Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
4, -1+6i

Answer:

Step-by-step explanation:

f(x) = (x-4)(x+1-6i)(x+1+6i)

= (x-4)((x+1)²-(6i)²)

= (x-4)((x²+2x+1)-(-36))

= (x-4)(x²+2x+37)

= x³-2x²+29x-148

A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?

The formula to determine energy is E = 1/2 mv2. What is the formula solved for v?

True or false answer need ASAP

You go to the mall to buy a pair of shoes. The shoes are $45.00 and you have to add on 6% sales tax. How much is the total that you will pay?​

Help pleasee need asap ill give you brainly things
The Williams are buying a house that costs $349,863 and need to 25% of the price for a down payment. How much money do they need for their down payment?

Write an equation of the line passing through the given point ​(5​,−5​) and having the given
slope m=−9. Write the final answer in​ slope-intercept form.

PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!

Which options have a unit rate of 3?

1. 3 3/4 : 2

2. 2 : 2/3

3. 15/2 : 2 1/2

4. 2 1/2 : 5/6

5. 1 : 1/4

6. 2/3 : 1

PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE!

please help me factor these, show steps with x box if possible

Diego is trying to lift a piano to the second floor of his house. Diego uses a pulley system and gives a big lift to the piano.The piano moves upward, then stops, and then it starts to fall to the ground. (The direction of the force of gravity is negative.)

Which list best describes the forces on the piano in the proper order?

positive force → balanced force → negative force
negative force → balanced force → positive force
positive force → unbalanced force → negative force
negative force → unbalanced force → positive force

One tablet is labeled 124 milligrams and another is labeled 0.5 milligrams. What is the total dosage of these two tablets?

30% of what number is 33? ​

The attendance at a previous football game was 965
people. The attendance from today's game was 772 people.
What is the percent decrease?
Select one:
2%
193%
O
80%
20%
20%

What is the missing number?
29=(30-6)+?

9(1 + w) – 5w = 5
W=

how does 9+10 equal 21?​

Consider the function f(x)=(x^4)/4. Find f'(x).

The graph of y = -3x + 2 is

Barbara has a part-time lawn-mowing job. The table below shows the amount of money Barbara earned for different numbers of hours of work:


Barbara's Earnings from Lawn Mowing
Number of Hours Worked Money Earned (dollars)
5 40
6 48
8
56


Part A: What are the missing numbers in the table? Show your work.

Part B: Barbara also works part time at a theme park. The ratio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9. Create a table to show the money earned by Barbara for 5, 6, and 8 hours of work at the theme park.

Part C: How many more dollars does Barbara earn working at the theme park for 5 hours than mowing lawns for 5 hours? Show your work.

What is AC? Giving brainliest

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Please show your work in the answers. Please answer the 3 questions I put.

There are 30 pieces of candy in a bowl and 6 of them are Twix. What percentage of pieces of candy in the bowl are Twix?

Select the trip that will take 3 hours.
a. A train goes 60 miles per hour between Springfield and Boston, which is 180 miles away.
b. You bike to McDonald's at 10 miles per hour, which is 5 miles away.
c. You drive 80 miles per hour to New York City, which is 320 miles away.

A bird flies 40 miles, but it has only completed 80% of its trip. How far was the trip?​

HELP PLEASE URGENT TIMED

Evaluate: 13 × 20 – 15 × 9 + 20 × 7 – 6 × 15.

19) If the wholesale price of a pair of shoes is $32.25, and the markup is 105%, what is the retail price of the item.​

would appreciate some help

Given m<2 = 55°, find the measure of each missing angle.

When asked about their favorite
holiday, only 10% of the class picked
Valentines Day. How many student
picked Valentine's Day if there were 30
students?

Help me plsss in need help there is a picture

7003 divided by 5 show work :)

3.75 : 1.25 is equivalent to 375 · 125.
The dividend and divisor were both multiplied by