Solve the equation by completing the square. 19) x2 + 4x + 20 = 0 A) {-2 + 2/5) 19) %3D B) {-2 ± 4i} C) {2, -6} D) (2 + 4i}

Q: 1 A family knows two babysitters they can hire. One charges $12 an hour and th system of inequalitie...

A: Suppose family afford first babysitter in a week is x hours. and family afford second babysitter in ...

Q: Exercise 1.5 Solve the linear systems of equations given below 2 x1 + X1 + 2 x2 X1 + а) X2 + 2 x3 = ...

A:

Q: Which expression is equivalent to (4x ²y 2 + 6x 2y 3- 12x 3y 2)?

A:

Q: implies y = z. Prove that G is Abelian. Prove that a group G is Abelian if and only if (gh)-1 = g¬ P...

A:

Q: 9. The kilograms of rice remaining in the restaurant, R, after w weeks can be represented by R(w) = ...

A: Given:- The kilograms of rice remaining in the restaurant, R, after w weeks can be represented by R(...

Q: Water pressure is calculated using the following formula:      Pressure = height of water*Unit weig...

A: Given: Height of water (h)= 140 ft Unit weight of water (w) at 70°F =62.4 lbs/ft3    

Q: What is a negative 6

A: Topic:- number system

Q: There was a box of biscuits on the table. Arianne and Betty ate half of the biscuits. Then Charlie c...

A:

Q: 2. Each of the following statements are FALSE. Correct the statements to make a. If a system of equa...

A: Given problem:- Each of the following statements are FALSE. Correct the statements to make them inst...

Q: 3x-21 )Find the domain and range of the rational function w(x) = %3D 3x2 - 20x -7 A) Factor the nume...

A: Given query is to find the domain and range of the function.

Q: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.   f(x)=x−−√x+8, g(x)...

A: The objective is to find f(g(x)) and g(f(x)).

Q: Conversions Between US and Metric Systems Convert between the US and Metric measurements as indicate...

A: We will find the converted units. 

Q: Solve by the elimination method. 4x-8y 4 4x-8y 5 %3D %3D

A:

Q: Relation 1 Relation 2 Domain Range Domain Range -9 moon -1 -8 7 pencil 8. 9. star -8 desk -1 O Funct...

A: Given that: Relations 1, 2, 3, 4.

Q: Suppose the supply of x units of a certain product at price p dollars per unit is given by p = 13 +...

A:

Q: Activity 3: What is the Value? irection: Find the value of x by applying the properties of parailel ...

A: The given diagram is:

Q: If the mean of a given dataset is 131 and the standard deviation is 8, where will a majority of the ...

A: NOTE: Refresh your page if you can't see any equations. . here mean of the data set is and the stan...

Q: Let f(x)=4+3x and g (x)-x-3. Find each function value: (fg)(-1)

A: The functions are fx = 4+3x gx = x2-3 Formula Used: fgx = fx·gx To evaluate: The value of fg-1

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and ...

A: topic - quadratic equations

Q: Direction: Given the figure on the left, identify the: 1.4 pairs vertical angles 2. transversal line...

A: Geometrical angles and lines

Q: Find the vertex and write the quadratic function in vertex form (which our OpenStax textbook also ca...

A: The given function is  f(x)=x2-10x+74

Q: The following data show the lengths of boats moored in a marina. The data are ordered from smallest ...

A: We need to find mean, mode, median.

Q: Write the following numbers in a + bi form: (w) –3 (5) (a) –3 + i, (b) (5 – 4i) – (–3 – 5i) = + i, 3...

A:

Q: 1. Find [p]8, relative to the basis B = {p1, P2, P3} for P2 where p = 4 – 3x + x², p1 = 1, p2 = X, P...

A: Q1. p = 4 - 3x + x² = (4)p1 + (-3)p2 + (1)p3  So, [p]β = [4   -3   1] 

Q: Factor 3x^2+7x+2

A: SOLUTION-

Q: factor the polynomial completely  Q(x)=x^4-81  Q(x)=  find all its zeros. state the multiplicity ...

A:

Q: Determine f (x- 1) for the following function. f(x) = Vx- 5+9 %3D Answer f(x-1) =

A:

Q: 2( - 3x + 21) = 132 %3D

A: Topic = Algebra

Q: is , and its inverse is

A:

Q: Ashley has two equations that she found to be valuable models for her research. She thinks that if s...

A:

Q: The historical returns on a balanced portfolio have had an average return of 7% and a standard devia...

A:

Q: Can you do Q3 please

A: Given that x-2=5 Noah says that he can solve by using subtraction property of equality

Q: Suppose that the equation  N = 500(0.09)0.7t  represents the number of employees working t years af...

A: Given query is to find number of employees at the start and time taken to reach 100 employees.

Q: f H and K are two subgroups of a group G, then show that for any a, b ∈ G, either Ha ∩ Kb = ∅ or Ha ...

A: If H and K are two subgroups of a group G, then show that for any a, b ∈ G,either Ha ∩ Kb = ∅ or Ha ...

Q: а 8 3 a -5 2 5 -2 a find all values of a that make |A| = 0. Give your answer as a comma-separated li...

A:

Q: X = {x⍷U and x is a letter in MATHEMATICS

A:

Q: Let H be a subgroup of G such that x^2 ∈ H for all x ∈ G, then show that H is a normal subgroup of G...

A: H = {x² : x ∈ G} And, H < G  

Q: Make an activity with answer (atleast 3 items) about SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS...

A: We have to make an activity about simplifying expressions with rational exponents. Writing expressio...

Q: You sell your business for RM100 000 and wish to invest enough money with the rate of 8% compounded ...

A: NOTE: Refresh your page if you can't see any equations. . here we have PMT=1000 r=8%=0.08 n=12 for m...

Q: describes the amount, The 1983 explosion at a nuclear lab sent about 1000 kilograms of a radioactive...

A:

Q: For the transformation T : R³ → R³ where T(x1,x2, T3) = (3x1, 12, I1 – 12), (a) Determine whether T ...

A:

Q: Use an amortization table to solve the problem. Round to the nearest cent.  A bank makes a home mor...

A:

Q: Theorem 1: One-Step Subgroup Test Let G be a group and H a nonempty subset of G. If ab-1 is in H whe...

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Q: Find the least common multiple (LCM). 30 and 90 O A. 90 О В. 30 С. 180 D. 270

A:

Q: Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of...

A: Here we will find number of Nickels and number of Dimes,

Q: [W -X -W | X R = y W -X y Z y y

A: Let's find. 

Q: Find the roots of the equations: 1. 3z2 + 3z +1= 0 2. 2z2 + 2z + 3 = 0

A: Topic:- algebra

Q: fow many different license plates can be generated if the configuration of the first 4 characters ar...

A: Topic:-  algebra

Q: If the determinant of a 5×5 matrix A is det(A)=8, and the matrix C is obtained from A by swapping th...

A: The determinant of a 5×5 matrix A is detA = 8 Formula Used: detC = -detA To evaluate: The value of d...

Q: Find the minimum and maximum values for the function with the given domain interval. d(x) = Vx, give...

A: We can find the minimum and maximum values as below