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
jasenka [17]
2 years ago
6

OP - Operations with Polynomials Discussion

Mathematics
1 answer:
Setler [38]2 years ago
5 0

Explanation:

<h3>S + T = R</h3>

Suppose we define ...

  a(x) = 2x, for 0 ≤ x ≤ 1

  b(x) = x^2, for 0 ≤ x ≤ 1

Then we have the following:

  c(x) = a(x) +b(x) = 2x +x^2, for 0 ≤ x ≤ 1

  S = max(a(x)) = a(1) = 2

  T = max(b(x)) = b(1) = 1

  R = max(c(x)) = c(1) = 2 +1 = 3

This value of R satisfies S + T = R.

We note that for x=p=1, we have S = a(p), T = b(p), and R = c(p). The first attachment illustrates this case.

__

<h3>S + T ≠ R</h3>

Suppose we define ...

  a(x) = x, for 0 ≤ x ≤ 1

  b(x) = 1 -x^2, for 0 ≤ x ≤ 1

  c(x) = a(x) +b(x) = x + 1 -x^2, for 0 ≤ x ≤ 1

Then we have the following:

  S = max(a(x)) = a(1) = 1

  T = max(b(x)) = b(0) = 1

  R = max(c(x)) = c(0.5) = 1.25 ≠ 1 + 1 = 2

This value of R does not satisfy S + T = R.

We note that for p, q, r we have S = a(p), T = b(q), R = c(r) and p≠q≠r. The second attachment illustrates this case.

You might be interested in
1.5 meters equal how many cm
hram777 [196]
1 meter = 100 cm. So 1 1/2 meters = 150 cm.
3 0
3 years ago
Read 2 more answers
In a list of five consecutive odd integers, the sum of the first and double the last is 139. What is the largest sum?
Leviafan [203]

Answer: 49

Step-by-step explanation:

From your question, I think you mean the largest number. The answer is given below.

Let the five consecutive odd numbers be:

a, a+2, a+4, a+6 and a+8.

Thee sum of the first and double the last is 139. This can be written as:

a + 2(a+8) = 139

a + 2a + 16 = 139

3a + 16 = 139

3a = 139 - 16

3a = 123

a = 123/3

a = 41

The first number = 41

The largest number = a+8 = 41 + 8 = 49.

7 0
3 years ago
Find the exact value of cos (-270).
djyliett [7]

Answer:

Step-by-step explanation:

Assuming this is in degrees, it is actually 0.

8 0
3 years ago
John received $0.76 change from a purchase in the drugstore. if he received eight coins, and five of the coins are the same deno
Aliun [14]

<span>5 nickels , 2 quarters, and 1 pennies = 8 coins.</span>

<span> he received 2 quarters</span>

5 0
3 years ago
Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa
sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

\bar{x}=\frac{84+85+83+63+61+100+98}{7}

=82

Hence, sample standard deviation would be,

\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}

=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}

=\sqrt{\frac{1}{6}\times 1396}

=\sqrt{232.666666667}

=15.2534149182

\approx 15.3

4 0
3 years ago
Other questions:
  • Would the domain of this function be all real numbers or integers(positive or negative whole numbers)
    11·1 answer
  • A rocket is launched into the air. The projectile motion of the rocket can be modeled using h(t) = 112t –16t2, where t is the ti
    8·2 answers
  • Create a scenario for y=3x+4 will mark brainliest
    5·1 answer
  • Explain how using a model can help you write a fraction with a denominater of 10 or 100 as a decimal
    8·1 answer
  • Please i really need help
    15·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    12·1 answer
  • Write the equation of the line that passes through the points (-8,-1) and (5,-7). Put your answer in fully reduced point-slope f
    10·1 answer
  • Please help me answer this question.
    15·1 answer
  • David's net worth is $45,765.78 and his assets have a value of $62,784.14. If his assets increase by $2,784.89 and his liabiliti
    13·1 answer
  • A peanut company ships its product in a carton that weighs 20 oz when empty. Twenty bays ul
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!