Write the algebraic expressions described by the following English phrases. Use the variable name "x" to describe the unknown. 1. four less than a number 2. four less a number Answer Key four less than a number: four less a number:

Q: Granola costs $4.50 per pound. Assorted nuts cost $7 per pound. How many pounds of granola and nuts…

A: We have to find the granola and nuts needed to make trail mix.

Q: Which of the following represents the explicit formula for the Arithmetic Sequence? -33, -29, -25,…

A:

Q: 3. Given the following vectors: S = 3i -j+ 5k P = 2i + 4j - 6k +9K Q = -7i + 2j + 9k %3D Obtain the…

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Q: Molly has a sprinkler than covers a circular area with diameter 16 feet. What is the area of lawn…

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Q: The graph of a quadratic function with vertex (0, 3) is shown in the figure below. Find the domain…

A: We need to find domain and range.

Q: Given that (x)= 2x² – 3x + 4 find the value of S(3)+ f(-2) O 31 O -5 O 20 O 12

A: The given function f(x)=2x2-3x+4

Q: (c) As x increases from 0 to the graph of the equation y = 2 tanx will 1) increase from 0 to 2 2)…

A: Solution:- As x is increases in given limit the equation value y=2 tanx goes beyond the 2 and upto…

Q: Let f(x) x2 + 8 Graph the function above. Find the equations of the horizontal asymptotes and the…

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Q: 2. A firm producing two goods, x and y, has the cost function given by 1 1 x? – 10x + 100 y3 – 9y +…

A: Given that the cost function is Cx,y=1100x2-10x+1300y3-9y+20600. a) It is required to find the cost…

Q: ; 4th term (m+n/2)8

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Q: A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet…

A: Linear model

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

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Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity (the maximal population…

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Q: Graph the function by using transformations of the graph of y= Plot all necessary asymptotes. For…

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Q: 5. Given R ={(1,1), (1, 3), (2, 1), (2,2), (2, 3), (3, 1)} on {1,2,3,4}. Thus, R is reflexive. A.…

A: Given problem :- Given R = {(1,1), (1, 3), (2, 1), (2,2), (2, 3), (3, 1)) on {1,2,3,4). Thus, R is…

Q: Answer this question for me mate. Much appreciated. :)

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Q: Which of the following geometrical constructions is shown in the diagram below? O Constructing the…

A: Given query is to find the correct option for the construction.

Q: Previous question d the following for the function f(x) = 4x +2x - 3. f(0) - f(x) (b) f(3) (1) f(x +…

A: Topic:- algebra

Q: Translate V x 3 y (x < y) in English, considering domain as a real number for both the variable. O…

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Q: Find the required term in the binomial expansion. (a − b)4; 2nd term

A: Topic:- algebra

Q: The temperature T(t), in degrees Fahrenheit, during the day can be modeled by the equation T(t) =…

A: T(t)=-0.7t2+9.7t+58.8a) T'(t)=0   ⇒-1.4t+9.7=0    ⇒t=-9.7-1.4    ⇒t=6.9After 6.9 hours

Q: Make up a question that has 25 -1 as its solution. Explain.

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Q: For the following matrices, find the determinant using two ways, 2 3 1 1 1' 1 4 -1 A = 0 1 4 B = | 1…

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Q: Use the remainder theorem to find the remainder when f(x) is divided byx-C. f(x) =x* +8x + 12x; x+1

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Q: b) 1 - log (2x + 3) = log (x + 1) %3D

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Q: The number of milligrams D (h) of a drug in a patient's bloodstream h hours after the drug is…

A: We have to find the initial amount and amount after 6 hours

Q: {2, 3} CA implies that 2 E A and 3 e A. Select one: O True False

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Q: 97/121.25 821164.82

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Q: 1. Let z1 = 2-i and z2 = 1+i. Use the parallelogram law to construct each of the following vectors.…

A: Do the component wise addition and  subtraction.

Q: 2. A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.7. a. How…

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Q: 5. Given the pigure below, deternine the Sum Of the neguures Of The inainteriur 9ngle and the value…

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Q: You have 152 feet of fencing to enclose a rectangular region. What is the maximum area? O A. 5,776…

A: Given query is to find the area.

Q: B(4,7) Cl9,5) 4 3 JA(1,2) 2 3 5 6 1 8 9

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Q: O LINES AND FUNCTIONS Tamara V OO D 0/5 Domain and range from the graph of a piecewise function…

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Q: Determine if the vectors are linearly independent or not

A: The vectors are linearly independent.

Q: Describe the end behavior of the following functions, and identity horizontal asymptotes. 3x3 a)…

A: Solve the following

Q: Solve for k using the quadratic formula. Simplify your answer if possible. 101010101010101011…

A: To solve the given quadratic equation.

Q: 20 people want to continue with a minibus. But there is onh m for 16 people How many possibilities…

A: Given: Number of people =20  Number of people to choose =16 Note: Note the important difference…

Q: Which of the following relations is NOT a function? y = (x+2}° y =tVx 8 y x-3 y = 2"

A: The objective is to find which relation is not a function.

Q: Which of the following is TRUE of the given coordinates below? (-4,-3), (1,-8) , (-4,-14), (9,-16) O…

A: The coordinates,-4,-3, 1,-8, -4,-14, 9,-16

Q: Once an antibiotic is introduced to treat a bacterial infection, the number of bacteria decreases…

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Q: The Weidmans want to save $35,000 in 4 years for a down payment on a house. If they make monthly…

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Q: Define the seqeuence {a,} as follows: ao = 12, aj = 29 a, = 5a,-1 – 6a,-2 for n > 2 Use strong…

A: To prove by strong induction  the explicit formula for the given sequence.

Q: Writing Exponential Functions Given the Initial Value and Rate of Change, write the exponential…

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Q: Which

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Q: f (x) = x² + 8x + 7

A: To convert the following function to vertex form. Then to graph the parabola of the function,…

Q: –1 dx

A: Solve the following

Q: Which of the following can only be used in disproving the statement/s? O mathematical induction O…

A: ## which one of the following can be used in disproving the statement , the answer is as follows

Q: Which of the following represents the explicit formula for the Arithmetic Sequence? -33, -29, -25,…

A: topic- arithmetic sequence

Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2