Put the equation that is in general form: �=�2-8�+15into standard vertex form: �=(�-ℎ)2+�:

Q: 1 10² x 105 You should enter only the power (or negative power if appropriate) into the box below. 1…

A: The expression is given byTo determine: The expression of the given expression as a single power of…

Q: There are four consecutive integers. The sum of the first and fourth of these consecutive integers…

A: Let's call the four consecutive integers x, x + 1, x + 2, and x + 3.

Q: Choose the solution to the following system of three linear equations. *1 2x1 3x1 +2x4 x5 2x2 + x3…

A: The given system of equations

Q: The economy of a small island nation is based on two sectors, coal and steel. Production of a…

A: let's break down the problem step-by-step to find the correct output from the coal…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 5) and (-2, 1). 0…

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Q: 5) h(x) = (x + 1)³-3

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: For the function f(x,y,z) = 2 + 3xy4-42³, find fx, fy, and f₂.

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Q: brenda spent 45$ on 5 shirts. Each shirt cost the same amount. how much did each shirt cost?

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Q: 70. Bachelor's Degrees Earned. The exponential function D(t) = 347(1.024)' gives the number of…

A: The number of bachelor's degrees earned (in thousands) in the United States years after 1970 is…

Q: Match each equation with the correct solution. 4(x-2)+1=6x-5 *-=-=-2/20 √x-2+3=6 (3x-6)+2=22 a. X=-4…

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Q: 7. Higher Order Thinking The prices at Nolan's Novelties store are shown at the right. If 27 boxes…

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Q: x² + 21 can be written in the form of f(x) g(x) x²+4 + (x − 3)(x²+4) - x-3 The possible anwsers for…

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Q: The area of a square is calculated as 9x^2 + 42x + 49 square units . What is the length of one side…

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Q: LATAF

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Q: Exercise 9.1.9 Consider the set R of real numbers. Addition of real numbers is defined in the usual…

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Q: How to graph f(x)=|x+1|

A: To draw the graph of the following function.

Q: Use the graph of the function f shown to the right to answer parts (a)-(n). (b) Find f(12) and f(0).…

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Q: A 25 inch piece of steel is cut into three pieces so that the second piece is twice as long as the…

A: Given that, A  inch piece of steel is cut into three pieces.The second piece is twice as long as the…

Q: A principal amount $2600 is placed into a savings account with an APR of 2.55% simple interest for…

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Q: 7. Simplify: 0 8 7 O ㅇ 동 O 49 3/28 7 3 49

A: we need to simplify the given expression.

Q: The marginal cost of producing the xth box of CDs is given by 11-x/(x+1). The total cost to produce…

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Q: Use the formula for simple interest, I=Prt, to find the indicated quantity. I=$36; r=6%; t = 6…

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Q: CalJuice Company has decided to introduce three fruit juices made from blending two or more…

A: To determine the largest profit Caljuice company can achieve we need to set up a linear programming…

Q: Solve the inequality and graph the solution set on a number line. -1<3x-1≤8 The solution in interval…

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Q: 14. The art teacher has 30 with 16 crayons in ea the students 10 of the Explain how to find t…

A: The art teacher has 30 boxes of crayons with 16 crayons in each box. She gives the students 10 of…

Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,4), concave up…

A: At point (1,4) the graph is concave down, so it forms a downward facing curve near this point.

Q: Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (-1,2) on the graph…

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Q: Determine whether the graph below is that of a function by using the vertical-line test. If it is,…

A: To determine whether the graph below is a function by using the vertical-line test.If it is, then by…

Q: Find an equation of the ellipse having a major axis of length 8 and foci at (4, 0) and (4, -4). X ■…

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Q: Name all of the y-intercepts on the graph

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Q: Current Attempt in Progress Write the following power function in the form y = kx and give the…

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Q: -5

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Q: Identify the number of solutions of the polynomial lequation. Then find all solutions of the…

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Q: Listen Which of the following represents this equation in the form y=mx+b? A y=-2x+9 B y=-2x-15 C…

A: Given Linear Equation is as follows

Q: A cannon ball is launched into the air with an upward velocity of 313 feet per second, from a…

A: The objective of this question is to find out the time it takes for the cannon ball to reach a…

Q: Christa wants to invest $50,000 in a retirement fund. One investment offers 8% compounded quarterly.…

A: Here we have, P=50000r=8%=0.08n=4 for quarterly compoundt=1 yearThe compound interest formula is…

Q: In an EOQ problem, if the holding cost decreases by 50%, then the optimal order quantity would…

A: The formula for EOQ is given by Where:D = Demand rate (units per period)S = Ordering cost (cost per…

Q: You are working with a quadratic equation and construct the following gra 6- 5 -8-7-6-5-4-3 -2 1 -1…

A: Given: To Find:  To identify the vertex, y-intercept, x-intercept, axis of symmetry of the given…

Q: Find the x- and y-intercepts and graph each equation. 1)-2x-4=y Standard Form x-intercept Ax=C…

A: In this question, we will find the x- and y-intercept and graph of the equation.

Q: A movie theater has a seating capacity of 323. The theater charges $5.00 for children, $7.00 for…

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Q: Let L₁ be the line passing through the point P1₁=(-8, 9, 17) with direction vector ₁-[-3, 1, 3]T,…

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Q: The given contingency table lists the cross tabulation of whether adults, for whom answering the…

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Q: Given the system of equations: 2x - 3y - 9z = -23 x+3x=8 -3x+y-4z=-11 (a) Determine the type of…

A: Given System of Equations is as follows

Q: Exercise 9.2.4 (a) Write A = 13 0 0 as a linear combination of (49). 88 89 (80) (b) Show that the…

A: Given A is a matrix 1300

Q: For the function f(x) = 6e*, calculate the following function values: f(-3) = f(-1) = f(0) = f(1) =…

A: Given that,           ,

Q: the end behavior of the graph of the function. f(x) = −2(9)x − 4 As x → −∞,f(x) → . As x…

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Q: -15x+3y =12 solve for y

A: The given equation is

Q: Choose the sequence that is written in DECREASING order: A. 13 13 13 B. 27'25'16 C. 13 13 13…

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Q: Find the simple interest paid on a $420 loan at 7.9% annual interest for 7 months. Round your…

A: The simple interest formula Initial amountRate of interest Time in years

Q: Suppose $60,000 is invested into an account where interest is compounded quarterly. After 30 years…

A: Suppose $60,000 is invested into an account where interest is compounded quarterly.After 30 years…