Find a quadratic function expressed in vertex form that models the data in the given table. (Hint: Let the first data point in the table be the vertex.) X y 1980 4 1990 2000 64 240 The vertex form of the equation is y= 2010 553 ……….

Q: Tyler reads of a book on Monday, of it on Tuesday, of it on Wednesday, and of the remainder on…

A: Let total number of pages in book=x

Q: Math 116 Section 6.6 8. Solve a logarithmic equation. A. 2ln(x) + 3 = 7 B. Solve 6+In(x) = 10

A:

Q: 9. Determine if P = .2 .8 1] is a regular stochastic matrix.

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Q: Write the vertex form of a parabola that satisfies the conditions given. Then write the equation in…

A: The vertex form of a parabola is given by y=a(x-h)2+k where (h,k) is vertex. This vertex form is the…

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A: Given: In a popular online role playing game, players can create detaileddesigns for their…

Q: Give the formula for the general term (nth term). an =

A:

Q: Which transformation is used to transform the graph of f(x) (red curve) into the graph of g(x) (blue…

A: The graph of fx and gx are given.

Q: Proceed as in this example to find a particular solution y(x) of the given differential equation in…

A:

Q: Determine which steps are used to find the product shown. Put the steps in the order in which they…

A: Given Expression x2 + 7x + 10x2 + 4x + 4 . x2 + 3x + 2x2 + 6x + 5

Q: Section 6.6 and 6.7: Practice Problems 1. The population of a small town is modeled by the equation…

A:

Q: (a) Express Log (+4) in Cartesian form (x+iy)

A: Log3+4i2+i

Q: Graph the equation y x² the 10x + 24 on accompanying set of axes. You must plot 5 points including…

A: y=x2-10x+24

Q: Find a b if ||a|| = 7, ||b|| = 8, and the angle between a and b is radians. 6 a.b=

A: To find a·b if a=7, b=8, and the angle between a and b is π6 radian.

Q: For the given functions f and g, find the requested composite function. f(x)=√√x+4, g(x) = 8x -8;…

A: The composition of two function f(x) and g(x) is expressed as: f∘gx=fgx

Q: Jaya is organizing textbooks on her bookshelf. She has an English textbook, a biology textbook, a…

A: Jaya is organizing textbooks on her bookshelf. She has an English  textbook, a biology textbook, a…

Q: (c) Find the value(s) of a if both x³ + ax-5 and x²-x² + 3x-3 give the same remainder when divided…

A: Let x = k is factor of p( x ) then, when we put x = k in the expression of p( x ) it will give zero…

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A: We need to find the probability that a student chosen randomly from the class plays a sport and an…

Q: Write 37,360,000 using the word millio

A: We are required to write: 37360000 using the word million.

Q: 1a) Solve for x and y  x-y=20   2x +3Y=40 Substitution Method 1b) Solve for x and y   x=y   4x +3y…

A: To solve a pair of equations using substitution, first solve one of the equations for one of the…

Q: Practise Ex 3 : 2х1 + X2 = -X, - X2 + 3X3 = 2002 - Х3 + 3х+ JI 2 1

A: We have,   System equations is given.

Q: Solve the following system of equations. 9x+6y=-3 5x+6y=9

A: Here we have given system of two linear equation in two variables. 9x+6y=-3 and 5x+6y=9 To find:…

Q: Determine the proceeds of a non-interest-bearing promissory note for $7500, discounted 36 months…

A: Given: We have a promissory note for $7500, discounted for 36 months beforeits due date at 8.5%…

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A: We have,    Fancing = 90 feet Semicircle

Q: Given the geometric sequence: 10, Find an explicit formula for an. am Find ag 100 1000 7 9 81

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Q: Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent…

A:

Q: Let L(x) = 5x. L(x + y) = L(x) + L(y) = [ L(cx) = cL(x) = Which of the following is true? Check all…

A: Let Lx=5x To find the following. Lx+y, Lx+Ly, Lcx, cLx=? To determine the true statement.

Q: Miguel is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a…

A: Number of ways of arranging n different items is given as  Total number of ways = n!

Q: 1.) Solve for x and y x-y = 20   2x +3Y= 40 Substitution Method

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: In a class of students, the following data table summarizes how many students play an instrument or…

A:

Q: How much do you need to take out of your monthly paycheck for 20 years, to be put into a simple…

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Q: Solve the equation: log4 X +log 4 (X-15)=2

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Q: Let P(n) be the following statement: (n + 1)! > 3¹ a. Determine whether P(n) is true or false for…

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Q: 1. A large group bought 42 tickets to a movie showing. Child tickets cost $7 each and adult tickets…

A: 1) A large group bought 42 tickets.Child tickets cost $7 each and adult tickets cost $12 each.

Q: Solve the system of equations using Cramer's Rule if it is applicable. 6x − 7y + 6z = 4 - 4x + 5y +…

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Q: e 2 FCx) = x 4-4x³-32x² X³+2x²-24x

A:

Q: If two lines are perpendicular, then the slope of one is the negative reciprocal of the slope of the…

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Q: Use the distributive property to remove Simplify your answer as much as possible. 3 2 he par (5-6w)

A: Given expression is 32(5-6w) The distributive property is a(b+c)=ab+ac

Q: If f(x) = 4x-3 and g(x)=2x + 1, what is 8(f(x))? A B C D f(g(x)) = 8x-5 f(g(x)) = 8x + 1 f(g(x)) =…

A:

Q: A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells…

A: Let the $1.80 per pound candy required in the mix be 'x' pounds and let the $3 per pound candy…

Q: 15. For the three-part question that follows, provide your answer to each question in the given…

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Q: ← A pet store sells three different starter kits for 10-gallon aquariums. The accompanying chart…

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Q: Using the inner product (,): P2(R) x P2(R) → R, (p, q) = p(0)q(0) +p(1)q(1) +p(2)q(2) + p(3)q(3)…

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Q: What is the sum of the geometric series 0.14 + 0.014 + 0.0014...?

A: 0.14+0.014+0.0014....

Q: Solve the problem using a system of equations. (Enter your answers as a comma-separated list.) The…

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Q: answer. 27. Show that if A is both diagonalizable and invertible, then so is A-¹. 20 OL

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Q: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. How…

A: The ice cream shop offers a choice of 2 cone sizes, 20 flavors of ice cream, and 5 toppings. To…

Q: Solve the equation for solutions over the interval [0°, 360°). 5 3130 5 tan 0- cot 0 = 0 Select the…

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Q: To estimate the number of people in Springfield, population 10,000, who have a swimming pool in…

A: To estimate the number of people in Springfield, population 10,000, who  have a swimming pool in…

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Q: Math 116 Section 6.7 In Science and Mathematics, the base e is preferred. We can use laws of…

A: y=2.53.1x