If you lean a ladder against a wall, the length of the ladder should be √(x)2+(4x)2ft considered cafe. The distance x us how far the ladder's base is from the wall. Estimated the desired length of the ladder when the base is positioned 5th from?

Q: Factor completely over the real numbers and graph each of the following. Be sure to label all x- and…

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Q: The diagram shows two rectangles ABCD and PQRS. AB = (2x + 5) cm, AD = (x + 3) cm, PQ = (x+4) cm and…

A: topic - quadratic equations

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A: R=108x2/3-6x

Q: I have to find the domain of f(x)= (sqrt: x + 8)/ x-8 and I understand how to find the domain of a…

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: Find the value of k for which x - 7 is a factor of f (x) = x3 - 6x2 + kx – 7. State the remainder…

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Q: Solve for x. Show your work. 4x + 5 = 23 4x - 5 = 8x +7- 6x 6. 5.

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Q: using its equation. f(x) =(4x5)– 3x + 2x³ Justify how you know here:

A: End behavior is determined by the degree of the polynomial and the leading coefficient.

Q: 4x3 + 10x² +x – 9 4. Find (Make sure to show all your work.) (x + 2)²(x² + x + 1)*

A: Explanation of the solution is given below...

Q: The revenue from the sale of a product is given by the function R= 289x-x², (a) Use factoring to…

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Q: The total cost function for a product is given by C(x) = 3x- 12x - 192x + 1368, where x is the…

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Q: The degree of precision of a quadrature formula whose error term is : f(2) (5) is О4 1 Оз ООО

A: 1

Q: When f(x) is divided by (x – 3), the quotient is x* + 2x – 10. Is (x – 3) a factor of f(x)? Yes No

A: when f(x) is divided by (x-3), the quotient is x2+2x-10. The value of f(x) is f(x)=(x2+2x-10)(x-3).…

Q: If one root of f(x) = x2 − 4x + 5 is 2 + i, what else do you know?

A: f(x)=x2-4x+5                                    One root is:=…

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

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Q: Find all zeros of the function if (x+3) is a factor. F(x)=2x^3+13x^2+17x-12. Please show solving…

A: Solve using long division method

Q: Find a real root of the x3 + 2x2 + 10x − 20 = 0 by the Tartaglia-Cardano method. Remember that you…

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Q: If f(x) = 5x² - x + 5, then what is the remainder when f(x) is divided by a 2? -

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Q: The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x − 2800,where x…

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Q: The profit for a product is given by P (x)=- 14x²+ 1400x – 33,600- where x is the number of units…

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Q: The profit function,in dollars,for a product is given by Π(x) = −x3 + 76x2 − 380x− 2800, where x is…

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Q: of f (x) = 1³ + 2z² + 3x + 6?

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Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

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Q: During a nationwide program to immunize the population against a new strain of the flu, public…

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Q: I need to find a degree 3 polynomial having zeros -5, 1 and 6 and the coefficient of x3x3 equal 1.…

A: Given query is to find the polynomial.

Q: The x-values satisfying that 2x² + 5x – 12 > 0 is:

A: We have 2x2 +5x -12≥0

Q: need to find the x-intercepts of the quadratic by factoring  f(x) = 3x2 - 9x + 6

A: Given query is to find the x intercepts of quadratic.

Q: A rectangular corral of 52 square meters is to be fenced off and then divided by a fence into two…

A: I'm providing hand written solution for better understanding.

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h.…

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the…

Q: Find the smallest root of the equation f(x) = 2x – 6x + 11x – 7 = 0

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Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given b

A: Given relation - P(x) = 50x-0.25x2where,P(x) = Profitx = number of ticketsDifferentiating P(x) with…

Q: Please use the Newton-Raphson Method to find the real root of x + 12x 4x² +50. 2.

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Q: 7x a) x2-x-42 b) f(x) = v2 – 3x -

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Q: Find the value of the constant "k": 3x^2-5x+ 4k-5-0 has one root equal to 0.

A: We will use formula for root of quadratic equation

Q: 2. The volume of a box is represented by the function V (x) = x³ + 6x² + 11x + 6 .The height of the…

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Q: What is rhe third root of unity ?

A: This question can be solved using the concept of complex numbers.

Q: The daily profit, P of a coffee shop is given by P=12x – 0.02x2 where x is the number of coffees…

A: We have to find the maximum profit from the given function.   According to our guidelines we can…

Q: Find the roots of f(x) = 4x^2 + 8x -7 Find the vertex using the roots (different procedure than…

A: The quadratic formula for finding roots for ax2+bx+c=0 is: x=-b±b2-4ac2a The given function is…

Q: Consider the following Y=1/3x^3-3x^2+8x+2 Find the relative maxima, relative minima, and points of…

A: Given y=13x3-3x2+8x+2

Q: The cost function in a dress factory is C(x) = 5x + 27 and the revenue function is R(x) = - 3x +…

A: To find: The number of dresses sold that will provide $69 thousand profit. Given information: The…

Q: Solve for x. Show all of your work. 10x + 10 11x + 2

A: We have to find the value of x

Q: Find the value of x that makes yz. ['Extra Credit: State the Theorem that supports your answer]…

A: Given: A transversal is passing through two parallel lines y and z. The objective is to find the…

Q: The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number…

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Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: topic - application of derivatives

Q: A rectangular box for a new product is designed in such a way that the Three dimensions always have…

A: Given: A rectangular box for a new product is designed in such a way that the Three dimensions…

Q: the profit for a product is given by P(x) = -15x^2+1500x-24,000, where x is the number of units…

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Q: The negative root of x' – 3x° + x> – x4 – x – 11x + 31 the x-axis.

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Q: The volume of a box is 36x^3+6×^2-72×+30 its length is 3x+5 and uts width is 3x-3 use these to…

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Q: Flx)=14x=2x - 2x find obliq-es asympto tes use the long Formula

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.