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Dmitriy789 [7]
3 years ago
8

I need an answer asap please, it’s the last question

Mathematics
1 answer:
swat323 years ago
7 0
$8
2 pizzas = $24
5 drinks = $10
$6 tip
24+10+6 = 40
Since it’s 5 friends, divide by 5
40/5 = 8
Each person pays $8
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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)

_____

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.

___

<em>Writing the equations</em>

... 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]

___

<em>Solving the equations</em>

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
1)Choose one of the factors of 24x6 - 1029y3 (24x to the sixth power minus 1029y to the third power) A)3 B)2x2 - 7y C)4x4 + 14x2
grigory [225]
24x⁶ - 1029y³ = 
3(8x⁶ - 343y³) = 
3((2x²)³ - (7y)³) = 
3(2x²-7y)(4x⁴ + 14x²y + 49y²)

Answer is <span>D) All of the above.</span>
5 0
3 years ago
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Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
just olya [345]
The answe is the answer is 8
8 0
3 years ago
Every economic decision has only positive benefits. gained opportunities. unavoidable limitations. a consequence or tradeoff.
Alina [70]
Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.
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3 years ago
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Question in the picture&lt;3
SVEN [57.7K]
It whould be 8 because if you divide it
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