The coach purchased b balls for d dollars. If each ball had cost $2 more, how many balls could the coach have purchased for $200 ?

Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 (51) (a) common…

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Q: Which of the following rational functions is graphed below? -10 10 -10 O A. F(x) = 1 (x + 1)² 10

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Q: time, t, in years. The function that models Finn's interest that each friend receives in umulated…

A: F(t) = 900 (1.08)4t A(t) = 300 (1.04)12t

Q: Description Graph the given inequalities on the number line. −3 < x < −1 or 0.5 < x ≤ 3

A: we have given the inequalities −3 &lt; x &lt; −1 or 0.5 &lt; x ≤ 3

Q: equation? represent the time it takes her to write the test, when she is distracted for part time,…

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Q: Use the graphs of functions f and g to answer the problem. (f. g)(3) (f. g)(3) = 1 Enter an exact…

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Q: Jane places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees…

A: We have to find the time at which the temperature of the water reaches 14 degrees.

Q: Use a matrix method to solve the following system of equations 3x-3y+z=5 4x + y + 2z = 3 5x + 3y +…

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Q: Identify the LCD and build up each denominator to the LCD. x+7 -6x T² - 2x - 48 22 11x + 24 and…

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Q: The number of mosquitoes, M(x), in millions, in a certain area depends on the June rainfall, x, in…

A: M(x)=22x-x2M(x)=Number of mosquitosx=Rainfall in inches

Q: We are told that on the map, 1 inch represents 2000 feet in real life.  So if the question says…

A: Given question is of the proportion.

Q: COMPLEX NUMBERS Find the three solutions to z³=-i and draw these on an argand diagram. Calculate…

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Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: Compute the following limit lim ∞0734 k j=1 1 j + k

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Q: O POLYNOMIAL AND RATIONAL FUNCTIONS Writing a quadratic function given its zeros Write a quadratic…

A: given function h zeros are 1 and -4

Q: Determine the vertex of the following parabola: ƒ(x) = 2x² + 8x + 1 Write as an ordered pair with no…

A: given f(x)=2x2+8x+1standard form of quadrantic function is f(x)=ax2+bx+c

Q: Pictured below is the graph of the vector field F(x, y) = . Which of the following equations…

A: Please see the below answer.

Q: 6. Define the given sequences. a) an=4-(-1)" b) ann cos ( c) an 11 d) an = 2n n²+1 12

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Q: Use the Laws of Logarithms to expand the expression. logs (5x)

A: The logarithmic expression is given by log35xy To determine: The simplified expression of the given…

Q: E O POLYNOMIAL AND RATIONAL FUNCTIONS Writing a quadratic function given its zeros Write a quadratic…

A: A quadratic function f whose zeros are 13 and 2.

Q: If A = (3) and B = (g), determine a. A + B b. AB c. BA

A: If A=7231 and B=4658, then to determine  (a) A+B (b) AB (C) BA Note: Since the student has posted…

Q: The graph of a quadratic function with vertex (-4, 0) is shown in the figure below Find the domain…

A: Domain : It is the set of input values for which the function is real and defined.  Range : It is…

Q: What are the coordinates of the hole (removable disconti- nuity) in the graph of the following…

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Q: Write the following expression without negative exponents and without parentheses. (10x)−2

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Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: Determine the equation of the line passing through the points (2, -4) and (12, 2). Express final…

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Q: 15. Find all values of 0 in the interval [0, 36 that have the given function value. √√√3 a. sin 0 =…

A: We will compare the values of sin function and tan functions

Q: Prove or disprove "If 2m + 1 is an odd prime number, then m = 2n for some nonnegative integer n."

A: "If 2^m + 1 is an odd prime number, then m = 2^n for some nonnegative integer n."

Q: Verify that the functions are inverses by showing that f. g and go fare the identity function. f(x)…

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Q: Provide the differences of squares for 10m^2-40 as shown in the example. a^2-b^2=(a-b)(a+b)

A: 10m2-40

Q: A person deposits 651 dollars into a savings account with an annual interest rate of 3 compounded…

A: For quarterly compounding:   The annual interest rate is 3%, which means the quarterly interest rate…

Q: C4. Which of the following is NOT true about the functions f g(x) = ₁² ? x -4 f(x) has a HA at y=1,…

A: f(x)=x2x2-4;    g(x)=xx2-4

Q: f(x, y) = (sen (xy) xy ,xy # 0 1, xy = 0

A: f(xy) =sin(xy)xy ,xy≠01           ,xy =0

Q: Suppose that n is a positive integer. Arrange the steps in the correct order to show that 2 divides…

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Q: -3x = 4{mod8}

A: 3x = 4 (mod 8)  We have to find all integral value of x.

Q: Suppose that the functions u and w are defined as follows. 2 u(x) = x² +3 w (x)=√x+2 Find the…

A: u(x)=x^2  +3 w(x)=√(x+2)

Q: John and Jimmy went to the bookshop to purchase some stationaries. The number of pencils John bought…

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Q: Please solved 2,3,4 parts

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Q: Condense the expression to the logarithm of a single quantity. [2 In(x + 4) + In(x) - In(x² - 9)] In…

A: given information 122lnx+4+lnx-lnx2-9

Q: For each function, determine whether it is a polynomial function. Function (a) f(x)=-8√x (b) h(x)=7-…

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Q: ii) How many years would it take for an investor to increase an initial investment of $5 000 to $10…

A: Solution- Initial investment (P)=$5000 Final amount after t years(A)=$10000 Rate(r)=5% or 0.05 Time…

Q: 9)5499

A:

Q: The vector equation r (u, v) = u cos vi + u sin vj + vk, 0 ≤ v ≤ 3π, 0≤ u ≤ 1, describes a helicoid…

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Q: (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = 2x³ +5x² +50x…

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Q: Find the vector x determined by the given coordinate vector [x] and the given basis B. Illustrate…

A: Given that the basis is B=11,2-1 and the co-ordinate vector is xB=32.It is required to find the…

Q: For eac Identifying polynomial functions tion, determine whether it is a polynomial function.…

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Q: Evaluate the expression. (Simplify your answer completely.) (a) logg(64) (b) log7(49) (c) logg (811)

A: To find  a) log8(64) b) log7(49) c) log8(811)

Q: Question Description Graph the given inequalities on the number line. −4 < y < −2

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Q: Determine which vertical asymptotes have odd multiplicity. INVI |x=-2 |x=2 x=-5 x=0. 4 4 3 1 $ -1 8…

A: using multiplicity concept of asymptotes.

Q: Ali, Bernard and Charlie shared some stamps. The ratio of All's stamp of All's stamps to Bernard's…

A: