Answer the questions below about the quadratic function. f(x) = 3x2 + 12x + 8     (a) Does the function have a minimum or maximum value?  (b) Where does the minimum or maximum occur?  (c) What is the function's minimum or maximum value?

Q: Find a basis for the subspace of R³ spanned by S. S = {(1, 4, 7), (-1, 5, 7), (2, 5, 1)}

A: The matrix form the vectors is: A=1-12455771

Q: 4a-25 2a+5 b) x-2 4-x 2+x 2

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Q: QUESTION 3 Given the demand equation D(x) = -0.2x + 0.9 and the supply equation S(x) = 0.8x + -0.8,…

A: The equilibrium price is where the supply of goods matches demand.

Q: 1. Proof the remaining Dot product properties Let a = (1,2, –3), b = (0, 2, 4), and c = (5, –1,3).…

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Q: Determine whether S is a basis for the indicated vector space. S= {(0, 0, 0), (5, 1, 2), (2, 3, 5)}…

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Q: 7. Fred has 5 dogs. He is giving out b amount of treats to each of his five dogs. Write an…

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Q: B. Determine the domain and range of each of the following r 6. y2 = x2 + 2x-3

A: Since question B is visible, answering that. Given query is to find the domain and range.

Q: Foctor Completely. ithe pynunmialis nat fuclorable, write prime. Lon -lln-2

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Q: la Graph the function f)= 2xcX -4) (xt 3] 2x(x-4)(xt3)

A: Given

Q: the grotup5 Hneartyin tefentent 5 -16015ण (2)07") 3 +0 गईबट नगर Rि ' न thर 8cle

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Q: The quadratic cquation can be generalized as ax²+bx+c = 0. Show that the value of x in tems of a, b…

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Q: In 1983, the bison population in Yellowstone National Park was estimated to be only 50 animals…

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Q: Consider the graph of the polynomial function shown. Based on the graph, is the degree of the…

A: The given graph is:

Q: Astronomy: Light travels 186,282 miles per second. A. a. How many miles will light travel in one…

A: Light travels 186,282 miles per second.A To determine how many miles will light travel in one year.…

Q: Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y =…

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Q: Interest is compounded annually. Find the amount in the account after the given time.​ (Hint:…

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Q: Problem 3 Let R be any ring with ideals I and J such that J CI Let 1/] = {a +J| a e 1} Prove…

A: NOTE:- AS POSTED MULTIPLE PART OF THE QUESTION, I WILL ANSWER ONLY FIRST THREE PART AS PER BARTLEBY…

Q: Write the the function f(æ) = x² – 2æ + 6 in the form f(x) = a(x – p)² + q by completing the square:…

A: We can fill up the blanks to write the function in the required form as below.

Q: 10 -10 -8 -6 6 8 10 -10- Identify a and b for the hyperbola with equation a2 y? = 1. 62 a = b =

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Q: Explain why S is not a basis for P2. S = {1, 2x, –4 + x², 3x} O sis linearly dependent. O s does not…

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Q: 1 1 3 a If A = = 1 is orthogonal, then A -2 C 1 will be

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Q: 6x a) 3x+3 x² +3x+2 5x x +3x+2 b) x +4x+3 x² +x-6 x² -4

A: a)6x23x+3÷5xx2+3x+2b)x2+3x+2x2+4x+3÷x2-4x2+x-6c)3x2-6xx2-7x+10×x-512x2

Q: The measure of the largest angle in a triangle is 100° larger than the sum of the measures of the…

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Q: i. Given that loga P = 0.7and loga q = 2, find loga p², loga p² q and loga(apq) %3D

A: Given query is to find the Indicated logarithmic expression.

Q: QUESTION 6 Simplify the following and leave in radical form. V52 +4/24 -54

A: Simplify the following

Q: Rocco loves going for a walk. In the past 20, days, he has walked 310, miles. If he walked the same…

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Q: The vehicle's fuel efficlency Is no less than 45 miles per gallon. Use f to represent the vehicle's…

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Q: Determine the value of x given the following equation x²+2x+1=0.

A: x²+2x+1=0 use formula of (x+a)2 = x2 +2ax +a2 (x+1)2 =0 x+1 =0 x =-1

Q: Solve the quadratic equation using the quadratic formula.  -x2+10x-25=0

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Q: P: loday is Montay What is ap? wnas ir (7x^2-3メソ)-(メ2+5)eaual to? what Is X-Y<32 in words?

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Q: Consider the figure below. Triangle A'B'C' is a projection of triangle ABC. B' A' Which of the…

A: We have to find which option is correct.

Q: The experimental probability that a delivery service will deliver a package late is 3%. An employee…

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Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: Given f(x)=1.8208e0.3387xGiven f(x)=$6 billion

Q: Which of the following statements about the polynomial function g(x) = –x(x – 1)² (x + 3)* is true?…

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Q: Solve the logarithmic equation. Write the answer in exact, simplified form. log(y)81=4  (y>0)

A: We can solve the given problem as follows:

Q: Find matrices A, X and B so that the given system of equations can be written as AX = B. 32x + 4y =…

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Q: 2. n+ 3 п — 14 n +1 п? — бп — 16 + n? – 4n – 32 - | n? + 6n +8

A: The given equation is: n+3n2-6n-16+n-14n2-4n-32=n+1n2+6n+8

Q: evaluate the following expression. Express your answer as a fraction or a decimal number rounded to…

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Q: In economic theory, we let x represent the number of items (called demand) a supplier will produce…

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Q: In each part, determine whether the polynomial is a linear combination of p, = 2+x+x², p, = 1– x²,…

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Q: Solue the rational ineguality. write the solution Set in interual hotation メt21 X+2 olt

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Q: assume that a dress belt company produces only size 30 belts their belt specification is 30 inches.…

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Q: Find all real solutions of the polynomial equation x* - 7x + 42x - 36 = 0. х%3D 1,-36, 12 х%3D 1,-7,…

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Q: Find the solution set of each equation/inequality. For inequalities, write your answer using…

A: We have to solve the given inequality.

Q: Claim: Fewer than 96% of adults have a cell phone. In a reputable poll of 1195 adults, 90% said that…

A: Solution:  Given that,

Q: Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.

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Q: All changes saved 14. For the three-part question that follows, provide your answer to each question…

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Q: 1 (a) y" + 3y' + 2y = 1 + e* et y" – 2y' + y = 1 + x² y" + 3y' + 2y = sin e*

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Q: Prove the following results. (I). If n = 2(mod 4), then n is the sum of three squares of integers.…

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Q: Solve by using the product or quotient properties of logarithms to condense the equation to the form…

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