Determine the vertex, focus, and directrix for the parabola y = -2(x + 7)². The vertex is (-7,0). (Simplify your answer. Type an ordered pair.) The focus is (Simplify your answer. Type an ordered pair.) The directrix is y=- (Simplify your answer.)

Q: The equation 3x² + 18x + 1 = 0 has two solutions A and B where A< B

A:

Q: Shawn has $15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and…

A:

Q: . Sketch the graphs of these three quadratic relations on the same set of axes. Y=(x-9)^2…

A: The given three quadratic equations are: Y=x-92Y=x+22Y=x-52 To sketch the graphs of these three…

Q: Find the value of the function for the given value of x f(x) = - [[ - x ]], for x =2.5

A: Given query is to find the value of the function.

Q: Question 20 A person standing close to the edge on top of a 48-foot building throws a ball…

A:

Q: We have a function g(x) defined for all numbers and the only things we know about it is that the…

A:

Q: Are these functions inverses of each other? f(x)=x-3 and g(x) = − 3x + 1 Be sure to explain how you…

A: We need to find  out that the given functions are inverses of each other or not.

Q: when solving {6x-2y=6 and y=6x-4 by the substitution method, x=1/3 is obtained. Find the solution…

A: To find out the solution set.

Q: James invested $34,600 at 19% to be compounded monthly. What will be the value of James's investment…

A:

Q: 2 -3 14] Find bases of the kernel and image of A (or the linear transformation T(x) = Ax). Let A =…

A:

Q: Solve the following problem. n = 18; /= 0.029; PMT= $144; PV = ? PV=S (Round to two decimal places.)

A: Given query is to find PV (present value ).

Q: Question 19 Indicate the value for the right-hand column. Be sure to list a constant of appropriate…

A: Our Aim is to solve the following expression:-"1"+2+3+"4"+5*6+"7"+(8+9)

Q: Evaluate (-1 + i)¹/3. Express all of the roots in polar form and plot them on an Argand Plane.

A: Given (-1+i)1/3

Q: 6. Find the inverse of each matrix. (Hint: One of them you procedure) a) A = [$ 5 -2 -9 4 [1 -7]

A:

Q: Solve the given equation over the real numbers. Present exact value(s). If there are more than one…

A: Given the equation:- (3P-1)2=-15

Q: Let C and D be vector spaces and T: C→ Da linear transformation. Which one of the following is the…

A:

Q: Does the function y=-²-4x-2 have a maximum or a minimum value? O Maximum value Minimum value Find…

A:

Q: Let =(4,-10) and = (16,18) Then proj= and perp help (vectors) You might want to draw a triangle…

A: NOTE: Refresh your page if you can't see any equations. . .

Q: Suppose the sales of a particuler brad of applicane are modeled by the linear function S(x) = 230x +…

A: Given that S(x) =230x+5200 represents the sales of appliances  in the year x. Also, 2010 would be…

Q: Write an equation (a) in slope- intercept form and  (b) in standard form of the line passing through…

A: Given 1. Line is parallel to line x+3y+7=0. 2. Line is passing through point (-2, 5).

Q: 7 The equation of a line is y = x + 2. 8 (a) What is the slope of a line parallel to it? (b) What is…

A: Given: y=78x+2 We know that two parallel lines have equal slope.

Q: Let A = {square, circle, triangle}, B = {hexagon, pentagon} and C = {circle, decagon, pentagon,…

A:

Q: Find the unit price of each of the following items. Round your answer to the nearest tenth. sliced…

A: We have to find the unit price

Q: Let M 3 7 8 149 -1 1 and u = H 4 and define T: R³ → R² by T(x) = = 42 Mx. Find T(u).

A: Given that M=3781-11 and u=241 and T:ℝ3→ℝ2 by Tx=Mx. We have to find the value of Tu

Q: 4. (Optional) Which inequality sign should we place in between? Why? 3996 - 3995 3 ? 3994

A: The given expression 3996-39953?3994 We have to find the inequality sign for the expression.

Q: Use the exponential decay​ model, A=A0ekt​, to solve the following. The​ half-life of a certain…

A: Given that half life of the substance is 17 years.

Q: The graph of the quadratic function y=9.25x2−13 crosses the y-axis at point D. Determine the unknown…

A: Graph and y intercept

Q: Subtract. (-9-7i)-(-8-7i) (-9-7i)-(-8-7i) = (Simplify your answer. Type your answer in the form a +…

A:

Q: 3.5-4 6 0 6-2 L4 0 8 0

A:

Q: For the equation y = 5-5x, answer parts (a) and (b). (a) State the x- and y-intercepts (b) Use the…

A: Given, y=5-5x

Q: Write an equation of the line passing through the given points. (4.-5) and (1.4)

A:

Q: A furniture company makes book shelves and desks. Each shelf requires 2 hours for carpentry work and…

A: NOTE: Refresh your page if you can't see any equations. . x=number of shelves  y=number of desks

Q: Find the value(s) of the variable for which the rational expression is undefined. 9-7x 2x ▪▪▪ Select…

A:

Q: m-1 * If Σ (8k + 5) = 4m² + m − 5, then which of the following is equal to the - k=1 simplification…

A:

Q: the procedure for solving variation problems to solve the exercise. y varies jointly as a and b and…

A: Topic:- algebra

Q: Solve the following equation. For equations with real solutions, support your answer graphically.…

A:

Q: Find an equation for the line parallel to 3y 27x27 and goes through the point (-2, 10). Write your…

A: Solution:

Q: ← Perform the indicated operation. 9x-1 1-9y x-y y-x 9x-1 1-9y X-y y-x + (Simplify your answer.)

A:

Q: Consider the following system of equations: 3x + 3y + 2w = 0 y-z=0 3x + 5y2z+ 2w = 0 If the system…

A: Given system 3x+3y+2w=0y-z=03x+5y-2z+2w=0

Q: Find the following product and write the result in standard form, a + b i. (-1+9i)(7+ i) (-1+9 i)(7…

A:

Q: 125 tickets were sold for the jazz band concert for a total of $1,022. Student tickets cost $6 each…

A:

Q: Q. B) Please answer this question. From the characteristic below, write an equation for each sine…

A:

Q: 0 = 8 - (1200 / x^2) solve for 0

A: Given query is to find the value of x.

Q: > Next question The radius of a car wheel is 14.5 inches. If the car is traveling 52 miles per hour,…

A:

Q: Maps Wishful Dreamer .... omework i Ace Hardware sells Ace Hardware sells Saved A local Ace Hardware…

A:

Q: A snowboarder's elevation, in feet, can be represented by the function E(t)=3000 -70t, where t is in…

A: A snowboarder's elevation, in feet, can be represented by the function E(t)=3000 -70t, where t is in…

Q: In 2010 your car was worth $10,500. In 2012 your car was worth $8,500. a. Suppose the value of your…

A: let t = 0 for 2010 sofor 2012 t will be equal to 2 and so on so define two points where x = time…

Q: Question Solve this system by using 9y = -82 9y-5 4x 7x

A: Let's solve given two linear equations by using Matrix operation.

Q: WAMAP The following is data for the first and second Quiz scores for 8 students in a class. First…

A:

Q: xtɛx x fal

A: The given function is  f(x)=xx3+x