1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
3 years ago
11

Please do step by steps for each!

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

  • x² - 8x + 12
  • x³ + 2x² - 15x - 36
  • x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

  • (x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

  • (x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

  • (x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x
You might be interested in
a method for finding the maximum or minimum value of a quantity that is subject to various limitations is called
Sveta_85 [38]

The minimum or maximum value of a quantity are what are used to maximize or minimize a function.

<em>The method for finding these minimum or maximum value is linear programming.</em>

<em />

Take for instance, the following parameters:

\mathbf{Maximize\ z = 2x + 3y}

Subject to:

\mathbf{2x + y \ge 10}

\mathbf{x - y < 2}

\mathbf{x ,y >0}

The above is an illustration of a linear programming.

It is useful in the following areas:

  • To formulate real life problems
  • To get an optimal solution
  • To maximize profit and minimize cost
  • Etc

Read more about linear programming at:

brainly.com/question/14225202

3 0
3 years ago
What is the answer to this math problem?
Tems11 [23]

Answer: 471.24

Step-by-step explanation:

V=πr2h=π·52·6≈471.2389

4 0
3 years ago
Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
The gateway arch in St Louis Missouri weighs about 20,000 tons what is the exact number in tons the arch weight
tigry1 [53]
17,246 tons, hope this helps! :) 
7 0
3 years ago
What expressions equal to 19
svp [43]
19 = 19/1 = 38/2 = 57/3 = 76/4
3 0
3 years ago
Other questions:
  • A survey of 1,200 men and women asked, "Do you earn over $75,000 per year?" The table below shows the responses for males and fe
    12·1 answer
  • Solve for the indicated variable in each literal equation. <br><br> a/b=c for b
    12·2 answers
  • Bella is interested in buying a $150,000 home. How big does her down
    13·1 answer
  • How don I simplify 18/48
    13·2 answers
  • A cement bridge post is 24 inches square and 15 feet 9 inches in length. If the cement weighs 145 pounds per cubic foot, how muc
    9·1 answer
  • Ma= P2-P1/t solve for p1​
    7·1 answer
  • There are 15 members of the show choir. In how many different ways can you arrange any 8 members in the front row? Show work. I
    6·1 answer
  • Which table represents a quadratic function? No downloadable links or files, I will mark brainliest.
    7·1 answer
  • Determine the correct path energy follows when using coal or oil to produce electricity.
    13·1 answer
  • Prove that:
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!