Find the focus and directrix of the parabola with the given equation. Then graph the parabola. y² = 16x The focus is (Type an ordered pair.). dal dal Ay 24- 20 -20- Q Q

Q: Find the x-and y- intercepts of the graph of the quadratic function. f(x)=x2+2x+1

A: x-intercept is point where y is zeroy-intercept is a point where x is zero given  f(x)=x2+2x+1

Q: Describe how the graph of h(x) = -2x + 4 can be obtained from one of the basic graphs. Then graph…

A: Solution : Given data, h(x)= -2x+4

Q: On the map (right), the length of each east-west 1 block is mile and the length of each north-south…

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Q: How can you choose values for x when making a table of values representing a real world situation?…

A: In various cases in real world situations, We often choose variable x to represent a particular…

Q: Find the equation of the line given two points. 1.) (3, 3) and (2,1) 2.) (5, 1) and (2,4) 3.) (0,0)…

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Q: find the distance between the points 6, 7 10 0 8 -2

A: Given query is to find the distance between the points.

Q: 4 -99 -4 Find vectors v, w such that the set {u, v, w} is an orthogonal basis for R³. 0 Let u =

A: The given vector u=4-40, we have to find the vectors v, w such that the set u, v, w is an orthogonal…

Q: Use the square roots property to solve the quadratic equation (x + 2)2 + 13 = 22. If there are…

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Q: Use log, 3~0.548, log, 5~0.818, and log, 7~0.971 to approximate the value of the given logarithm to…

A: we know that  loga.b=loga+logbgiven   logb3≈0.548logb7≈0.971

Q: Write an equation of an ellipse with the center (3,-3), and with a vertical major axis of length 10,…

A: NOTE: Refresh your page if you can't see any equations. . the length of the vertical major axis is…

Q: C. Solve the following linear inequalities and present the solution sets using the number line and…

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Q: If Mr. Brown and his son together found 22 found leaf clovers, and Mr. Brown found 10 times as many…

A: Let Mr. Brown has x leaf clovers and his son has y leaf clovers.

Q: Find the equation of the line in slope-intercept form passing through (6,-3) and (-9,-1).

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Q: Compute the "best fit" plane containing the following points: (4, 0, -2) (2, 1, -3) (-3, 1, 4)…

A: Let's say the x, y, and z coordinates of the normal vector are, a, b, and c respectively. Then the…

Q: Find the slope of the line. (If an answer is undefined, enter UNDEFINED.) -2x + 6y = 7

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Q: A. Solve each quadratic equation. 1) x⁹-9=0 2) 25y281 = 0 3) (2t-3)² 16 = 0 4) 3(5m + 1)² - 27 = 0

A: We have to solve each quadratic equation

Q: 4.5.5 Wrap-Up: Error Analysis The key features and the interpretations given for the context have…

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Q: Find all angles t, where 0 ≤ t < 2π, that satisfy the given condition. (Enter cos(t) = 1/2 t = Deck…

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Q: What is the solution to the system of equations y = x² - 2 and y = -2? (0, -2) (3,1) (2,1)

A: given  y=x2-2   and y=-2put in y=-2 in  y=x2-2

Q: Evaluate the function g√7) given that g(x) = log g(+√7) ? g(47) = (Type an integer or a fraction.)…

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Q: 4) ► The cost (in dollars) of producing "x" units of a certain product is given by C(x) = 2x³ 4x² −…

A: Given: Cx=2x3-4x2-128x+756

Q: C. State whether or not the following relations are functions. Also, give their domain and range. 1)…

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Q: I shouldn't have to waste a question on this but I asked for them to WRITE it and NOT to TYPE IT. So…

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Q: Write

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Q: The Questions Question 5. A water tank A, has 400 I of water in it. A Hose is attached to the tank…

A: Volume

Q: s 121,793 peopl

A: Let, x be the number of years since 2000. y be the population. Given: x1 = 8 and y1 = 121,793 x2 =…

Q: (a) Write the general solution. (b) Find three individual solutions. 2y = 10-6x 30x = 50-10y

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Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: Given The graph of the equation is y = x2 + 2x − 6   We are required to find the  Coordinates of the…

Q: Factor 16t^2+40t-96

A: Given query is to find the factors.

Q: dL dt k(39-L(t)) with L(0) = 5 (a) Solve the differential equation. (b) Use your solution in (a) to…

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Q: A business sells items according to the following Cost and Revenue functions: C(x)=10x+5300…

A: Given, C(x)=10x+5300 R(x)=−1x2+350x

Q: Solve the following system of equations algebraically: y = x² - 12x + 22 y = x 8 Two solutions…

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Q: Determine how many years it will take for a $1,000 investment to triple if the interest rate is 9.5%…

A: formula for compound quarterly is  A=P(1+R400)4N where A is total amount P is principal amount R is…

Q: Find the equilibrium point of the demand and supply equations. The equilibrium point is the price p…

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Q: X/-2 y Th 141-8T-12 -113 셔틀 7 - 12/2-11/1/1/3/20 ㅓ

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Q: Let f(x) = 2x² - x + 4, and a be a real number. Find the following: f(1) f(-1) 2f(a) f(2a) f(a²)…

A: Given: fx=2x2-x+4

Q: Draw the graph of the equation. 5x - 2y = 10

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Q: Sample Student Work: Ethan

A: Given

Q: Which of the following are power functions? 8z.z² I 4a - 8 Oy8 b²+b+8

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Q: Help

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Q: Given the function C(n) = 5n³ + 7n² +nº+n There are at most at most n-intercepts, and turning…

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Q: A sound has an intensity level of 10-8 watts per square meter. How many decibels is the sound?

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Q: Sketch the graph of f(x) = 5* - 4. Describe how the graph can be obtained from the graph of a basic…

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Q: The remaining mass of 40 grams of a radioactive element whose half life is 40 years is given by the…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft longer than the other.…

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Q: Which system of inequalities represents the graph? O y ≤ 3x + 2 and y > -2x + 3 Oys x + 6 and y 3x…

A: We are required to find the set of inequations which satisfies the given feasible region shown on xy…

Q: The one-to-one functions g and h are defined as follows. g(x) = 3x + 13 h={(-7, 3), (0, 8), (7, 2),…

A: given   g(x)=3x+13h=(-7,3),(0,8),(7,2),(8,7),(9,1)

Q: An initial census taken in a small Asian country found the population to be 22.9 million. Ten years…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: Solve the equation by completing the square. 6r² +6r+12=0

A: NOTE: Refresh your page if you can't see any equations. . factor out 6  divide both sides by 6

Q: Find the indefinite integral and check the result by differentiating. Se2*(2)dx e2x (2)dx =

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