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
lana66690 [7]
3 years ago
8

Add the polynomials. (x2−11x+6)+(x2+5)

Mathematics
2 answers:
Oksana_A [137]3 years ago
8 0

Answer:

\boxed{2 {x}^{2}  - 11x + 11}

Step-by-step explanation:

=  > ( {x}^{2}  - 11x + 6) + ( {x}^{2}  + 5) \\  \\  =  >  {x}^{2}  - 11x + 6 +  {x}^{2}  + 5 \\  \\  =  >  {x}^{2}  +  {x}^{2}  - 11x + 6 + 5 \\  \\  =  > 2 {x}^{2}  - 11x + 11

SashulF [63]3 years ago
4 0

Answer:

2x^2 - 11x +11

Step-by-step explanation:

combine like terms

You might be interested in
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. An SRS of 8 subjects was randomly selected
chubhunter [2.5K]

Answer:

e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

Step-by-step explanation:

Hello!

The study's objective is to test if hypnotism reduces pain.

A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.

The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:

Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.

The sample average and standard deviation obtained were:

Xd= -3

Sd= 3

And the variable is presumed to be approximately normal.

An approximately normal distribution is enough to conduct a paired sample t-test.

If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0

The test will be one-tailed and so will be the p-value.

Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).

So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.

H₀: μd ≥ 0

H₁: μd < 0

t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83

The DF of the t-test are n-1= 7

Then you can calculate the p-value as:

P(t₇≤-2.83)= 0.0127

The level of the test is α: 0.01

The decision rule is:

If p-value ≤ α, reject the null hypothesis.

If p-value > α, do not reject the null hypothesis.

The p-value > α the decision is to not reject the null hypothesis.

Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.

I hope this helps!

5 0
3 years ago
Can anyone help me by just saying <br> number 1,2,3,4,5 you have to show work
Artist 52 [7]
2(x - 5) = 110

2x - 10 = 110

Add 10 to both sides.

2x = 120

Divide by 2 on both sides.

x = 60
4 0
3 years ago
Jason ran 325 meters farther than Kim ran. Kim ran 4.2 kilometers. how many meters did Jason run?
notka56 [123]
4200= 4.2 km so
4200 + 325= 4525 meters
jason ran 4525 meters
6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!<br><br> Multiply.<br><br> (7x + 3)(4x − 5)
Anni [7]

(7x + 3)(4x -5)

7x*4x+7x(-5)+3*4x+3(-5)

7*4xx-7*5x+3*4x-3*5

7*4xx-7*5x+3*4x-3*5

=28x^2-23x-15

Hope this helps!

Thanks!

-Charlie

3 0
3 years ago
Other questions:
  • In the figure, BD is a median. If AD=6x+10 and CD=2x+12, find the length of AC. Show your work.
    15·1 answer
  • Let u = &lt;-4, 1&gt;, v = &lt;-1, 6&gt;. Find -2u + 4v
    12·1 answer
  • How to solve -11b+7=40
    10·2 answers
  • Write the simplified form of the following expression ?. 2x^2y+3x^2+4y+3x^2y+2y
    12·1 answer
  • 2x+2y=17<br> 4x-y=25<br> What is the x value of the system of equations
    5·2 answers
  • Mr. Doss reached into a bag and pulled out a handful of counters. He pulled out 16 negative counters and 27 positive counters. W
    12·1 answer
  • What is the value of -2 1\6 - 1 1\4 + 1 3\4
    7·2 answers
  • What is another name for BD?
    7·1 answer
  • Find the product.<br><br> (23)(−98)(−45)(−1)<br> Enter the correct product in the box.
    6·1 answer
  • Office Products has a case of paper on sale for $22.99. The list price is $32.99. If you buy 5 boxes, what is the total purchase
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!