1. Identify the vertex, the axis of symmetry, the maximum or minium value, and the range of each parabola. y = x2 + 2x + 1 y = 3x2- 4x - 2 y = 2x2 + 5

Q: Consider the line y=-6x +1. Find the equation of the line that is perpendicular to this line and…

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Q: Let ​f(x)=x2−5 and ​g(x)=4−x. Perform the composition or operation indicated.   (1/g) (2) =…

A: In your Part 1 we can't  understand what are you want asking so i find both composition or product…

Q: Find f'(x) and simplify. x + 6 x² f(x) = Which of the following shows the correct application of the…

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Q: The diameter of a human hair is 9 . 10-5 meters. The diameter of a spider's silk is 3.10-6 meters.…

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Q: Find f'(x). f(x) = 2 e f'(x) = - 8x

A: Solve for the derivative

Q: Identify the transformations of g(x) when compared to the parent function f(x)=√√x. g(x)=√√x-4…

A: Note: Since you have posted multiple questions we will solve the first question for you. To get the…

Q: According to the National Center for Health Statistics, in 1990, 28% of babies in the United States…

A: Percentage of babies born out of wedlock when there is a growth rate is given by P(x)=P0+rx  ,…

Q: Express the area of the entire rectangle. Your answer should be a polynomial in standard form. 0…

A: The figure is given by To evaluate: The area of the entire rectangle. Formula Used: The area of the…

Q: Show that A and B are not similar matrices. 3 -1 A = [ 23² ||- • - [ 22 -] ] B = -3 6 -4 9 Since A…

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Q: Subtract the rational expressions. x² 8x x²-64 x²-64

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Q: A research group using hospital records developed an approximate mathematical model relating…

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Q: If f(x) = 4x-1 and g(x)=2x-4, what is (fog)(x)? A (fog)(x)=8r - 17 B ww (fog)=8x²-18x +4 c (fog)(x)…

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Q: Suppose P is a point on the unit circle in Quadrant IV. Find the missing coordinate of the point. P…

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Q: lve the equation by the square root property. 3(x+3)² = 54 he solution set is) Type an exact answer,…

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Q: Joe's den is 2 feet longer than it is wide. If the den's area is 224 square feet, what are the…

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Q: Find f'(x). f(x) = 3 In (1+3x²)

A: f(x) = 3ln(1+3x2 ) this is function given we have to find derivative of this function here ln given…

Q: Suppose 85%85% of students chose to study German their sophomore year, and that meant that there…

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Q: Barry and Allen are moving and are no longer going to be roommates. They need to decide who will get…

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Q: Use the intermediate value theorem to show that the polynomial has a real zero between the x =1 and…

A: IVT theorem: Let f be a continuous function on [a,b] such that f(a)*f(b)<0 Then f has a root…

Q: Mrs. Callahan is building a new dog pen for her dog, Cooper. She has 24 feet of fencing to build the…

A: Total length= 24 feet.

Q: a chemist wants to mix a 22% acid solution with a 50% acid solution to get 28L of a 30% acid…

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Q: Determine the domain and the range of the piecewise function shown to the right. Then write an…

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Q: The balance on a $6000 loan is reduced by each monthly payment. If the payment is $250 per month,…

A: 1. given  balance = 6000-250m                                   where  m is number of months the…

Q: Formally prove that if NP ≠ co-NP, then P ≠ NP. Show all your steps.

A: Solution: It is maybe easier to consider the contrapositive, that is P=NP  ⇒NP=coNP. So assume P=NP,…

Q: Find the value of the function for the given value of x. ​f(x)=−−x​, for x=3.4

A: Given Data : We have given a function f(x)=--x.   Required : We have to find the value of the given…

Q: Find f'(x). f(x) = 9x³ (x² − 9) f'(x) =

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Q: K Use the graph to determine the domain and range of the function. Select the correct choice below…

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Q: ) The ticket prices for a concert are shown in the following table. Price (in Australian dollars, S)…

A: Given Data : Adult Tickets costs $15 Child Tickets costs $10 Students Tickets costs $12. Total…

Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: What is the vertex of the graph of the function below? f(x) = x² - 4x O a O b O C O d (2,4) (0, 0)…

A: Option D is true

Q: Find the quotient and remainder using long division.  (2x5 − 7x4 − 11) / (4x2 − 6x + 8)

A: solution:-4x2-6x+812x3-x2-52x-742x5-7x4-11-(2x5-3x4+4x3)…

Q: Find g'(x) if g(x) g'(x) = = 9x e 6x

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Q: at which has a relative maximum. what are these relative maxima? numbers, if any, at which f has a…

A: Topic:- function

Q: Consider the following. lim x10/x x-0+ (a) Describe the type of indeterminate form (if any) that is…

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Q: TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold.…

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Q: Expert Solution Step 1 We can solve this as follows: Step 2 We have, f(x)= 8x and g(x) = x+6We need…

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Q: If Mato has 15 quarters and nickels in his pocket, and they have a combined value of 215 cents, how…

A: Topic:- algebra

Q: start with the graph of f(x) =4^x. Then write a function that results from the given transformation…

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Q: (~p^r) V (q^~r) a T TTF T F LL TFT F LL LL TT F F F F T T F T LL F F LL TF

A: NOTE: I have taken a blank table because the given format is in the form of an image that can not be…

Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

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Q: A fish in the Bering Sea known as the threaded sculpin has been found to grow according to a limited…

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Q: 9. A sequence of six shapes repeats to form the following pattern: ΟΠΟΣ ΟΔΟΠΟ ΣΟΔ What is the 55th…

A: Given: Number of shapes=6 1-circle 2-rectangle 3-pentagon 4-star 5-octagon 6-triangle

Q: AY 28 14 -5 -4 -3 -2 -1 -14 +21 -28 1 2 3 4 5

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Q: A pebble is tossed into the air from the top of a cliff. The height of the pebble over time is…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Find f'(x). f(x)=e7x f'(x) =

A: To find the derivative.

Q: An equation of a line through (-1, 4) which is perpendicular to the line y = and y-intercept at: 4x…

A: To find slope & y-intercept

Q: Identify the placement of centroid w/ respect to the stated axes. y 2m 2m

A: Assume a vertical strip parallel to the y axis at a distance x with thickness dx having length y So…

Q: Sketch the graph of the function f(x) with the given details below. vertical asymptotes: x = -1, x =…

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Q: Solve the inequality. (Enter your answer using interval notation.) (3x + 5)/(x2 + 2x − 35) ≥ 0

A: Given data ÷ Solve the inequality. (3x + 5)/(x2 + 2x − 35) ≥ 0 To find the solution we need to find…

Q: A furniture shop refinishes tables. Employees use two methods to refinish tables. Method I takes 2.0…

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