A) The length of a standard-sized rectangular rug is 2 feet longer than the widt the width. Which of the following quadratic inequalities indicates that the area than 80 square feet? (1 point) z (z + 2) > 80 z (z + 2) > 80 a (x- 2) 2 80 a (x - 2) > 80

Q: 2. Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite…

A: since you have asked multiple questions in single request so we will be answering only first…

Q: The solution set of the 2x² - 9x - 5 = 0 is – %3D

A: Given,          2x2-9x-5=0

Q: What is the value of the discriminant for this quadratic: 2x -12x + 8 = y O 80 O 40 -208

A:

Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: 9. A Manufacturer plans to produce a one-compartment vertical file by folding the long side of 10-in…

A: Given that the dimensions of the plastic sheet = 10-in x 18-in.

Q: Questlon Use the discriminant to determine the number of real solutions for the quadratic equation.…

A: we have find the real solutions of the given quadratic equation

Q: A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side…

A:

Q: 1. Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

A: A quadratic equation is defined as ax2+bx+c=0 where a≠0, here a,b,c are arbitrary constants. Domain…

Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x +…

A: Area

Q: How do I find the vertex and the zeros of f(x) = x2 - 4x +13

A: Given that , fx=x2-4x+13 find vertex and zeros of fx.

Q: 5. 7. Determine the vertex and the equation of the axis of symmetry of the quadratic relation y =…

A:

Q: Solve the following polynomial inequalities. (Refer to #1 where you factored the polynomials)…

A:

Q: After making a change of variable, the quadratic form x+ x+ x + 6x1x2 + 14x1x3 + 6x2X3 is…

A:

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: The area of a certain rectangle is 52 square yards, and its perimeter is 34 yards. Find the…

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Q: A cell phone company estimates that by charging x dollars each for a certain cell phone, they can…

A: This can be solved by using the concept of maxima in differentiation. Given Revenue function is:…

Q: A man with 200 ft. of fencing material wishes to fence off an area in the shape of a rectangle. What…

A: Given, Length of fencing =200 ft We have to find the dimension of the of rectangle such that its…

Q: What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

A:

Q: 6. Use the Discriminant to determine how many real zeros exist for the quadratic equation 3x + four…

A: answer is option A.)   explanation is given in below step

Q: Fut the following quadratic equations and inequalities into vertex form and graph: Graph the…

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Q: A right triangle has a leg with a length of 19 and a hypotenuse with a length of 36. Bernie notices…

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Q: A box shaped like a block is used to make a place to plant potatoes. The box will be made using…

A: Given that A box is shaped like a block is used to plant potatoes. It is made of using cardboard.…

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 64 –…

A: Given that: y=64-x2

Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: Find out the discriminant of the quadratic equation 20x2+14x+20=0 using this definition

A: Given equation: 20x2+14x+20=0 Concept: Discriminant of a equation in the form ax2+bx+c=0 is given…

Q: A cell phone company estimates that by charging x dollars each for a certain cell phone, they can…

A: A cell phone company estimates that by charging x dollars each for a certain cell phone, they can…

Q: A​ person's rectangular dog pen for his dog must have an area of 100 square feet.​ Also, the length…

A:

Q: A small cell phone company estimates that by charging xx dollars for each phone, they can sell…

A: We use second derivative test to find out where revenue maximum

Q: 2a) would removing get from the resulant quadratic, equations roving get from the resulant…

A:

Q: What is the vertex of the quadratic y = 6(x – 2)² + 10?

A: Given quadratic equation ;   y = 6 (x -2)2 + 10 On simplifying; y = 6( x2 +4 -4x) + 10 y =  6x2 -24x…

Q: If the age of Ali is bigger than Sara in which the addition of age of Ali and Sara is equal (24 +…

A:

Q: Solve the polynomial inequality: 4(x+4)(x+6)(x−5)≥0  What do I do with the beginning number 4? do i…

A: This is the question of inequality and we solve it for the variable x. But we get x in interval.

Q: Find the nature of the quadratic form 2x2 + 2y? + 2z² + 2yz

A: Convert the given quadratic form to matrix form and solve it...

Q: The length of a standard-sized rectangular rug is 20 feet longer than the width.let x be the width…

A:

Q: 6. Use the Discriminant to determine how many real zeros exist for the quadratic equation - 3x +…

A: The nature of solution of quadratic equation ax2+bx+c=0 can be calculated using the discriminant…

Q: The city will pay to have soft pavement made of recycled tires installed in the playground. In the…

A: x=longer  side y=x-15=shorter side and the area is A=324 the area of the rectangle is given by…

Q: 7. Determine the vertex point of the quadratic relation y = -2x² +12x - 2 by writing in vertex form.

A:

Q: State the number of solutions for the polynomiai. f (x) = 2 -3x2 - 10c

A: We have to state the number of solutions for the polynomial f(x) = x3 - 3x2 - 10x

Q: What is the value of k so that the equation (k^2 - 4)x^3 + (k-2)x^2 + 7x - 8 = 0 is a quadratic…

A:

Q: he revenue for a restaurant chain​ (in billions of​ dollars) for the years 2010 to 2015 can be…

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Q: Obtain the solution set of: z^4 - j3z^2 - 2 = 0 (Hint: factoring and quadratic formula)

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Q: Find the dimensions of the rectangle of the largest area that can be inscribed in a circle of radius…

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Q: The maximum value of the quadratic form 4x2 – 8xy + 5y² is Select one: 9+65 2 9-V65 2 9 + V65 9+V185…

A: The given expression is u =4x2-8xy+5y2 calculate partial derivatives ∂u∂x=8x-8y=0⇒x=y…

Q: er is going to fence three sides of a corral next to a river. He needs to maximize the corral area…

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Q: Is there a real number ______ whose square is -1? b. Does there exist _____ such that x 2 = −1?

A:

Q: A rectangle has a length 4 m less than twice its width. When 6 m are added to the​ width, the…

A: Assume width of rectangle = x m Then , length of rectangle = (2x - 4) m When 6 m is added then new…

Q: Solve the polynomial inequality and gra x' 2 4x

A:

Q: A student attempted to solve the inequality x+4/x-3< 0 by multiplying both sides of the inequality…

A: Given, a The inequality   x+4x-3≤0   ⇒x+4x-3×x-3≤0×x-3  ⇒x+4≤0  ⇒x≤-4  We have to find the…

Q: (a) x² + 3x-10 >0

A:

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.