### Equation

I am trying to determine the vertex and intercepts for this quadratic function, and whether it opens up or down. y + x squared - 4

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I am trying to determine the vertex and intercepts for this quadratic function, and whether it opens up or down. y + x squared - 4

Solve the initial value problem. Please see attached for full question.

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I am trying to solve two solutions for this: root sign x squared - x - 4 = 4

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I am trying to solve an equation using the quadratic formula. v² + 8v + 6 = 0

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12) 2x-2y=13 3x + 4y= -15

Divide x^3 - 2x^2 - x - 6 by x - 3

With only the small valve open, all of the liquid can be drained from a large vat in 4 hours. With only the large valve open, all of the liquid can be drained in 2 hours. How long would it take to drain the vat with both valves open?

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Minimum cost problem: It cost a company C dollars per hour to operate its base base division. an analyst had determined that C is related to the number of base balls produced per hour, x, by the eqauation C = 0.009x^2 - 1.8^2 + 100. What number of balls per hour should be produced to minimize the cost per hour of manufacturing

In science, we calculate the displacement of an object (how far it travels) and the velocity of an object (how fast it is moving) using the Displacement Equation and the Velocity Equation: {see attachment} Where is the displacement of the object, measured in meters t is the amount of time that we analyze the movement of t

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1. Draw the graph of the equation and label its vertex: y = x^2-3 2. Draw the graph of the equation and label its vertex: y = -4x^2 + 8x + 13

Diana Huntington owns municipal bonds valued at $14,500, which is 12% of her total investments. What is the value of her total investments? Round to the nearest dollar. (A) $174,000 (B) $1,208 (C) $120,833 (D) $1,740 12 invitations were sent to Mary's friends. Four were sen

As Jack finished a section of the novel he was reading, his wife posed a curious question: "Dear, suppose you took the page numbers of the section you just read and added them together. What would you get? Jack summed them rather hastily and said, "Well, I may have to double-check my arithmetic. It's either 412 or 512, I'm not

On the medical insurance policy (such as BCBS), the policy holder may need to make co-payments for percriptions drugs, office visits, and proceduares until total of all co-payments reaches a specific amount. Suppose on the Gattelaro's medical policy that the co-payment for the percription drug is 50% of the cost; the co-payment

A building block has the dimensions height Xcm, width (3+X) cm, depth Xcm What espression, in terms of x, would represent the total surface area (A) of the block? Put the expression into the simplest terms. Draw a graph, estimate a value for x, which will give a surface area of 175.5 cm squared. Check your extimate of

Ryan starts jogging home at the rate of 6km/hr. After reaching Harbor Front, he begins jogging back home. Because of fatigue, his speed for the return trip decreases to 4.5km/h and takes 1 hour longer. Determine the total distance that Ryan jogged.

Thea area of triangle ABC is 64 sq. in. DE is parallel to FG is parallel HK is parallel to BC. AD=DF=FH=HB Find the area of the Quadrialateral FGKH.