b) How many miles are there between two cities, if the distance is represented by a 4.2 inch line on a map having a scale of 1 inch to 38 miles? c) |3x – 5| = |-7 – 8x|| d) x² + 4x – 21, using factoring

Q: Find the value of k such that x − 4 is a factor of x3 − kx2 + 2kx − 8.

A: Here we have to find the value of k,  It is given that,  x − 4 is a factor of f(x)= x3 − kx2 + 2kx −…

Q: Using the rational root theorem for the polynominl a" – 2r² + 2 – 12,

A:

Q: 13 is divided by T(1) x + 4? If there is a remainder, express the result in the form q(x) + What is…

A: Here r(x) denote the remainder and b(x) = x+4 when we divide this then we get remainder to get…

Q: 6. Find the value of k if (x + 2) is a factor of x + 4x2 + x + k

A:

Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

A:

Q: b. Write a division equation that represents the question: howimanys are in 2?

A: In order to represent the given equation let there are x 3/8 s in 2

Q: How many inflection points can a: (a) quadratic polynomial have? (b) cubic polynomial have? (c)…

A: fx be a qudratic polynomial .⇒f''x=constant xtherefore a quadratic polynomial never has any…

Q: x² + 5x – 36 is:

A: Given- x2+5x-36 To find its one of the factor. Given equation is quadratic equation whose roots can…

Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

A: In the given question, it is required to use Intermediate Value Theorem and Rolle’s Theorem.

Q: Factor 16p – 81q? O (4p + 9q) (4p – 9q) - (4p + 9q)? O (16p – 9q) (p – 9q) (4p – 9q)2

A: Factor  16p2-81q2

Q: Determine if x-2 is a factor of 3x - 5x2 + x + 8. Explain your response. Format - Font - Size BIUS…

A: let the given polynomial is p(x)= 3x3-5x2+x+8we need to determine   x-2 is factor or not

Q: Factor completely over the real numbers. 21. f(x)=5x' +19x² +16x–4

A:

Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

A:

Q: Factor 16p – 81q? (4р + 9q) (4р —9q) (4p+ 9q)² 0 (16p – 9q) (p – 9q) 9q) (р - 9д) - 2 (4p – 99)

A:

Q: 6. The Special Factoring Formula for a “perfect square" is So x? + 10x + 25 A? + 2AB + B² = factors…

A: To find the special factoring formula for a ''perfect square'' A2 + 2AB + B2.  Also, to factorise…

Q: 3. Find all values of k so that the trinomial is a perfect square. /2A] 9x? + kx + 16

A: Solving above problem.

Q: I. Find the value of k so that the remainder in each division problem is (a) 21. (2x³ + 3x² + kx-2)…

A:

Q: The Special Factoring Formula for a “perfect square” isA2  2AB  B2  . So x2  10x  25factors as…

A:

Q: Cylinder A has a radius of 5mm and a height of 25mm. Cylinder B has a radius of 25mm and a height of…

A: Given: For Cylinder A:  r = 5mm , h = 25mm For Cylinder B:  r = 25mm , h = 125mm   NOTE: Surface…

Q: Find m so that x+5 is a factor of 5x3+29x2+mx+20

A: Let f(x)=5x^3 + 29x^2 +mx+20 , if (x+5) is a factor of f(x) then by factor theorem f(-5)=0

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0

A: Given, The quadratic equation  5x2 +6x-2 = 0   We have to use the discriminant to find number and…

Q: 1. Find the length of an arc that subtends a central angle of 45° in a circle of radius 10 m? 2.…

A: The arc subtends a central angle of 45 degrees in a circle having radius 10 m. If s be the length of…

Q: Find k so that 4x + 3 is a factor of 20x3 + 23x2 - 10x + k.

A: If 4x+3 is a factor, then on plugging -34 for x in the given expression, the result is 0.

Q: he area of a square is defined by, A(x) = x2 - 8x + 16. What is the length of a side of the square?…

A: we have to find

Q: 11. Use the Pythagorean Theorem to find x* 8 7.

A:

Q: When using the FOIL method to find (x + 7)(3x + 5),the product of the first terms is_________ , the…

A: FOIL stands for First Outer Inner Last

Q: Consider the remainders when dividing by 12. Which of them will be included in the group of…

A: We need to consider the remainders when dividing by 12.  The answer -> Multiple Solutions are…

Q: 1. Using a factor table, Find the solution set for 2x - 1<

A:

Q: If f(x) = 3x2 + βx + 4 and f(−1) = 12, what is the value of β? Show that If 2 is a root of  kx4 -…

A: Given  f(x) = 3x2 +βx + 4 f(-1) = 12 β = ? f(-1) = 3(-1)2 + β(-1) +4 = 12            3(1) -β +4 = 12…

Q: How do you factor and solve for x in 0 = 16x^3 - 36x^2 + 24x -4?

A:

Q: Find m so that x+4 is a factor of 5x^3 +18x^2+mx+16

A:

Q: The degree of precision of a quadrature formula whose error term is: 1s

A: The degree of precision of a quadrature formula is n if and only if the error is zero for all…

Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

A:

Q: What is the value of k so that x -xy + is a perfect square trinomial? k

A: Given that, the given polynomial is x2-xy2+y4k, Compare the polynomial x2-xy2+y4k with the general…

Q: If a polynomial a degree of 3, P(x), has a root of multiplicity 2 at x=2, and a root of multiplicity…

A:

Q: Find m so that x + 4 is a factor of 5x3 + 18x2 + mx+ 16

A:

Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

A: Given,

Q: The degree of precision of a quadrature formula whose error term is : f(3) (5) is O 1 O 2 O 3 4

A:

Q: Find all solutions for x in [0,2pi) 3cosx+4sinxcosx=0 (How do you factor this. . . lol)

A:

Q: The degree of precision of a quadrature formula whose error term is : f(2) (5) is O 4 O 3 O 2 O 1

A: Using the definition of degree of precision,

Q: In Exercises 9 to 16, factor each trinomial product. 9. x + 7x + 12 10. x - 9x + 14 11. x + 5xr 24…

A: Note: According to the guidelines only three subparts will be answered please upload other parts…

Q: One or more solutions of a polynomial equation are given. Use synthetic division to find any…

A: Given equation is Since x=3 is solution of given equation , therefore dividing the equation by x-3…

Q: 6. The sum of the ages of Gusion and Lesley is 42. Four years ago, Gusion was twice as old as…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The degree of precision of a quadrature formula whose error term is : f(2) (5) is 4 O 1 3.

A:

Q: The expressions x^3-4x^2+6 and x^3-3x^2+2x+k have a common factor. Find the possible values of k.

A: Given: The expression x3-4x2+6 and x3-3x2+2x+k have a common factor. To find: Possible values of k.

Q: When using the FOIL method to find (x + 7)(3x + 5), the product of the first terms is outside terms…

A: To find the product x+73x+5 using FOIL method.

Q: 2 Use the rid belowte draw AMBC and enlerge it by a factor of 3 about the point L1) A-(2, 2) B-(S,…

A:

Q: 3. State the possible degree of each functio sign of the leading coefficient, and the n of turning…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use Gramer Rale to Find ,2 -2x + 33-Z-1 X+23-2-4 -2x -y+7=-3

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.