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3 and 512 take away eight 12 equals

Molodets [167]

The answer would be -0.66

8 0

3 years ago

Find the polynomial function

laiz [17]

Answer:

y = 2x³ +x² -3x +6

Step-by-step explanation:

The polynomial correlation function of a graphing calculator can work with the table of function values to give you the equation. (See attached)

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If you want to solve this by hand, you can write the equations for the unknown coefficients in the polynomial function, then solve those. First of all, notice that you are given the y-intercept, (0, 6), so you know one of the coefficients already. That leaves a system of 3 equations in 3 unknowns that need to be solved.

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Writing the equations

... ax³ +bx² +cx +6 = y . . . . the generic linear equation in a, b, c that you're writing

For x = -1:

... -a +b -c +6 = 8

For x = 1

... a + b + c + 6 = 6

For x = 2

... 8a +4b +2c +6 = 20

In augmented matrix terms, this set of linear equations looks like ...

$\left[\begin{array}{ccc|c}-1&1&-1&2\\1&1&1&0\\8&4&2&14\end{array}\right]$

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Solving the equations

There are a number of ways to solve these. Again, a graphing calculator often has solution functions, such as reducing a matrix to row-echelon form, that will solve this in a keystroke or two.

If you add the first two equations, you get ...

... 2b = 2 ⇒ b = 1

Substituting that into the first equation allows you to simplify it to ...

... -a -c = 1

Dividing the third equation by 2 (and substituting for b) makes it ...

... 4a +c = 5

Adding these equations gives ...

... 3a = 6 ⇒ a = 2

Then ...

... c = -a -1 = -2 -1 = -3

And our polynomial function is ...

... y = 2x³ +x² -3x +6

7 0

3 years ago

F(x)=x^3 −9x What is the average rate of change of over the interval [1,6]?

Inga [223]

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = $\frac{162-(-8)}{6-1}$ = $\frac{170}{5}$ = 34

8 0

3 years ago

Listed below are several statements that relate to financial accounting and reporting. Identify the accounting concept that appl

9966 [12]

Answer:

The accounting concept that applies to the given statements is as follow:

1. SiriusXM Radio Inc. files its annual and quarterly financial statements with the SEC. ⇒ The Periodicity Assumption.

2. The president of Applebee’s International, Inc., travels on the corporate jet for business purposes only and does not use the jet for personal use. ⇒ The Economic Entity Assumption.

3. Jackson Manufacturing does not recognize revenue for unshipped merchandise even though the merchandise has been manufactured according to customer specifications. ⇒ Revenue Recognition

4. Lady Jane Cosmetics depreciates the cost of equipment over their useful lives. ⇒ Expense Recognition

6 0

4 years ago

Points scored in a basketball game vary directly with shots taken. If a player scores 50 points and takes 40

KATRIN_1 [288]

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

$40x = 50*60$

Dividing both sides by 40

$x = 50*1.5 = 75$

She would have scored 75 points.

6 0

3 years ago