Algebra Homework Help

Algebra Homework Help. Problem 1. Let m, n be nonnegative integers, and let ao, …, am and bo, …, bn be real numbers. Considerthe real-valued polynomial functionsmf (x) = do +Aajxig(x) = bo +Mbixij=1j=1You know from Calc

Problem 1. Let m, n be nonnegative integers, and let ao, …, am and bo, …, bn be real numbers. Considerthe real-valued polynomial functionsmf (x) = do +Aajxig(x) = bo +Mbixij=1j=1You know from Calculus I that the functions f and g are differentiable. Assume that m and n are theresult.degrees for f and g, respectively, and use what you know about derivatives to help prove the followingIf f (x) = g(x) for all real numbers x, then m = n, and a; = bi for 1 < j <m.

Algebra Homework Help

Algebra Homework Help

Principal Harris has decided to install lockers for each of the 550 students at High Tech High. The lockers are to be numbered 1 – 550. When High Tech High students return from summer vacation next ye

Principal Harris has decided to install lockers for each of the 550 students at High Tech High. The lockers are to be numbered 1 – 550. When High Tech High students return from summer vacation next year, they decide to celebrate the lockers by working off some energy. The first student goes to all the lockers and opens them. The second student goes to every second locker and shuts it. The third student goes to every third locker and changes the state of it (If it was open close it, if it was closed open it). This pattern continues all the way up to the 550th student. 

Answer the following questions:

1. Look at the first 10 lockers. After the first 10 students, which ones are still open? 

2. Now look at ALL of the lockers. After everybody has been marching around the school, which lockers are closed and which ones are open? 

3. If the students were not in order when they went marching, would the same lockers still be closed/open? 

Algebra Homework Help

Wendy is making greeting cards, which she will sell by the box at an arts fair. She paid $22 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $19 p

Wendy is making greeting cards, which she will sell by the box at an arts fair. She paid $22 for a booth at the fair, and the materials for each box of cards cost $8. She will sell the cards for $19 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How much will the sales and expenditures be? How many cards will that take?Wendy’s sales and expenditures will be $ if she sells boxes of cards of cards.

Algebra Homework Help

A small company is a selling a new board game, and they need to know how many to produce in the future After 12 months , they sold 4 thousand games , after 18 months they sold 7 thousand games , an

A small company is a selling a new board game, and they need to know how many to produce in the future 

After 12 months , they sold 4 thousand games , after 18 months they sold 7 thousand games , and after 36 months they sold 16 thousand games. 

Could this information be reasonably estimated using a single linear model ?

If so use the model to estimate the number of games sold after 48 months . If not explain your reasoning

Algebra Homework Help

1. Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image. 2. I

1. Identify the matrix transformation of ΔMNO, which has coordinates M(1, 3),N(5, 2), and O(3, −3), for a translation 2 units left and 4 units up. Then identify the correct vertices of the image.

2. Identify the matrix transformation of ΔXYZ, which has coordinates X(−2, −2),Y(4, 1), and Z(0, 6), for a dilation by a factor of 2.5. Then identify the correct vertices of the image.

3. Identify the matrix transformation of ΔFGH, which has coordinates F(0, −1),G(5, −1), and H(4, 3), for a dilation by a factor of 1/4. Then identify the correct vertices of the image.

4. Identify the matrix transformation of ΔKLM, which has coordinates K(−2, 3),L(−4, −2), and M(−3, 0), for reflection across the x-axis. Then identify the correct vertices of the image.

5.Identify the matrix transformation of ΔRST, which has coordinates R(−1, 1),S(2, −2), and T(−3, 3), for 90° rotation, clockwise. Then identify the correct vertices of the image.

Algebra Homework Help

Mr. Saldariega has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the garden to

Mr. Saldariega has a vacant lot in his backyard. He wants to make as many rectangular gardens as possible such that the length of each garden is 2 m longer than its width. He also wants the garden to have a maximum area of 48 m².

a. If we let w be the width, what is the expression of the length in terms of w based on the problem?

b. If the formula for the area of a rectangle is A = lw, express the quadratic inequality in terms of width (w).

c. What is the solution set of the quadratic inequality?

d. Based on the solution set, how many rectangular gardens he can make if the length must be in whole number?​

Algebra Homework Help

I am working in Eureka Math Algebra 1 module 3 lesson 9 and my teacher gave me this word problem: Sequences are functions. The domain is the set of all term numbers (which is usually the positive inte

I am working in Eureka Math Algebra 1 module 3 lesson 9 and my teacher gave me this word problem:

Sequences are functions. The domain is the set of all term numbers (which is usually the positive integers), and the range is the set of terms of the sequence. For example, the sequence 1, 4, 9, 16, 25, 36, … of perfect squares is the function:

let : {positive integers} → {perfect squares} Assign each term number to the square of that number.

a. What is (4)? {Type your answer as f(4)= with no spaces}

and i can’t figure out to do it. 

Algebra Homework Help

Peter has been working for the past few weeks from 1 pm to 9 pm each day. Each day , Peter has tracked the hour and the number of hot dog sales for each hour. Look at this data set for Saturday (1,7);

Peter has been working for the past few weeks from 1 pm to 9 pm each day. Each day , Peter has tracked the hour and the number of hot dog sales for each hour. Look at this data set for Saturday (1,7);(2,12);(3,18);(4,20),(5,22) ; (6,25);(7,30) ; (8,32);(9,35) To establish the relationship between the time of day and the number of hot dogs sold , Peter will need to put the data into the formula y = mx + b . m- What is the independent variable or input (x) ?

Algebra Homework Help

Conduct some research on the Internet about a current major story in the news. It can be international or national news. Find two different news sources that are telling this same story. Find one from

Conduct some research on the Internet about a current major story in the news. It can be international or national news. Find two different news sources that are telling this same story. Find one from a U.S. source, and then find a non-U.S. news source (ideally a non-Western source altogether). First, summarize the story and identify what two news sources you used. Discuss the similarities and differences of how the stories were told. Consider any bias that either of the news sources may have, and explain how those biases may affect the telling of the story.

Hint: When trying to find the bias of a news source, consider any motivations that the news leadership may have for telling a story in a particular way. Historical? Political? Financial?

Algebra Homework Help

Roller Coaster Crew Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, y

Roller Coaster Crew

Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some simple curves in the coaster’s track.

Part A

The first part of Ray and Kelsey’s roller coaster is a curved pattern that can be represented by a polynomial function.

Ray and Kelsey are working to graph a third-degree polynomial function that represents the first pattern in the coaster plan. Ray says the third-degree polynomial has 4 intercepts. Kelsey argues the function can have as many as 3 zeros only. Is there a way for the both of them to be correct? Explain your answer.

Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.

g(x) = x3 − x2 − 4x + 4

g(x) = x3 + 2×2 − 9x − 18

g(x) = x3 − 3×2 − 4x + 12

g(x) = x3 + 2×2 − 25x − 50

g(x) = 2×3 + 14×2 − 2x − 14

Create a graph of the polynomial function you selected from Question 2.

Part B

The second part of the new coaster is a parabola.

Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = ax2 + bx + c. Describe the direction of the parabola and determine the y-intercept and zeros.

The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster’s parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.

Create a graph of the polynomial function you created in Question 4.

Part C

Now that the curve pieces are determined, use those pieces as sections of a complete coaster. By hand or by using a drawing program, sketch a design of Ray and Kelsey’s coaster that includes the shape of the g(x) and f(x) functions that you chose in the Parts A and B. You do not have to include the coordinate plane. You may arrange the functions in any order you choose, but label each section of the graph with the corresponding function for your instructor to view.

Part D

Create an ad campaign to promote Ray and Kelsey’s roller coaster. It can be a 15-second advertisement for television or radio, an interview for a magazine or news report, or a song, poem, or slideshow presentation for a company. These are just examples; you are not limited to how you prepare your advertisement, so be creative. Make sure to include a script of what each of you will say if you are preparing an interview or a report. The purpose of this ad is to get everyone excited about the roller coaster.