Write the vertex form of a parabola that satisfies the conditions given. Then write the equation in the form y = ax² + bx+c. Vertex (4,1) and a = 2

Q: From a survey of the length of daffodil stems, a botanist created a histogram showing their size…

A: From a survey of the length of daffodil stems, a botanist created  a histogram showing their size…

Q: 45. Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give…

A: hx=x2+10

Q: Rearrange the formula to make v the subject. t = V = V-U a

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Q: In a class of 30 students, 9 have a brother and 17 have a sister. There are 7 students who have a…

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Q: Profit Selling Sweatshirts An equation can be written for a business to determine how much profit…

A: “Since you have posted multiple questions we will solve first three subparts for you. To get…

Q: If a person takes 4 hours to travel 80 miles and then decides to take another trip at the same…

A: If a person takes 4 hours to travel 80 miles and then decides to take another trip at the same…

Q: Solve △ABC if a = 3, c = 7, and C = 90 ̊. Round measures of sides to the nearest tenth and measures…

A: We know that the formula a/sinA=b/sinB=c/sinC

Q: Find the values of the six trigonometric functions for angle θ.

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Q: In a class of 30 students, 16 have a cat and 15 have a dog. There are 11 students who have a cat and…

A: Solving the problem

Q: What is the solution

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Q: 15. A table with 4 columns is filled with numbers in a certain pattern. The first five rows of the…

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Q: Solve the system using Cramer's Rule. x y + 5z = 26 -2x + 3y + 6z = 24 -6x - 5y + 4z = 58 Find the…

A: Solving the problem

Q: Specify the domain for f¹(x) f-¹(x) = Domain of f¹(x) using interval notation:

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Q: Use the multiplication table below to divide the given numbers in the indicated base. 4 five 224…

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Q: and 3 green marbles. If three marb drawn out of the bag, what is the e probability that all three…

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Q: Find the indicated term of the given sequence. (Assume the sequence starts at  a1.  Simplify your…

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Q: The​ slope-intercept equation for the line with the given characteristics is what?

A: The slope of the line, m = -45 The point through which the line is passing, x0, y0 = -2, -3 To…

Q: If x2+y2=24 and x-y=3, then what is x ? If there are two possible answers, then enter the larger of…

A: We know that the formula (a+b)^2=a^2+2ab+b^2

Q: Example 7: Round to the nearest thousandth. In (es) = A. In B. In(1) = C. 25 In (e) in -

A: Formula  ln( x )y = yln( x )lne = 1

Q: Given the function f(x) shown, sketch the graph of f(x-2)

A: The transformation fx→fx-a can be obtained by shifting the graph of fx in horizontally right…

Q: What number is 253% of 2,500

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Q: 1. 2, 4, 6, 8,....... 1.1. Investigate how the pattern progresses to the next term(s). 1.2. Continue…

A: Note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Practice: Expand the following Logarithms 1) Expand log (²) 2) Expand log (√x) 3) Expand In V√x² 4)…

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Q: What is the resulting function from reflecting f(x)=√x over the y-axis? A B C D f(x)=√x-1 f(x)=√√√-x…

A: We need to find the resulting function from reflecting fx=x over the y axis

Q: A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

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Q: Select the correct answer from each drop-down menu. Consider this quotient. 3x²27x 2x² + 13x - 7 ÷ -…

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Q: 3. Robel is unsure of how many nights he will stay in Los Angeles. a) Write an equation that will…

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Q: The sequence is defined recursively. Write the first four terms. a₁ = -17; a n-ªn-1 ⒸA. a₁ = -17, a2…

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Q: In 2005 there were 1000 rabbits on an island. At this rate, the population grows at 8% what will be…

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Q: Question 1-) Find the general solution of the differential equation by using the method of…

A: According to question,Given differential equation,y''-3y'+2y=10 sin x

Q: . Which figure has the gr 9 cm A. B. 17 cm CAF 6 cm 15 cm 17 cm C

A: ( a ) Volume of cylinder = πr2h( b ) volume of cuboif = lbh( c ) Volume of cone = 13πr2h( d ) Volume…

Q: Determine whether each triangle should be solved by beginning with the Law of Sines or Law of…

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Q: Which person sold the most cars in the third quarter? Nadine Matthew Peter Ophelia

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Q: < The Family Arts Center charges $23 for adults, $16 for senior citizens, and $5 for children under…

A: We have to find the number of students attended that show.

Q: Three systems of linear equations are shown. For each system, choose the best description of its…

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Q: If there are an infinte number of solutions to the system J-10x + 4y = h 3x + ky = 8 then k and h

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Q: Draw v= [1] and w=[-2] and v+w and v-w in a single xy plane.

A: We need to draw vectors.

Q: State a possible equation of the polynomial shown in the graph. -3 W x

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Q: Determine whether the following relation represents y as a function of x. function not a function…

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Q: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression…

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Q: (ii) Use Cramer's rule to solve for %2 in the system of equations Hz = c where: -12 (3) C = Finally,…

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Q: 19. A furnace manufacturer wants to know how much of the metal surface area is giving off heat in…

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Q: Steps: 1) Set up an inequality showing argument is greater than zero. 2) Solve for x. 3) Write the…

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Q: Use the formula for the present value of an ordinary annuity or the amortization formula to solve…

A: Present value is given as  PV = PMT [ 1 - ( 1 + i )-ni ]  Given data  PV = $8000i = 0.02PMT = $500n…

Q: find the values of m and b.

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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%…

Q: Find a four-digit natural number that is divisible by 4 and not by 8. *** Choose the correct answer…

A: If a four digit number divisible by 4 then the last two digit divisible 4  And If a four digit…

Q: e 2 FCx) = x 4-4x³-32x² X³+2x²-24x

A:

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: Use the exponential graph below to answer the following questions 10+ P 8 7 6. ·10-9-8-7 -8 -3 -4 -3…

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