### Equation of a line: Two problems

Write the equation of the line in BOTH point-slope and slope-intercept form. a) Slope= 4, passing through (1,3) b) Slope= -5, passing through (-4,-1)

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Write the equation of the line in BOTH point-slope and slope-intercept form. a) Slope= 4, passing through (1,3) b) Slope= -5, passing through (-4,-1)

Please see the attached file for the fully formatted problems. Let S = {-1, 0, 2, 4, 7}. Find if i) ii) iii) iv)

A. Simplify B. Solve for x C. Find the x-intercepts of the graph of D. Name the x - and y - intercepts of 7x + 3y = 21 E. A contractor charges a customer $182, listing $56 for materials and the rest for labor. If the contractor charged 3 hours labor, what is the hourly rate for labor?

11. Match the graph with one of the equations. a) y = x b) y = 3x c) y = d) y = x + 3 14. A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production

Write an eq. of the line tangent to the curve y = (5/x2) - (2/x3) at the point P(-1,7)? Express in ax+by=c form.

Quadratic and Rational Inequalities Please see the attached file for the fully formatted problems.

Please see the attached file for the fully formatted problems. Given: and and is measurable and is a null set. 1) is zero except on the null set, true of false? 2) where is a null set, true or false? I have been told that both 1 and 2 are true, but I don't understand why. Since the set {x: f(x)=g(x)} is null,

Please assist with the attached problem. y = -1/4x^2 + x - 6 Identify the vertex and four additional points on each side of the vertex

Graph the parabola. y=-8x^2 - 8x - 19 Identify and plot the vertex and four additional points, two on each side of the vertex

Please see the attached file for the fully formatted problems. A. Graph B. Graph C. The domain of the graph at below is D. The graph at right, represents a function a. True b. False

Determine the correct half-plane in each case, and complete the graph. 8. y > 3 Graph each of the following inequalities. 16. 4x + y 4 28. 3x - 4y < 12 38. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins

Please assist with the attached file.

Y = x^2 + x - 6

y = (x+3)^2 - 2 Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.

Quadratic Equations Solving an equation with exponent using the even-root property. Solve (w + 5)^2 - 36 = 0 where x is a real number. Simplify the answer as much as possible.

Find the length of the graph of y=1/3(x^3/2-x^1/2 from (1,-2/3) to (4,2/3)

Find the polar coordinates of the following point. 4). ( -sqrt(3) /2 , 1 ) A). ( 2, 5pi/6 ) B). ( 2, pi/6 ) C).

Please see attached file.

16. Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4). 20. on page 626 27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (_3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to

28. x + y = 18 24. 3x _ 4y _ 12 (0, ) (0, ), , ( , 0), 26. y=2x + 5 (0, ), ( , 5),( ), ( , 1) 28. x + y = 18 Give the coordinates of the points graphed below ( I couldn't load the graph, but it wanted o show the points) 2. B 4. D 23.Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given gr

See attached file for system. Using the bilinear transformation and Routh's Stability Criterion find the range of value of the gain for the system remains stable. Any help is very much appreciated.

The labor cost in dollars for manufacturing a precision camera can be approximated by f(x,y)=3/2x^2+y^2-2x-2y-2xy+68 Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor

1) The graph of x - 2y = 2 is: 2) What is the slope to the response in question #1?

The graph of the solution to 3x - 1 > 5 or 2 < x - 1 is, also please show brackets and parentheses in answer when applicable.

The graph of 3 < x ≤ 5 is, also please show appropriate parentheses and bracket symbol if applicable in answer.

The graph of the solution to -4x + 2 < -2x is, please show graph.

If P 9(x) = 3x⁴ - 2x³ - x² + 1, then P(-2) =

Determine the value of k that will make the given equation have exactly one rational solution: 2x^2 = kx - 2

Work out which value of k can make it so that the following equation has just one rational solution: 5x^2 + kx + 5 = 0

Consider the forward-loop transfer function in the sampled-data system as: (a) Determine the corresponding z -transform G(z) and the characteristic equation for this system. (b) Using the bilinear transformation and Routh's Stability Criterion, determine the range of K for stability when the sampling time T = 0.25 s. (c) C