Two numbers when multiplied equals 28. If one number is x and the other number is greater than x by 3 a)      Represent the information given in equation form b)      Express as a quadratic equation c)      Solve the quadratic equation to find possible values for x d)      If told that the two numbers were positive, give the values of the two original numbers.

Q: Solve for x, and x2. 4 2 X1 4 17 6 5 X2 5 8 X, =O x2 =0 (Simplify vour answers. Type integers or…

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Q: Between what two consecutive integers must the solution to 3^x=60 lie?   When 3^x=60, x must be…

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Q: 2 X-10° R 2)

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Q: solve the equation 2cos(x+   7π/4)=√3 giving the exact solution which lie in [0,2π)

A: Divide by 2.

Q: A piggy bank was filled with only quarters ($0.25) and nickels ($0.05). If there was exactly 51…

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Q: 10 Solve algebraically, giving answers in terms of x: 4cos? 0 =1 %3D

A: As per guideline we have to solve one question

Q: AS/TRLDI 50. In the equation 3x2 + ax – 2 = 0, the sum of the roots equals twice the product of the…

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Q: How many solutions are there to the equation x_1 + x_2 + x_3 = 25, where x_1 >= 1, x_2 >= 2,…

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Q: Will these equations have the same solution? Choose true for yes, and false for no. 5 (x + 1) = 20…

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Q: Use the meaning of cube roots to find an exact solution to the equation v*+ 2 =' --2 without using a…

A: The given equation is . The solution can be found by cubing both sides.

Q: No 20 and No 24. answer and derive, please give the complete solution

A: Topic:-  application of derivatives and chain rule

Q: Show that the two equations above reduce to 6x² - 43x+84 = 0 when perimeter = 12 and area = 7. Does…

A: Here we solve the second degree equation.

Q: from the nearest point B, 6 miles from A along the shore, in the shortest time. Where should he land…

A: Let x be the distance between shore and point at which the man lands. To reach point B , the…

Q: How do i solve number 21 on this attachment

A: To find the solution of the provided function:

Q: 16 22 The length of the unknown side has to be greater than and less than

A: In triangle length of any side must be Greater than difference of other two side and must be less…

Q: Suppose you are standing such that a 30-foot tree is directly between you and the sun. If you are 5…

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Q: The value of x such that 8x + 4, 6x – 2, 2x+7 will be consecutive terms in an AP is

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Q: If x is the first of two consecutive odd integers, and the sum of the two integers is 72, what is…

A: We can solve this problem as below

Q: Complete

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Q: Prove the equations = 4 and x= 4(x-2) x+2 are equivalent. Explain why or why not.

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Q: [1 2 [6 3 91 9 1 1 5x 8 2] [4 7 31 1. 5 7 [9 0 1

A: topic - multiplication of matrices

Q: Without changing the signs of the problems A. Solve -4- -6 using colored chips B. Solve -4- -6 using…

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Q: 4. Use the diagram to solve for x and y. Leave answers in simplest radical form. 450 X = y=ー

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Q: Use the method of completing the square to solve ax2 + bx + c = 0 for x, where a, b, and c are real…

A: Given:  ax2+bx+c=0 Now for reducing the coefficient of x2 to 1 Divide the above equation by "a" we…

Q: 19. Find the exact solutions and simplify as much as possible: 2x2 + 9 = 12x. Show work.

A: Given equation:

Q: *There are two solutions to the equation (x – 1)3 – 9 = 0. Find both and enter them below as whole…

A: we can solve for x.

Q: In order for the equation 5(2x+ ? ) =9x+15+x to have infinitely many solutions, which number goes in…

A: Given equation is : 5(2x+ ? ) =9x+15+x

Q: 4. y = xcoSx

A: First we take log both sides and then differentiate both sides with respect to x.

Q: yA 8- -4 -2 4. 4- -8-

A: Zeroes of the grqph -3,-1,2

Q: 1 ne - T zdyaxdz = 1-x 6 |

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Q: Solve for the variables in each special trian 9. 10 45 2V2

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Q: 27. Find the exact solutions and simplify as much as possible: 3x = 6x + 2. Show work.

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Q: In any trapezoid, the sum of the squares on the diagonals is equal to the sum of the squares on the…

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Q: b= %3D 2

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Q: What values of the variable cannot be possible for this given soulution, without solving 8 over…

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Q: 18. If AXYZARST, find a and b. 48 Re Sb-3 62 701 4a-4 Solve for a: Solve for b

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Q: 1. The sum of two nonnegative numbers is 20. Find the numbers if the product of the square of one…

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Q: To solve the quadratic equation z² – 4x – 2 = 2, we can graph these two equations Y1 = a? – 4x – 2…

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Q: c)If ASFC-AM/Y, solve for I. 16 22.4 36

A: We have given ∆SFC is similar to ∆AFY it means AYSC=FAFSFA=16AY=x+6FS=FA+AS=16+22.4=38.4SC=36

Q: How many solutions are there to ax + b = 0 with a 0?

A: Given  ax+b=0   ;  a≠0

Q: If A = 30e/3, B = 102 – 40°, C = 16.46 + 0Oi, solve for A + B + C. %3D

A: The complex number, z=x+iy can also be written as z=reiθ , where, r=x2+y2 , θ=tan-1yx . The…

Q: If AC = 8x – 14 and EC = 2r + 11, solve for x. - В A E C D

A: To find value of x AC=8x-14EC=2x+11

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 whereas the…

A: See the attachment

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

Q: Match the justification to each step of the algebraic proof to solve the equation: 7 - (3x + 1) = 2x…

A: Given equation is : 7-3x+1=2x-4

Q: Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a…

A: Introduction :--

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.