ 5x - 5x + 1 = 5x2 + 0 + 1 = 5x2 + 1 Answer: 5x2 + 1 5. Simplify: (-6x + 3) - (-x2 + 5x) Solution: (-6x + 3) - (-x2 + 5x) = -6x + 3 + x2 - 5x = -6x - 5x + x2 + 3 = x2 – 11x + 3 Answer: x2 – 11x + 3 6. Simplify: (-9x - 5) - (-9x2 + x - 5) Solution: (-9x - 5) - (-9x2 + x - 5) = -9x - 5 + 9x2 - x + 5 = 9x2 - 9x – x – 5 + 5 = 9x2 – 10x = x(9x – 10) Answer: x(9x – 10)7. Simplify: (2x - 4) - (6x + 6) Solution: (2x - 4) - (6x + 6) = 2x - 4 - 6x – 6 = 2x – 6x – 4 – 6 = -4x – 10 = -2(2x + 5) Answer: -2(2x + 5)8. Simplify:(8+4x)/4x Solution: (8+4x)/4x = 4(2 + x)/4x [Cancel 4 from the numerator and denominator] = (2 + x)/x Answer: (2 + x)/x9. Decide whether the lines are parallel, perpendicular or neither. x + 4y = 7 and 4x – y = 3 Solution: x + 4y = 7 4y = -x + 7 y = (-1/4) x + 7 Slope of the equation x + 4y = 7 is -1/4. Again, 4x – y = 3 y = 4x – 3 Slope of the equation 4x – y = 3 is 4. Since multiplying both the slope of the equation = -1/4 × 4 = -1 Therefore, the given two equations are perpendicular to each other. Answer: Perpendicular 10. Simplify: 3x – 5 + 23x – 9 Solution: 3x – 5 + 23x – 9 = 3x + 23x – 5 – 9 = 26x – 14 = 2(13x – 7) Answer: 2(13x – 7)
11. Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 (a) One real root (a double root), (b) Two distinct real roots, (c) Three real roots, (d) None (two imaginary roots) Solution: Discriminant = bx2 – 4ac Compare the above equation 3x2 – 5x + 1 =0 with ax2 + bx + c = 0 We get, a = 3, b = -5, c = 1 Put the value of a, b and c; Discriminant = bx2 – 4ac Discriminant = (-5)2 - 4 × 3 × 1 = 25 – 12 = 13 [13 > 0] Therefore, discriminant is positive. So the given equation has two distinct real roots. Answer: (b) 12. Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0. (a) One real root (a double root),(b) Two distinct real roots,(c) Three real roots, (d) None (two imaginary roots) Solution: Discriminant = b2 – 4ac Compare the above equation 7x2 + 3x + 1 =0 with ax2 + bx + c = 0 We get, a = 7, b = 3, c = 1 Put the value of a, b and c; Discriminant = b2 – 4ac Discriminant = (3)2 - 4 × 7 × 1 = 9 – 28 = -19 [13 < 0] Therefore, discriminant is negative. So the given equation has none (two imaginary roots). Answer: (d)13. Fill in the blank: (a) The point with coordinates (0,0) is called ........of a rectangular coordinate system. (b) To find the x-intercept of a line, we let....equal 0 and solve for ......; to find y-intercept, we let ......equal 0 and solve for....... Solution: (a) The point with coordinates (0,0) is called origin of a rectangular coordinate system. (b) To find the x-intercept of a line, we let y equal 0 and solve for x ; to find y-intercept, we let x equal 0 and solve for y .
14. Name the quadrant, if any, in which each point is located. (a) (1, 6) (b) (-4, -2) Solution: (a) (1, 6) --------- I Quadrant. (b) (-4, -2) --------- III Quadrant. If students have any queries understanding the questions and answers given in the answer math problems, please fill-up the below comment box to convey your message, so that we can help you.
● Math Questions Answers ● Help with Math Problems ● Answer Math Problems ● Math Problem Solver ● Math Unsolved Questions ● Math Questions ● Math Word Problems ● Word Problems on Speed Distance Time ● Algebra Word Problems – Money
Math Problem Answers Index From Answer Math Problems to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.Share this page: What’s this?
FacebookXPinterestWhatsAppMessengerTừ khóa » F(x)=x^3-6x^2+9x+5 G(x)=-x^2+7x-3
-
Using The Remainder Theorem, Find The Remainder, When P(x) Is ...
-
Solve Simplificationorothersimpleresults (9x^5-7x^2+5x-3)+(2x^4+4x ...
-
Solve Approximation X^3-6x^2+9x-5=0 Tiger Algebra Solver
-
Online Partial Fraction Decomposition Calculator - Wolfram|Alpha
-
[PDF] 1. Factor 3x2 + 6x If Possible. - 11. Factoring And Solving Equations
-
[PDF] 3.2 The Factor Theorem And The Remainder Theorem
-
Finding Inverse Functions (article) - Khan Academy
-
[PDF] ASSET_2_Solutions.pdf
-
How To Solve Polynomial Equations
-
[PDF] Rules For Finding Derivatives
-
[PDF] Topic #1: Evaluating And Simplifying Algebraic Expressions
-
[PDF] SOLUTIONS TO EXAM 1, MATH 10550 1. Compute Lim X2
-
Answers To Exercises