Parabola has an equation of symmetry as x = 3,and it's optimal value is (-7) if the parabola passes through the point A (1,-5) . Write the equation of the related quadratic relation.

Q: Find the points of intersection of the graphs of the equations.                         x − y = −5…

A: From x-y=-5 we get y=x+5 Then we plug it in the other equation and find x.

Q: jetliner uses 3,600 gallons of fuel per hour while it is cruising, and there are 15,000 gallons of…

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Q: What is the equation of the line whose graph is parallel to the graph of 2x +y= 7 and passes through…

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Q: What are the points of intersection of the graphs of thefunctions f1x2 = - 3x + 2 and g1x2 = x2 - 2x…

A: f(x)=-3x+2 , g(x)=x2-2x-4

Q: Determine whether the graphs of the two are parallel.  y+5=4x 3x-y=-5

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Q: Write the equation for the graph of h(x). -1 -2 h(z) - - 21 h(z) - + 2] h(z) - |+2 h(x)--1지-2

A: Graph varify problem......

Q: A rectangular corral is to be built with a required area. If an existing fence is to be used as one…

A: Given, A rectangular corral is to be built with a required area. An existing fence is to be used as…

Q: Find the points of intersection of the graphs of the equations                             x2 + y2 =…

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Q: Write the equation for the graph. 5. 4- 2 -8 -7 -6 -5 -4 4. 1- (-1, =1) -2 (0, –2) -3 |(1, –4) -4 -5…

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Q: Find the equation of the locus of a point, the difference of whose distance from (-5,0) and (3,0) is…

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Q: Find the point of intersection of the graph of the equation x2+y2=1 -x+y=1

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Q: What is an equation of the line that passes through the points (−6,−5) and (−2,3)? Put your answer…

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Q: Pam walks along a road which can be modeled by the equation y 3x, where (0, 0) represents her…

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Q: Find an equation for the graph of the set of points whose distances from (3,0) and (-3,0) always add…

A: We have to find the equation for the set of points.

Q: Find the distance between A(2, -3) and the line L:3x - 4y + 2 = 0. Show your complete solution and…

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Q: Solve and graph (1) 5x - 212 3 * + 5 (2) 4(y +1) -7 2 -9 - 2 y (4) - P - 2) L.4 (3) - 2 < 4r -14 s 2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Write equation in vertex for : y=-a(x-h)^2+k

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Q: Find an equation of the line in the form ax+ by = c whose x-intercept is 30 and y-intercept is 6,…

A: The given form of equation of line is:ax+by=cThe x-intercept is 30The y-intercept is 6

Q: What is an equation of the line that passes through the point (-1,2) and is parallel to the graph of…

A: Explanation of the answer is as follows

Q: The graphs of y = -x+4 and y = 2x-8 intersect at the point (4,0). So, Jane says the solution of the…

A: Given that the graphs of y=-x+4 and y=2x-8 intersects at the point (4,0). And Jane says the solution…

Q: What is an equation of the line that passes through the points (4,8) and (1,-1) put your answer in a…

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Q: Which equation has a graph that is parallel to and has a y-intercept exactly 2 units away from the…

A: We have to find the equation of line

Q: Find the points of intersection of the graphs of the equations                          x = 3 − y2,…

A: We need to solve the two equations simultaneously to find the points of intersection of the graphs

Q: Sketch a graph of the linear equation. y = – 2x + 2 4- -5 -4 -3 -2 -1 --1 5 -2 -3

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Q: What is the relation of the graph of y= x² + 9x + 14 to a real-life situation – Area, Business, or…

A: Problem: You are an engineer building a suspension bridge. Your boss asked you to develop an…

Q: Find the points of intersection of the graphs of the equations.                        5x + 3y = −1…

A: The given equations are, 5x+3y=-1              ...... 1x-y=-5                  ...... 2 Multiply…

Q: Find the point of intersection of the graph of the equations. x2+y2=1 -x+y=1

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Q: The value of a piece of machinery depreciates linearly until it has been reduced to a value of zero.…

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Q: Find an equation for the graph of the set of points whose distances from (6,0) and (-6,0) always add…

A: Given points are 6,0 and -6,0 Then by the definition it represents an ellipse where the foci are…

Q: Find an equation for the graph of the set of points whose distances from (5,0) and (-5,0) always add…

A: Consider the given set of points (5,0) and -5,0. The objective of the problem is to find the…

Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4 |

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Q: The standard form of a quadratic relation whose equation in vertex form is y = - (x - 2)^2 + 9, may…

A: The solution is given as

Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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Q: What is an equation of the line that passes through the points (0,−7)and (−8,3)? Put your answer in…

A: we have to find the equation of the line which is Passing through two given points

Q: Find a linear equation whose graph is the straight line with the given properties. through (0.5, 8)…

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Q: Match the equation with its graph. 15x2 - 4y2 + 15z2 = -4

A: Graph: - A function graph or "graph of a function," i.e., a plot, is referred to as a "graph" in…

Q: The equation of the line through points P1​(1,3) and P2​(−2,1) is. Show your complete solution and…

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Q: Graph the functien Q1 y= 2 :-

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Q: Which is an equation with a degree of 4, zeros located at (−2,0), (−3,0) and (3,0) and a y-intercept…

A: Given zeroes (−2,0), (−3,0) and (3,0) assume another zero is ( a , 0 ) for degree 4 polynomial can…

Q: Determine the slope-intercept from of the line from the graph. Reproduce the graph in your solution!…

A: From graph, taking two points are (0,4) and (6.5,0) Slope m, = (0-4)/(6.5-0) = -4/6.5 = -8/13 Using…

Q: Find the points of intersection of the graphs of the equations                             x2 + y =…

A: Given equations are By subtracting second equation from first equation, we get

Q: Determine whether the graphs of 6x-2y= 2, y=3x-4, and y=4 are parallel?

A: I have appended the formula used in the solution part of the question.

Q: What is an equation of the line that passes through the points (4,−7)and (2,−1)? Put your answer in…

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Q: How will the graph of line v=-3x + 8 be affected if the 8 is changed to -3?

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Q: Find the points of intersection of the graphs of the equations                           x2 + y2 =…

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Q: Describe the shape of the graph of y=(x+2)(xto the power of 2-1) with regards to its intercepts

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Q: The graphs of y = x² – 5x – 4 and y = 8+3x – x² intersects at points in what quadrants?

A: From the given two equations substitute the value of y from the equation y=x2-5x-4 in the equation…

Q: Find the points of intersection of the graphs of the equations                           x + y = 8,…

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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.