The tangent line to the curve y=1/3x^3−4x^2+17x+14 is parallel to the line 6x−3y=4 at two points on the curve. Find the two points. The two points are (−3,−82),(−5,−212 2/3), (Type an ordered pair. Use a comma to separa Transwers as needed.)

Answer: y = 0.6x + 5.8

Example 1: y = x⁴ – x³ + x² – x + 1. Example 2: y = x⁴ + 6x² + 25.These polynomials have non-zero coefficients for the terms x³ and x², which means they cannot be expressed in the required form.

Quartic polynomials of the form y = a(x – h)⁴ + k cannot represent all quartic functions. Some quartic polynomials cannot be written in this form, for various reasons, including the presence of the term x³.Here are two examples of quartic polynomials that cannot be written in the form y = a(x – h)⁴ + k:

Example 1: y = x⁴ – x³ + x² – x + 1

This quartic polynomial does not have the same form as y = a(x – h)⁴ + k. It contains a term x³, which is not present in the given form. As a result, it cannot be written in the form y = a(x – h)⁴ + k.

Example 2: y = x⁴ + 6x² + 25

This quartic polynomial also does not have the same form as y = a(x – h)⁴ + k. It does not contain any linear or cubic terms, but it does have a quadratic term 6x². This means that it cannot be written in the form y = a(x – h)⁴ + k.Therefore, some quartic polynomials cannot be expressed in the form of y = a(x-h)⁴+k, as mentioned earlier. Two such examples are as follows:Example 1: y = x⁴ – x³ + x² – x + 1

Example 2: y = x⁴ + 6x² + 25

These polynomials have non-zero coefficients for the terms x³ and x², which means they cannot be expressed in the required form. These are the simplest examples of such polynomials; there may be more complicated ones as well, but the concept is the same.

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Answer:

I believe it is 2 grams.

Step-by-step explanation:

there are 1000 grams in 1 kg, there are 500 crayons, therefore each crayon weighs 2 grams

Answer:

D 0.75

Step-by-step explanation:

There are a total of 4 pairs: White-Summer, Black-Summer, White-Winter, and Black-Winter. There are a total of 8 socks.

The probability of pulling a black sock or a summer sock is the number of all black or summer socks divided by the total number of socks.

The number of black or summer socks includes 1 pair of White-Summer, 1 pair of Black-Summer, and 1 pair of Black-Winter.

This makes for 6 black or summer socks.

Divide 6 by 8 to get 0.75

The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

C

Step-by-step explanation:

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

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When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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Answer:

4028.5

Step-by-step explanation:

V=4000+4.75 (6)

V= 4000+28.5

V=4028.5

Please Vote Brainliest!

Answer: Hope this helps <3

Step-by-step explanation:

\(V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5\)

Answer:

36

Step-by-step explanation:

Sum of the exterior angle of a polygon = 360

so one exterior = 2x

There are 5 exteriors totaling 10x

10x = 360

x = 36

Answer:

36

Step-by-step explanation:

just took the exam and got 100%

The ratio illustrates that the values will be 3146.7945 gram, 9440.3835 gram, and 3968.93 grams.

It should be noted that 1 ounce is equivalent to 28.3495 gram.

Therefore, 111 ounces will be:

= 111 × 28.3495 gram

= 3146.7945 gram

333 ounces will be:

= 333 × 28.3495 gram

= 9440.3835 gram

140 ounces will be:

= 140 × 28.3495 gram

= 3968.93 grams

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Answer:

-2+3

Step-by-step explanation:

Answer:2.97 ×10 − 19 J

Answer:

12345

Step-by-step explanation:

Answer:

100 minutes for 40 dollars

Step-by-step explanation:

Call U Now

15+ .25 m

The Pacific Bell Company

25 +.15m

We want them to have the same cost so set them equal

15+ .25m=25 +.15m

Subtract .15m from each side

15+ .25m - .15m=25 +.15m- .15m

15 + .1m = 25

Subtract 15 from each side

15 + .1m = 25

15-15 +.1m = 25-15

.1m = 10

Divide each side by .1

.1m/.1 = 10/.1

m =100

The cost will be

15+.25m

15 +.25(100)

15 + 25

40

Answer:

1/6

Step-by-step explanation:

The multiplicative inverse of a number is that number as the denominator, and 1 as the numerator. Let's solve this problem using that knowledge.

6 × ? = 1

6 × m = 1

(m stands for multiplicative inverse)

m = 1/6

Best of Luck!

Answer:

(C) 220

Step-by-step explanation:

Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:

\(x+y=360\)

\(5x+3y=1360\) (Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)

In the first equation, we can represent x in terms of y:

\(x=360-y\)

And then, we can substitute x in the second equation for 360 - y to get:

\(5(360-y)+3y=1360\) which simplifies to:

\(1800-2y=1360\) and therefore, \(y=220\).

Hope this helps :)

Answer:

Step-by-step explanation:

I think once I did something like is their life on other planets in our solar system. I started by defining life talking about what life needs, and you get the idea

Considering the definition of zeros of a function, the zero (x-intercept) of the function y=17-3.75x is 68/15.

The points where a function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros are obtained by making f(x)=0.

In summary, the zeros of the function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the function intersects the x-axis.

In this case, you know that f(x)= y= 17 - 3.75x

On the other hand, you know that the zeros of a function are obtained by making f(x)=0. In this case:

0= 17 - 3.75x

To solve it and find the value of "x", you should keep in mind:

Then, solving 0= 17 - 3.75x in this case:

-17= -3.75x

(-17)÷ (-3.75)=x

68/15= x

Finally, the zero (x-intercept) of the function y=17-3.75x is 68/15.

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Answer & Step-by-step explanation:

n represents our number. So, twice a number would be 2n because twice means multiply by two.

When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.

FInally, the problem says that all of this equals 17 so 17 would be the result.

So, you answer is 2n-6 = 17. This is answer choice B.

Answer:

x=-7

Step-by-step explanation:

hope this helps

Answer:

DIS WILL  help

Step-by-step explanation:

Answer:

No Solution.

Step-by-step explanation:

y=-1-3x

y+3x=3

------------

-1-3x+3x=3

-1=3

no solution

Answer:

1. I don't know how to solve that sorry :(

2. B. It is a diameter

3. 30° = q

4. I don't know sorry :(

Step-by-step explanation:

1. I don't know how to solve that sorry :(

-----------------------------------------------------------

2. B. It is a diameter

------------------------------------

3. All triangles = 180°

180° = 60° + 90° + q

180° = 150° + q

180° - 150° = 150° - 150° + q

30° = q

180° = 60° + 90° + 30°

180° = 150° + 30°

180° = 180°

------------------------------------------

4. I don't know sorry :(

To show that each function is O(x^2) using the Definitional proof, we need to find a constant c and a positive number k such that |f(x)| ≤ c|x^2| for all values of x greater than some value k.

(a) For function f(x) = x:

We need to find a constant c and k such that |x| ≤ c|x^2| for all x > k.

Let's choose c = 1 and k = 1.

|f(x)| = |x| ≤ 1 * |x^2| for all x > 1.

Therefore, f(x) = x is O(x^2).

(b) For function f(x) = 9x + 5:

We need to find a constant c and k such that |9x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 14 and k = 1.

|f(x)| = |9x + 5| ≤ 14 * |x^2| for all x > 1.

Therefore, f(x) = 9x + 5 is O(x^2).

(c) For function f(x) = 2x^2 + x + 5:

We need to find a constant c and k such that |2x^2 + x + 5| ≤ c|x^2| for all x > k.

Let's choose c = 8 and k = 1.

|f(x)| = |2x^2 + x + 5| ≤ 8 * |x^2| for all x > 1.

Therefore, f(x) = 2x^2 + x + 5 is O(x^2).

(d) For function f(x) = 10x^2 + log(x):

We need to find a constant c and k such that |10x^2 + log(x)| ≤ c|x^2| for all x > k.

Let's choose c = 11 and k = 1.

|f(x)| = |10x^2 + log(x)| ≤ 11 * |x^2| for all x > 1.

Therefore, f(x) = 10x^2 + log(x) is O(x^2).

In each case, we have found a constant c and a value k such that the inequality |f(x)| ≤ c|x^2| holds for all x greater than k. This satisfies the definition of f(x) being O(x^2).

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Answer:

10

Step-by-step explanation:

c²=b²+a²=100

so

c=10

jjthj

Answer:

Collin with 80

Step-by-step explanation:

Because he has the most flips, therefor he can most closely predict the number of heads up landings

Answer:

The correct answer is C.

Step-by-step explanation:

Collin is most likely to find that the actual number of times his coin lands heads up most closely matches the predicted number of heads-up landings.

Hopefully, this helps! :D

Ask your question below!

The domain of the function (fog)(x) is -∞<x<∞  or  (-∞,∞).

What is function?

In mathematics, function is an expression, rule, or law which defines a relationship between one variable which is the independent variable and another variable which is called the dependent variable.

Two functions are given by:

f(x)= x+7 and g(x)= -2x-15

(fog)(x)= f(g(x))

           = f(-2x-15)

            putting -2x-15 in the place of x in f(x) we get,

(fog)(x)= -2x-15+7

            = -2x - 8

so (fog)(x)= -2x-8

The domain of a function means the set of all possible values or inputs of the function.

Here x takes all the values from -∞ to +∞

Hence, the domain of the function (fog)(x)= -∞<x<∞

or it can be written as (-∞,∞).

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