In a party, we have 30 people who are tall 55 people who are basketball player 60 people who are not tall 20 people who are not tall and who do not play basketball Use Venn Diagram to find, how many people are in this party? O 65 O 70 none of these answers 90

Q: For f(x)=2x-4 and g(x) = 4x²-2, find the following functions. a. (fog)(x); b. (gof)(x); c.…

A: The given function is f(x)=2x-4,g(x)=4x2-2 We have to find the a)…

Q: Consider the number line shown here: 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 a. Between which two labeled…

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Q: Apply logarithm rules to rewrite the following logarithmic express a. 5log5 12 b. log, 8³ 1 C. d. 2…

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Q: Problem 1. We define the functions f(x) = {₁ = a) Calculate f* g. b) Calculate f and ĝ. c) Conclude…

A: Given: f(x) =1        0≤x≤1            0          otherwiseg(x)=e-x x>0            0   x<0

Q: Write the system of equations as a matrix equation AX = B, with A as the coefficient matrix of the…

A: given  x1+8x2=-27          -3x1+5x2=-35we know that  Ax=B

Q: List the first 5 terms of the geometric sequence given a₁ = 84 and r= 0.5.

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Q: Find the maximum value of the function f(x) = -0.3x² - 1.7x + 4 to the nearest hundredth.

A: To find the maximum value of the function

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Q: 6. Find the difference quotient f(x+h)-f(x) h for f(x)=x²-2x+1.

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Q: Derive a set of inequalities to describe the region. Triangle: vertices at (0, 0), (4, 0), (4, 5)

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Q: Let y = 8 B 9 and u = 6 이 Compute the distance from y to the line through u and the origin. 8 The…

A: Here we want to find the distance between a line and a point.

Q: Noel R. Parent Sign. Unit 2 Unit Assessment Name Solve the problems. 1 1 The expression 4 X 1,000+ 9…

A: The objective is to solve the above question.

Q: 9. Is the following set of vectors a basis for the subspace they span? If not, find a basis for this…

A: To solve the following problem and find basis for the subspace

Q: For the function f(x) = 2x² + 2x, evaluate and simplify. f(x + h) − f(x) h

A: For the function f(x) = 2x²+2x, evaluate and simplify.

Q: Complete the description of the piecewise function graphed belov -7 -6 -5 -4 -3 f(x) = -2 - 1 -4 if…

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Q: Let f: Z R be a function, given by f(x) = -(x³). Which of the following statements are correct? Tick…

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Q: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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Q: How much must be invested today at 7% compounded monthly to have $3,000,000 in 20 years?

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A: we need to find out the range of the function on the given interval.

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Q: 3 The function f(x)=x²³ - 10 is one-to-one. a. Find an equation for f1, the inverse function. b.…

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Q: The imaginary unit is equal to O O O O i -√I (-1)² √=1 1-1

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Q: 7. Let f(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following. a. (f+g)(-4)

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Q: Write an equation in slope-intercept form for the line with slope and y-intercept 3. 0 0=0 88 08 X

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Q: y = x^{2} - 7x + 6 Rewrite the given quadratic function in the form y = a(x − h)^{2} + k

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Q: b. log 64 = 3

A: Topic = Algebra

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Q: 1.6+0.4(x+6)+3.2

A: To simplify the expression means writing it in the simplest form.

Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: The graph of a quadratic function with vertex (2, 0) is shown in the figure below. Find the range…

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Q: Determine the missing side length in the right triangle below. 48 20 X

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Q: A device used for treating of agri-effluents has an inflow of 8 cubic feet per second and the amount…

A: Given: A device used for treating of agri-effluents has an inflow of 8 cubic feet per second and the…

Q: Evaluate each expression using the values given in the table. - 1 2 - 3 6 0 3 X f(x) g(x) a.…

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Q: What is the domain of the function f(x)=√x-2?

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Q: Linear cost and revenue equations are shown below. Find the break-even quantity. C(x)= 13x + 4600,…

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Q: 52) Siegfried borrowed $4 a day until he had borrowed a total of $88. For how many days did he…

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Q: Fill in the Blank 1. 1 11 2340 1 1 1 0 1 12 1= -1 2 2

A: To find the product of matrices

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A: According to bartleby guidelines we supposed to do the first three parts of multiple multiple…

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Q: x≤-6 or x> 9 -6 < x≤9 x≤-6 or x ≥ 9 --7-6-5. 8.9 10 +0+/+0+0 -7-6-5 8 9 10 +*+/+*+ -7-6-5 8 9 10…

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Q: If f(x) = x³ and g(x) = -2x³, how has f(x) been transformed to get g(x)? The graph of f(x) has been…

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Q: Determine the positive x solution for the following equation. 20+ x² = 45

A: The expression is given as 20 + x2 = 45 Separate the variable, we get x2 = 25

Q: Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper…

A: Given that,                  A = -601206-1212-120 Now, the characteristic equation of A is…

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Q: Use the graph to determine the function's domain and range. (Enter your answers using interval…

A: We are required to find the domain and range of the given function.

Q: A. UNGROUPED DATA Determine the (1) range, (2) mean, (3) mean absolute deviation, (4) sample and…

A: