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Which expression is the simplest form -(4x^3+x^2)+2(x^3-3x^2)

Answers

Answer 1

Answer:

The simplest form of the given expression $(4x^(3) +x^(2) )+2 (x^(3) -3x^(2) )$ is,

$6x^(3) - 5x^(2)$ .

Here, given expression is,

$(4x^(3) +x^(2) )+2 (x^(3) -3x^(2) )$

What is simplest form of equation?

The simplest form is the smallest possible equivalent fraction of the number.

Now,

Simplest form of expression,

$(4x^(3) +x^(2) )+2 (x^(3) -3x^(2) )\n4x^(3) +x^(2) +2 x^(3) -6x^(2) \n6x^(3) - 5x^(2)$

Hence, The simplest form of the given expression $(4x^(3) +x^(2) )+2 (x^(3) -3x^(2) )$ is, $6x^(3) - 5x^(2)$ .

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Answer 2

Answer:

Answer:

6x^3-5x^2

Step-by-step explanation:

(4x^3+x^2)+2(x^3-3x^2)

4x^3+x^2+2x^3-6x^2

4x^3+2x^3+x^2-6x^2

6x^3+x^2-6x^2

6x^3-5x^2

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2-23 Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. If the lathe is out of adjustment, however, the probability of a good part being produced is only 0.2. A part randomly chosen is inspected and found to be acceptable. At this point, what is the posterior probability that the lathe tool is properly adjusted?

What are the quotient and remainder of (3x^4+ 2x^2 - 6x + 1) = (x + 1)

Answers

Answer: Im 75% sure the answer is A. Its either A or B.

Step-by-step explanation:

What is the solution set for - 4x + 10 = 5(x + 11)? HELPPPPPPP

Answers

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

The machinist's goal was to increase his production by at least 10% each day. Assume he achieved his goal. If he was able to machine 25 items on Tuesday, how many would he machine on Wednesday?

Answers

Answer:

The number of machine produced on Wednesday is 27.5.

Step-by-step explanation:

It is given that the number of machines produced by machinist on Tuesday is 25.

The machinist's goal was to increase his production by at least 10% each day.

Therefore the number of produced machines on Wednesdays is 1% more than the number of machines produced on Tuesday.

$\text{10 \% of 25}=(10)/(100)* 25=2.5$

The number of machine produced on Wednesday is,

$25+2.5=27.5$

Therefore the number of machine produced on Wednesday is 27.5.

25+10%= 27.5 Hope this helps.

Use the inner product〈f,g〉=∫10f(x)g(x)dxin the vector space C0[0,1] of continuous functions on the domain [0,1] to find 〈f,g〉, ∥f∥, ∥g∥, and the angle αf,g between f(x) and g(x) forf(x)=−10x2−6 and g(x)=−9x−4.〈f,g〉= ,∥f∥= ,∥g∥= ,αf,g .

Answers

Answer:

a) <f,g> = 2605/3

b) ∥f∥ = 960

c) ∥g∥ = 790

d) α = 90

Explanation

a) We calculate <f,g> using the definition of the inner product:

$<f,g> = \int\limits^1_0 {10(-10x^(2) -6)(-9x-4)} \, dx \n \n =\int\limits^1_0 {900x^(3)+400x^(2) +540x+240 } \, dx\n \n = (225x^(4) + (400x^(3) )/(3) + 270x^(2) +240x)\n = (2605)/(3)$

b) How

∥f∥ = <f,f> then:

∥f∥ = $<f,f> = \int\limits^1_0 {10(-10x^(2) -6)(-10x^(2) -6)} \, dx \n \n =\int\limits^1_0 {1000x^(4)+1200x^(2) + 360} \, dx\n \n = (200x^(5) + 400x^(3) + 360x)\n = 960$

∥g∥ = <g,g>

∥g∥ = $<g,g> = \int\limits^1_0 {10(-9x-4)(-9x-4)} \, dx \n \n =\int\limits^1_0 {810x^(2)+720x + 160} \, dx\n \n = (270x^(3) + 360x^(2) + 160x)\n = 790$

d) Angle between f and g

<f,g> = ∥f∥∥g∥cosα

Thus

$\alpha = cos^(-1)((2605/3)/((790)(960)) )\n\n\alpha = 90$

Final answer:

The answer to this problem involves applying integrals, norms, and concepts of angles between vectors to the functions f(x) and g(x). The INNER PRODUCT is the integral of the products of the two functions, the norms are the square roots of the inner products of the functions with themselves, and the angle between the functions is calculated using the dot product and norms.

Explanation:

To find the inner product 〈f,g〉, the norms ∥f∥ and ∥g∥, and the angle αf,g between the functions f(x)=−10x2−6 and g(x)=−9x−4, we'll apply concepts from vector calculus. The inner product (also known as the dot product) is the integral from 0 to 1 of the products of the two functions. The norm of a function is the square root of the inner product of the function with itself. The angle between two vectors in a Vector Space, in this case the space of continuous functions C0[0,1], is given by cos(α) = 〈f,g〉/( ∥f∥∙ ∥g∥). Integrating and solving these equations will give us the desired values.

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What is the difference in length between 1 1/4 inch button and a 3/8 inch button

Answers

Answer:7/8 of an inch

Step-by-step explanation: 1 and 1/4 inch is 5/4 inches, which can be converted into 10/8

10/8-3/8=7/8

Answer:

7/8

Step-by-step explanation:

1 1/4 or 5/4 - 3/8 or 10/8-3/8

Can someone help me? it’s due in like 10 minutes

Answers

Answer:

B. 3x + y = 4

Step-by-step explanation:

y = -3x + 4

Check:

3x + y = 4

-3x -3x

y = -3x + 4

Answer:

It is B

Step-by-step explanation:

This is because if you use the point (1,1) for example then both x and y are 1.

1 X 3 = 3 and 3 + 1 = 4.

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A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.a. Calculate the p-value for this test.b. Find the p-value for this test and draw your conclusion.c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.