Find the x-coordinate for the point of intersection by using f (z) = 2z + 6 g(z) = -3z +1

Q: 16) For the function: f(x) = 4x² +6x+1 A) Find the intercepts.

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Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: 2. Trace the curve x3 – 6x² + 11x – y = 6. -

A: Given curve is, x3-6x2+11x-y=6 That is, y=x3-6x2+11x-6 1) Domain and Range of given curve:    This…

Q: of

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Q: Determine the r- and y-intercepts for h(x) = 6x – 42. Solve -7x – 8y = 1 for y.

A: Given: (a) h(x)=6x-42(b) -7x-8y=1

Q: x and y-intercept o

A: We have, y2=x3-4x .............................(1)  for x-intercepts  put y=0

Q: What is the x intercept or 0's of -x^2+4x+3?

A: Given equation : - x2 + 4x + 3 Zeroes of given equation. - x2 + 4x + 3 = 0 Multiply by (-1)  x2  -…

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: Find the x-intercept and the y-inercept x-3y=-3

A: The y-intercept of the function is computed as follows.

Q: At what point does 7x+2y=28 intersect the x-axis?

A: Consider the equation,

Q: Approximate the solution(s) to x3-2x+2=0 using a graphing utility

A: x3-2x+2=0

Q: Find the zeros of the function. g(z) = 7z2 +21

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Q: solve for y in terms of t or x, as appropriate.

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Q: Find the x and y intercept(s) of y=x2+4x+3

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Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: Solve the Coout's linear wsuation by method. 2n, t0 x + X3 = 4 -3n, +4Xz -213 6.

A: To Determine :-  The linear equation by Crout's method . 2x1 + 0x2 + x3 =4-3x1 + 4x2 -2x3 =-3x1 +7x2…

Q: Find the point on the line -4x + 7y + 1 = 0 which is closest to the point (– 1, 3). %3D

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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: use Separation of Variables to find the general solution. y' + x2y = 0

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Q: Find the equation of a line which has y-intercept 4, and is parallel to the line 2x- 3y-7=0, Find…

A: Use equation of parallel line.

Q: Find axis of symmetry and vertex of y=x2+4x+3

A: given that y=(x^2)+4x+3 find axis of symmetry and vertex

Q: Determine the general solution: y' = x - 2y. *

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Q: Parallel to y = 3x + 7; x-intercept is 2

A: We know that two parallel lines have the same slope. In the general equation of a line, y=mx+c, m…

Q: As for the relationship: y= 4x^4 - 2x^2, it is symmetrical to: a.y-axis b.x-axis c.origin d.none

A: The given function y=4x4-2x2 This is an even function because it satisfies the expression: fx=f-x…

Q: Determine the x & y-intercept algebraically: 2x = 5 – 3y

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Q: To find the x-intercepts, let y be zero and solve for x. (0) x- 49x %3D 0 = x(x2 - 49) = x(x2 - 72)…

A: From the second step we see that

Q: y" – 6y' + 9y = :

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Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…

Q: An equation for the stretched y = x2 -1 vertically by a factor of 3.

A: If we have a function f(x) vertically stretched by a factor of 3 function is g(x): g(x) = 3f(x)

Q: Calculate the real values of x and y such that (x+y)3 is bigger than 8?

A: Given, x+y3>8

Q: Solve the equation 2x² – 3y² = 6 for y. Is y a func- tion of x?

A: Given equation is 2x2-3y2=6. To solve for y and  to determine whether y is function of x. Solution:…

Q: Find an equation for the contour of f(x, y) = 2x2y + 6x + 10 that goes through the point (2, -2).

A: We have to find an equation that is the contour of  f(x,y)=2x2y+6x+10      that goes through the…

Q: What is the axis of symmetry for f(x) = 2x² – 4x + 5? %3D Ox=-2 Ox = -1 Ox = 1 Ox= 2

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Q: The domain of f(x,y) = /36 – x² – y² is

A: Given: The function in two variables, fx, y=36-x2-y2.

Q: Solve for y in terms of x   7x+3y=2

A: We first subtract 7x from both sides    7x+3y=2 7x-7x+3y=2-7x 3y=2-7x

Q: Find the domain and range y=V! X - 3

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Q: Find all real solutions of the equation.

A: 3-x+2=1-x

Q: Find the root of the equation x'-4x - 9 = 0 between 2 and 3 using the secant method & = 0

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Q: Use the method of undetermined coefficients to find the particular solution y, y" – 4y" + 4y' = 2x –…

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Q: The points of inflection of y= xª – 12x³ + 48x² – 64x occurs at

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Q: Solve f(x)=2x2+7x-4 and select all of the solutions below. C%3D X=-4

A: Given: f(x)=2x2+7x-4

Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…

Q: Find the general solution for y' = y – xy³e-2x

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Q: С. The possible x and y intercepts of x+3 y=- x² +6x+9 O -3, попе,

A: Given y=x+3x2+6x+9

Q: I need to find the y intercept of g(x) = x² - 9x + 20

A: We have to find y intercept