A= proje b= pro onto the column space of the matrix A.

Q: Solve quadratic equation : x^2=5x-6

A: The quadratic equation isTo determine: The solution of the equation

Q: Use the quadratic formula to solve for x from the equation -(1/4)x^2 + x + 10^-14 = 0

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Q: During the last 50 years, the consumption of eggs in the United States has decreased by 19%. Fifty…

A: 50 years ago, the average per-person egg consumption in the United States was 305 eggs. Now,…

Q: Put the function y = −4(x - 6)² + 11 in vertex form f(x) = a(xh)² + k and state the values of a, h,…

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Q: Problem 1 At the end of this course, every student will receive a letter grade. Consider the…

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Q: The polynomial p(x) = x³ + 11x² + 8x - 20 has (x + 10) as a factor. Divide the polynomials, then…

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Q: 8. A fruit punch has a ratio of 2 cups of powder mix for every 5 gallons of water. a. Represent the…

A: Question No. 8:A fruit punch has a ratio of 2 cups of powder mix for every 5 gallons of water.(a) To…

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A: The given functions:Steps to find the common range values of the two functions:Find the range of the…

Q: Let f(×)=-4×,h(×)=-×+5 find (foh)(6)

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Q: explain why we multiply the denominators and why we multiply the numerators. Discuss how you are…

A: Compute

Q: 8. A company offers a nut mixture with 6 peanuts for every 4 almonds. The company changes the…

A: Nut mixture 1:  6 peanuts for every 4 almonds = 3 peanuts for every 2 almonds.Therefore, the…

Q: For the following matrix, one of the eigenvalues is repeated. 22 3 A10-4 -9 0 -2 -1 (a) What is the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: A cellular phone company charges $57.95 per month for a service plan that includes 6 GB of data. In…

A: SolutionMonthly charge for 6GB of data = $57.95Additional charge for each additional GB of data over…

Q: 2. Solve the following inequality: (-3x-9) (2x-5) x² - 6x +5 0 2

A: The given inequality

Q: Factor the difference of two Squares completely m² - 36n 6

A: Given,

Q: The function f(x) is graphed below. How many points on the graph represent a relative maximum?' N g

A: Point of relative maximum :- a point from where the function changes its direction from increasing…

Q: a. Find the eigenvalues and eigenvectors of the matrix (8) A₁ = 21(t) x₂(t) v1 = b. Solve the system…

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Q: In 2014, a father is twice as old as his daughter. In 2019, the father is 45 years old. How old was…

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Q: Determine whether the expression is a quadratic expression in x. If so, write the expression in…

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Q: In the first step, when you assumed the equation of the plane is az+by+cz=1 where did the 1 come…

A: Let the equation of the plane is .

Q: Which of the following statements are true? Enter them in increasing order. For example, if only…

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Q: A pizza delivery man makes $50 per shift. For every pizza delivered he earns an additional $3.00…

A: A pizza delivery man makes $50 per shift.Therefore, the fixed cost per shift is $50And he earns an…

Q: Find the inverse function of f (x) = 5x + 2, and evaluate (ƒ-¹ of)(x). f-¹ (x) = (ƒ-¹ of)(x) =

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Q: Express the quadratic function f(x) = 2x (x - 11) in standard form, and identify a, b, and c. a= b =…

A: The given quadratic function is .The aim is to find the standard form of the function.

Q: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple…

A: The simple interest formula Simple interestPrincipal amountRate of interestTime interest

Q: The product of 7 and the cube of a number.

A: The product of 7 and the cube of a number.

Q: A cylindrical container is being designed so the height is twice the size of the radius. It is…

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Q: The graphs of f(x) and g(x) have an intercept in common. What is the ordered pair of the intercept?

A: The following graphs of f(x) and g(x) have an intercept in common. We find the ordered pair of that…

Q: 2. Consider the quadratic function f(x) = x² - 4x +9, the equation in standard form f(x)= a = with x…

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Q: If a company charges x dollars per item, it finds that it can sell 1000 6x of them. Each item costs…

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Q: simplify the expressions below. See special instructions . Expressions such as 4(x + 2) and (x + 5)²…

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Q: A packaging company will only accept packages for shipment if the sum of the height and the…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: 4) X - Y = 4 ------- --- X - Y = 4 -2X + 6Y = 3 -X -X -2X + 6(4-X) = 3 -2X + 24-6X = 3 -8X + 24 = 3…

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Q: 2. Factor each trinomial by grouping. a) 2y²-y-10

A: To factor the following trinomial.

Q: Given f(x) = 2x – 4 and g(x) = x + 1, on which interval are both functions negative?

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Q: 5. Stephanie's school is selling tickets to the annual dance competition. On the first de of ticket…

A: Stephanie's school is selling tickets to the annual dance competition. On the first day of ticket…

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by vertically stretching f…

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Q: Solve the following system of equations. 2x - y =5 and 2y - 4x= - 1 Select the correct choice below…

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Q: Calculate the area of a spherical triangle with side lengths a = b = π 4 and c = π 3 .

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Q: Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is…

A: In a triangle, the measures of the three angles are x,x−21, and x+51.

Q: Write the equation of the circle centered at (5,0) with radius 8. Fully simplify the equation.

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Q: You invest ​$1700 in an account paying 5.2​% interest compounded daily. What is the​ account's…

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Q: Write a function rule for the area of a triangle with a base 3 cm greater than 5 times its height.…

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Q: How would you define rounding tenths and hundredths place in Math?

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Q: In the space below, type the model linear equations for the relationship between year and EV - AVG…

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Q: DeShawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he…

A: There are 2 yachts and 6 barges.Total boats  = Total fuel needed =   gallons

Q: 33. Find the direction and magnitude of the vectors. a. A = (5.0 m) x + (-2.0 m) y, →>> b. B =…

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

Q: A medical social worker receives a $5,200 sign-on bonus after being hired by a hospital. The social…

A: P = $5,200r = 4.08% = t = 17 years.Formula for quarterly compounded interest:n = number of divisions…

Q: Find the determinant of the matrix M = 3 1 0 0 0 0 0 -2 1 0 0 -1 2 0 -1 -2

A: