y = -x² – 2 %3D

Q: Find a parabola with equation y = ax2 + bx + c that has slope 11 at x = 1, slope -25 at x = -1, and…

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Q: Perpendicular with y= -1/2x and passes through (2,5)

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Q: Find an equation for the line perpendicular to 4x + 28y = 84 and goes through the point (– 10, 8).…

A: 4x+28y=8428y=84-4xy=-4x28+8428y=-17x+3slope of the above line is -17Then slope of its perpendicular…

Q: Where does the line x = 1 + 3t, y = 2−t intersect (a) the x-axis (b) the y-axis (c) the parabola y =…

A: Parametric equations are a set of equations where 2 or more variables are dependent on one single…

Q: In the graph to the right, the equation of the parabola is x = (y-2)2 and the equation of the line…

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Q: Find the point on the line y = 2x + 8 that is closest to the origin.

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Q: What is the greatest possible value of the y-coordinate? (x−3)2 +(y+4)2 = 36

A: The given expression is

Q: Find an equation for the line that passes through the points of intersection of the graphs of y = x²…

A: we have given equations of graphs y=x2+2x and y=-x2 At first we will find the point of intersection…

Q: many pounds each of French and Viennese blend can she make so as to have no waste? *5. Find the…

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Q: Use the fact that 14 gallons is approximately the same amount as 53 liters to find a mathematical…

A: Given an amount of a quantity in one unit is equal to some amount of the quantity in another unit, a…

Q: Where does the graph of the line y = x-2 intersect the x-axis? OA (0, 2) O B. (2,0) O C. (0,-2) D.…

A: Given that:- The line y = x-2 To find:- At which the point does the straight line intersect x-axis?…

Q: A large cone-shaped funnel has the property that its radius, r, is twice its height,h.  write an…

A: We can make it easier for you

Q: Write an equation of the line that is perpendicular to the l I'm be 3y-4x=9 and passes through the…

A: Given: 3y-4x=9  and point -2,1

Q: A. y = x + 3 B. y = 0.5x? – 2 | C. y = 3(x + 2) D. y = -2x + 1

A: We know that the general equation of parabola is , y - k = a ( x - h )2

Q: Q2) Find the equation for the line that passes through the point (1,0) and parallel to the line 2x +…

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Q: The height of a body moving vertically is given by s = - gt2/2 + y0 t + s0, g>0, with s in meters…

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Q: The line y = 2x – 3 (blue, dashed) intersects the curve y = 6x – 9x? – 4x + c (red, solid) when x =…

A: From graph line interested curve two times one point when x = 1 and other point we need to calculate…

Q: a. Find an equation for the surface area of the rectangular box. S(x, y) Preview dy when x = dx b.…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the 1st…

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Q: Find the point on the line −5x+2y+6=0 which is closest to the point (0,−1). Answer =

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Q: SOve the equation: a0y*-ly-1=0 %3D

A: If ay2+by+c=0 then y=-b±b2-4ac2a .

Q: Find the point on the parabola x=t, y = t2, - 0 <t< oo, closest to the point - 16,5. The point on…

A: Any point on the parabola is of the form (t, t2) Distance between (t,t2) and (-16 , 1/2) is:

Q: The region in the first quadrant bounded above by the parabola y = x², below by the x-axis and the…

A: Aa per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Find the point on the line y = 5x + 3 that is closest to the origin.

A: *to find:- shortest distance point coordiantes from origin.

Q: Find an equation for the line below. D=0

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Q: Find the point on the line y = 2x that is closest to the point (5, 2).

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Q: In the general equation y = acos 0, the amount of vertical stretch or compression is determined by a…

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Q: Use a graphing device to approximate to two decimal places, the value of x where the graphs of the…

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Q: You have a parabolic bowl in the shape of the equationz=x^2+y^2, from z= 0 to z= 10. If you left the…

A: Let the parabolic bowl is filled till some height, h in..  So, the volume of the water in the bowl…

Q: Match the end behavior with the equation

A: Answer

Q: Find an equation for the line below. D=0 DO

A: We are given the graph of a line and we are required to find the equation of the line.  From the…

Q: 3. h(x) =x- 6

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Q: h) The y-intercept if you graphed y = 2X (0.1) %3D

A: Given h) y=2x

Q: Approximate the solution(s) to x3 = x2 - 5 using a graphing utility.

A: We have to approximate the solution(s) to x3=x2-5 using the graphing utility .

Q: the growth of bacteria is modeled by the equation Y = 2^ x/3. For which value of x is y = 32 ?

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Q: Find the point on the line y=3x-10 that is closest to the origin.

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Q: Q3// Does the parabola y = 2x2 13x + 5 have a tangent whose slope is (-1)? %3D If so, find tangent…

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Q: Find the point on the line y = 5x + 4 that is closest to the origin. (х, у) %3

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Q: Find the point on the line 3x-4y-1=0 which are at a distance of 5 units from the point (3,2)

A: To Find: The point on the line 3x-4y-1=0 which are at a distance of 5 units from 3,2. Concept:…

Q: Find the point on the line 2x+4y+1=0 which is closest to the point (-4,2).

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Q: The area of the region below the parabola y = 9- x² and above the x-axis is a. 12 b. 24 с. 36 d. 48…

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Q: A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during a…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: The yield in bushels from a grove of orange trees is given by Y = x(1200 - x), where x is the number…

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Q: Find the point on the line y= 7x + 2 that is closest to the origin.

A: Given,           The line y=7x+2 that is closest to the origin.

Q: Find the point of the line y = 2x − 1 that is closest to the origin.

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Q: Find the x-intercept(s) and the coordinates of the yertex for the parabola y =x´ +4x+4. If there is…

A: The given parabola is: y=x2+4x+4 To find the x-intercept and the coordinate of the vertex for the…

Q: Describe verbally how to solve y=mx+c. What assumptions have you made about the value?

A: To find- Describe verbally how to solve y = mx + c. What assumptions have you made about the value?

Q: Find the point on the line  y = 5x + 2  that is closest to the origin.

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Q: Find the r-intercept(s) and the coordinates of the vertex for the parabola y = -r-8z-16. %3D…

A: To find the x-intercept and coordinate of the vertex of parabola

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.