Find a quadratic function whose graph contains the points (1, -1), (3, 13), (5, 51). Write and solve a system of 3 linear equations in 3 variables, a, b, and c. Check by using the regression feature on the graphing calculator.

Q: Find the solution to the linear system of

A: The given linear system of a differential equation is  x'=-37x+120yy'=-12x+39y Also, the initial…

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A: given 6 defective balls are produced in lot of 20011 defective balls are produced in lot of 375.

Q: A chemist needs to mix a solution that is 34% acid with one that is 4% acid to obtain 100…

A:

Q: Find an equation of the line containing the given pair of points. (-5,0) and (0,6)

A:

Q: Find an equation for the line that passes through the points (-5,-4) and (-1, 2). D=0

A: Line passes through  (-5,-4) and (-1,2)  (x1,y1) and (x2,y2)

Q: Find the equation for the linear function that passes through the pointy(-4,-9) and (8,6)

A: We can find the equation of linear function as below.

Q: Find the point on X-axis which is equidistant from (2,-5) and (-2,9)

A: Let coordinate P(x,y) is equidistant from Q(2,-5) & R(-2,9) distance of point from (x1,y1) to…

Q: Find the solution of the linear System by esing Al; X, +2X2+3X3 - 5

A: The system of equation can be written as;Ax=BA=123253108 , x=x1x2x3 ,…

Q: 3x+24-2=3 ーZ -3x+2-22=3 2Z= 6x-38+z=D0

A:

Q: Solve the system of linear equations for x and y:

A: Given data:     The first equation is: (cos θ)x+(sin θ)y=1. The second equation is : (-sin θ)x+(cos…

Q: Use the answer from part (a) to solve the linear system

A: in question inverse of A is given also the matrix B is as below :

Q: Find the linear equation that is straight through the line (5,5) and parallel to the line 12x-6y=19?

A:

Q: Find a linear equation whose graph is the straight line with the given properties. through (0.5, 2)…

A: 4x-2y=18⇒2y=4x-18⇒y=2x-9 Now comparing with y=mx+c, we get m=slope=2 Therefore the slope required…

Q: Use a software program or a graphing utility to solve the system of linear equation.

A: Write the system of equation in the form of matrix. The augmented matrix can be reduced by…

Q: Find an equation for the points (-1 , 2) and (3 , -4)

A:

Q: Graph the system of two linear equations that have slopes - and and intersect at the point (-6, 5).

A:

Q: Use the method of substitution to solve the system.

A: Given that, 6x3-y3=1 ----(1)3x3+4y3=5 ----(2)

Q: Write an equation for the quadratic graph with the x intercepts (-2,0),(1,0) and y intercept (0,-1).…

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Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x2 – x3 = -38 — бх, — -3x - -…

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Q: Find an equation for the points (-4 , 4) and (2 , 6).

A:

Q: Write the equation of a line perpendicular to 4x-9y= -5 that passes through the point (-4,3)

A: If two lines are perpendicular then relation between their slope: m1.m2= -1   Given line,   4x-9y=…

Q: Write the system of linear equations 3 lx – 6y + 6z 2x + 6y – 4z 5x +3y – 9z %3D - -2 -2 %3D

A: Steps to follow: 1) The coefficients of the x-terms are written as the numbers down the first…

Q: Find a linear equation through the points (3,9) and (8.5).

A:

Q: Find a linear equation whose graph is the straight line with the g through (0.5, 4) and parallel to…

A: Equation of a line passing through (a, b) with slope m is y-a=m(x-b)

Q: . Find the equation of the line joining the points (4, 9) and (-1, 0)

A: we have to find equation of line joining two points 4,9 and -1,0.

Q: Write an equation of the line that is perpendicular to the 3y-4x=9 and passes through the point…

A:

Q: Find all solutions of the system of equations.

A:

Q: Find the coordinates of the point on the line 2x + y = 3 closest to the point (2, 2)

A: Given equation of line is  Let the point on the line be (x,y) Then, distance between points (x,y)…

Q: Find the equation (in terms of æ) of the line through the points (-3,-5) and (1,7)

A:

Q: Find the values of x1, x2, x3 in the system of Linear Equations 2x, – 6x, – x3 = -38 —3x, — х, + 7х,…

A: For easy understanding let x1 = ax2 = bx3 = c So the given equations are 2a-6b-c=-38  -3a-b+7c=-34…

Q: Write an equation for the line perpendicular to 2y-4x=-2 and that passes through the point (-6,0).

A: Solution of given question is written in below steps.

Q: Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa

A:

Q: what is a linear equation?

A: An equation having the highest exponent of variables as 1 is called linear equation.The standard…

Q: Find all solution(s) to the system of equations:

A:

Q: Find an equation of the line that passes through the points. (-4, 9), (1, 4) y=-1

A: Topic = Coordinate geometry

Q: Find an equation for the line that passes through the points (-5,-6)  and (1,2) .

A: Given : To determine the equation for the line that passes through the points (-5,-6) and (1,2).

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

A: Given query is to find equation of the line with the indicated property.

Q: Assume that the number of defective basketballs produced is related by a linear equation to the…

A: See the attachment

Q: How many solutions are there to the system of linear and quadratic functions graphed below?

A:

Q: Find an equation for the line that passes through the points (6,-4) and (-2,6)

A:

Q: Write a system of two quadratic equations that has solutions of (-3,-3) and (3,-3)

A: Solution:

Q: Find the equation of the line joining points (4,9) and (-2,0)

A: Consider the given information:

Q: Find the equation of the line joining the points (2, 6) and (-2, 0)

A: The given two points are (2, 6) and (-2, 0). Evaluate the slope of the required line as follows.…

Q: Find an equation for the line that passes through the points (6,-6) and (-4,-4)

A:

Q: Find the equation of the line through the points (-4,-9) and (2,3)

A: Equation of the line passing through the two points…

Q: Draw the graph of the linear equation

A: Given,              3x+4y-7z=K+8 and       K = 0.