Math Contest When n is divided by 4, the remainder is 3. When 6n is divided by 4, the remainder is A 1 в 2 C 3 DO Math Contest The sum of the roots of (x + 4x + 3)(x² + 3x – 10) - (8х* - 8х— 16) %3D 0 is A -7 В -6 с 6 D 8

Q: A student checked whether d= -2 is a solution of -3d+(-4)=2, as shown. Describe and correct the…

A:

Q: How many solutions does 5 - 2x= 4 – 2x+ 4 + xhave? O A. No solutions B. Infinitely many solutions O…

A: Given that        5-2x = 4-2x+4+x Here we have to find how many solutions have exist.

Q: 5. The diagonal of a box is given by the formula d = \Ľ +W² + H? , where L is the length, W is the…

A:

Q: A milling company wants to mix alfalfa, which contain 20% protein, and wheat mids,t which contain…

A: a) As each pound of alfalfa has 20% of protein and each pound of wheat has 15% of protein thus…

Q: Solve. 3r + 18 5r - 45 12 The solution set is { }. (Type an integer or a simplified fraction.)

A: First we will cross multiply the given fraction. 3r+1812=5r-4555(3r+18)=12(5r-45)15r+90=60r-540

Q: 5. The length of a rectangle is 9 inches longer than the rectangle's width. The area of the…

A: Given:   The length of a rectangle is 9 inches longer than the rectangle's width. The area of the…

Q: 14. What is the first step in solving this equation, a + 10a + 21O by completing the square? A. Set…

A: 18.x2-6x-41=024.What was the nature of the roots if the value of the discriminant is zero.25.Which…

Q: 12. a. Write an equation representing the fact that the product of two consecutive odd integers is…

A:

Q: ind the values of a,b and c for which the quadratic equation ax^2 +bd+c=0 has the solution-5 and 3.…

A: Given, The quadratic equation ax2+bx+c=0 has the solution -5 and 3. Since, -5 and 3 are the…

Q: 12. The volume of a box is V(x) = (2x3 + 7x2 + 3x) cubic centimeters. Which of the following…

A: We can solve the problem by help of q. no 12

Q: n. Given that (1+x) 1+ax - bx? + Find the values of a and b 2 1 + ax - -bx² + Find the values of a…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: 3x' + 5x? + 7x + 2 = 0 13. List (do not solve) the possible zeros of List

A: Given equation is cubic equation                        3x3 +5x2+7x+2=0..............(i) has it has…

Q: 16. The equation a + b² + c² = 2020 has a solution in positive integers a, b, and cin which a is a…

A: Given that a5+b2+c2=2000 has a solution in a positive integer a, b, c where a is a factor of c.…

Q: 4. The equation x3 + 5x2 - 4x-20 = 0 has x = 2 as one of its solutions. What is the product of the…

A: We have to find roots

Q: Consider the equation: x^2 + 7x = 8 A) First, use the "completing the square" process to write this…

A: Consider the given quadratic equation: x2+7x=8 Here, the objective is to first express the given…

Q: one bus Complete the table by evaluating expression for the values of z. 1 6 11 128-3z 5 xplain how…

A: We have to find value of z

Q: Refer to the equation below, and solve for n by factoring. Enter the smallest value for n in the…

A:

Q: 3. Can a perfect square leave a remainder of 3 when divided by 7? Justify your answer.

A: consider m be an integer. If a  divides m  then it can be written as a|m

Q: Use the data in the table to solve #46-50: below) HINT: add extra columns to your table! X Y -2 3 3…

A:

Q: An envelope is 4 cm longer than it is wide. The area is 96 cm2.  Find the length & width.

A:

Q: A fence is to be installed around a rectangular field. The​ field's perimeter is 224 feet. Find the…

A: A fence is to be installed around a rectangular field. The​ field's perimeter is 224feet. Find the…

Q: 1. Which equations are equivalent to x2 -8x +4 = 0 ? Choose ALL that are correct. A 2-8x = 64 B. 2…

A: Explanation of the answer is as follows

Q: D. a= --28b 16. The larger of two numbers is 15 more than three times the smaller number. If the sum…

A:

Q: Ifequation (a2 + 2)2 - (b + 4)(a + 3a2 + 2) + (b+3)(a2 + 1)2 0 has atleast one real solution, then…

A: Any quadratic polynomial Ax2+Bx+c=0 has real solution if B2-4AC ≥ 0

Q: How do I know what variable to solve for? supe Inniglo 1. Is there a variable already by itself on…

A:

Q: K.V Juve a yueur auL equauu uy Lumpreuy ue square H Solve by completing the square. R+ 26f= -19…

A: To solve the given equation by completing the squares.

Q: The sum of 4 and the product of 5 and x is equal to 5 less than the product of 2 and x. What is the…

A: Solution: The mathematical expression for the statement "The sum of 4 and the product of 5 and x is…

Q: 3.2x²-53.4x = 0.015 x3-43 does equation have aber? Explain that is mum

A: Given equation is  3.2x^6-53.4x=0.015x^3-43

Q: . Dividing 2x3+ 4x2 -kx+5by (x-3) and 6y3-3y2+2y+7by(y+1)leads to the same remainder. Find the value…

A: When p(x) is divided by x-a , then remainder is p(a) .

Q: 5) The cquation x = /3x + 4 has A) 4 and -1 as solutions B) no solutions C) 4 as its only solution…

A:

Q: Using factoring, what are the solutions to the equation 2x2 + 2.x 24 0 ? O T = -3 or x 4 O x = -1 or…

A: Given that by using the factoring we need to solve the equation  2x2 + 2x - 24 = 0  for  value of x.…

Q: 2. Pythagorean Theorem states that, "In a right triangle, the square of the hypotenuse is equal to…

A:

Q: 2. Error Analysis Jane is solving the equation 3x² + 4x = 4 using the Zero Product Property.…

A:

Q: Solve what is asked 1. Find the sum of (2c + 3) and (6c-8). 2. Add (6 - d2 + 5d) and (-5d + 9-7d2).…

A: Note: According to our company guidelines only first three sub parts are to be answered.kindly…

Q: Use the data in the table to solve #46-50 below) HINT: add extra columns to your table! Y -2 3 3 7 1…

A: We have to calculate Σx.Σy  Where Σx represents summation of x values And Σy represents summation of…

Q: ( 5+3X-X 55-₁) 1+√ X²-3X-1 2+√√x²-3x-1 + 9 are the solution of this equation 9 2,ß Find 2² +4² 2…

A: Solution of given question is written in below steps.

Q: The square of one integer is 55 less than the square of the next consecutive integer. Find the…

A: Let, The first integer be x. Second consecutive is x+1

Q: 26. Which equation has a solution of k = 6.53 %3D A. -3k = 19.5 B. -1 + k = 7.5 C. -7k = -45.5 D. -2…

A:

Q: (a) Write an equation representing the fact that the product of two consecutive even integers is 24.…

A:

Q: c) The sides of a triangle are x cm, (x - 5) cm and (x + 3) cm long. If the perimeter is 25 cm, find…

A:

Q: Solve: 1 < 4x - 4 < 4 The answer has form: A < ¢ < B Where A and B =

A:

Q: (13) Solve the following equations: (a) (6x-1) +7(6x-1)- 18 = 0

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: A milling company wants to mix alfalfa, which contain 20% protein, and wheat mids,t which contain…

A:

Q: Use the data in the table to solve #46-50: below) HINT: add extra columns to your table! Y -2 3 3 7…

A: Given data is  X Y 0 -2 3 3 5 0 7 1

Q: he PDNF of the PCNF (p V q V r) - the PCNF and PDNF of (-p →r

A: In this question, the concept of PDNF and PCNF is applied. PDNF and PCNF PDNF stands for Principal…

Q: 14. What is the first step in solving this equation, a + 10a + 21 - O by completing the square? A.…

A:

Q: Use the data in the table to solve #46-50: below) HINT: add extra columns to your table! Y -2 3 7.…

A: We have given table,  X Y 0 -2 3 3 5 0 7 1

Q: 7(x-4) 14(x-1) 3 What is the solution to the equation? O16 Or-8 8. Or16

A:

Q: The cost of producing x units of a product is $2 per unit plus $2,000 in flat production costs. If…

A:

Q: 53. A student states that the solution of x² = -9 is x = Ø. Explain why this is an incorrect…

A: 53. The solution of  x2=-9 is x=∅. Explanation: Obtain the solution as follows. x2=-9x=-9x=±3i That…