16. Write the equation of the following graph in vertex form. -5 4 -3 -2 -1 Vertex form of the equation: 4 N T N Co पं 1

Q: Find the vertex of the parabola. f(x) = 2x²-8x+2

A: parabola

Q: If $6400 is deposited in an account at the bank and earned 5% annual interest compounded quarterly,…

A: Formula used for compounded quarterly A = P( 1 + R4100 )4t where A = amount after time t P =…

Q: In questions 10-12, given r(x)=-3x, p(x)=x² + 3x, and g(x)=√√1-x, find the algebra of functions and…

A:

Q: In R³ let v = 2 and w 3- 3 -3] 5 7 Calculate u so that u = w - proj.

A:

Q: A hawk flying at 16 m/s at an altitude of 140 m accidentally drops its prey. The parabolic…

A:

Q: Find the future value for the ordinary annuity with the given payment, and the interest rate payment…

A: Given :   P = 1600 r = 0.0155 per annual n = 6  year

Q: Seven-eights of a number is -63. Write an algebraic equation No hand written solution and no image

A:

Q: Factor out the GCF from the given polynomial. y(x-1)-9(x-1) y(x-1)-9(x-1)= (Type your answer in…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use the graph of f to evaluate the following: -1 6 5 4 3 2 1 f(x) X 1 2 3 4 5 6 The average rate of…

A: average rate of change=f(5)-f(2)5-2

Q: A candy jar contains 8 red, 7 green, 2 blue and 3 yellow m&m. If a single m&m is chosen at random…

A: Given: A candy jar contains 8 red, 7 green, 2 blue and 3 yellow m&m.

Q: Dennis wants to buy a $370,000 house with a 20% down payment. He is looking at a 20-year mortgage at…

A: Given query is to find monthly payment.

Q: When 4 times a number is increased by 5, the square root of the result is 11. Find the number.

A:

Q: What is the solution to the following equation? 1 25 + A B C D 1 X = 1 20 x= x = 5 1 500 x = -5 x=…

A: Solve the given equation

Q: If the determinant of the the matrix a 2x 0 0 4 Answer here: x = 1 A = 0 b 9 is 16, then the value…

A: A=1ab02x9004given determinant of A is 16

Q: If f(x) = x+8, g(x) = x - 9 and h(x) = √x, then f(g(h(x)))=

A: Given functions are f(x)=x4+8, g(x)=x-9  and h(x)=x

Q: Example 3 For the last 6 years Joe has made deposits of $300 at the end of every 6 months earning…

A:

Q: A panel containing five on-off switches in a row is to be set. Assuming no restrictions on…

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Q: The table below gives the annual sales (in millions) of a product. 1998 1999 2000 2001 237 273 301…

A: Given query is to find the rate of change fo indicated years.

Q: 3 Given the matrix =(39), -6 A = (a) find a basis for the null space of A, (b) find a basis for the…

A:

Q: T₁ T2 X1 X2 ([₁₂]) = [ X2 4x1 - 5x1 + 2x2 - 2x1 -4x2 (T₁-T₂) ([^^]); O 2 Ex: 42

A: We have  T1x1x2=4x1-5x1+2x2T2x1x2=-2x1-4x2

Q: Calculate the number of ways to generate a password consisting of 6 characters according to the…

A: First three distinct letters of the name. Since the first three letters must be distinct and cannot…

Q: A. If I decide to walk diagonally across the state (ignoring all mountain ranges, rivers and…

A: Let east to west length denoted by = x  let north to south length denoted by = y

Q: Evaluate each of the following limits. If you need to use co or -00, enter INFINITY or -INFINITY,…

A:

Q: Find the GCF for the list. 147y³, 245² The GCF is

A:

Q: Problem #2: Let A = 2 -1 0 0 7200 0 0 -1 -1 2 OONT (a) Find the characteristic polynomial of A. (b)…

A:

Q: Solve the equation. 2(x+5) = 5 - 4(x + 5)

A:

Q: 1. It is known that A = 10 1 1 0 1 -1 0 (a) -3 (b) 6 (c) None of the above values. -2 -1] 1 4 2 1 3…

A: A=10-2-111140121-1038

Q: m 3

A: Coordinate Geometry

Q: There are 2 red crayons, 3 blue crayons, 1 black crayon, and 4 green crayons left in a box of…

A: Here we have to find the probability.

Q: A quadratic function has its vertex at the point (5,-2). The function passes through the point (2, -…

A:

Q: Seventy homes for sale in Daytona Beach, Florida, were randomly selected in the Spring of 2023. A…

A: According to question a regression model was run to predict the price of the house for sale in…

Q: 2 Find the average rate of change of g(x) = 5x³ + x4 Enter your answer as either an integer or…

A:

Q: Consider the function graphed at right. The function has a Select an answer The function is…

A: The function has a maximum of 3 at x=3

Q: Use A-¹ to decode the cryptogram. 1 2 2 3 7 9 -4 -2 11 -2 29 100 -55 3 247 -9 6 58 -8 9 63 -29 -9 97…

A:

Q: Consider the function graphed at right. The function has a Select an answer of The function is…

A: Given query is find the characteristics of the graph.

Q: the following equation. Write your answer as a fraction reduced to lowest log_(16)(x)=(3)/(4)

A: Please see the below picture for detailed solution.

Q: The functions f(a) and g(a) are graphed below. Determine (f+g)(2) Determine (f-g)(-4)= Determine…

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Q: Given the following functions, find each of the values: f(x)=x²-3x+2 g(x) = x - 1 (f+g)(3) =[ [ (f-…

A: Topic = Functions

Q: x2 f(x) = x² + 4x - 12 x2-3x - 10

A:

Q: Let and w be vectors in R". Show that if ||v + w||² = ||v||² + ||w||² then and w are perpendicular.

A:

Q: Find the equation of the tangent line at the given value of x on the curve. y³ + xy² - 61=x+3y²; x=3…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: 6. Consider the matrix (a) (b) A = -7 -3 8 18 Find the eigenvalues of A. Find the corresponding…

A:

Q: Write the set using the roster method. B={y|||19≤y≤31andyis an even number }

A:

Q: 1 x-5 Then (fog)(7) = (fog)(x) = Question Help: Video 1 Video 2 Let f(x) = and g(x) = 4x + 11.

A: Given functons:- fx=1x-5 ,gx=4x+11

Q: Find any numbers for which the rational expression is undefined. X+6 4x+3 Select the correct choice…

A: Given query is to find the value of x where function is not defined.

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 13 3 1…

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Q: Find the quotient and simplify. X HÀNH X-9 + X +X-12 x-9 X 450H1 X AX-12 X-9 x-9 (Type your answer…

A:

Q: 2 Log, 1÷7mn

A: Given  expression:- log71÷7mn2

Q: Match each graph to one of the following functions. Select the function for each graph from the…

A: Graphs are given

Q: Consider the following series. n=1 (a) Use the sum of the first 10 terms to estimate the sum of the…

A: Given series is ∑n=1∞1n2