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DaniilM [7]
3 years ago
7

Plz help!!!!

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0
Answer :
3,000 meters

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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
2 years ago
Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x
Mrac [35]

Answer:

y=\frac{3}{4}x-1

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is \frac{3}{4}

So far, we are looking at y=\frac{3}{4} x+b

Now we need to find the b value by plugging in the given point.

2=\frac{3}{4}(4)+b\\  2=3+b\\ b=-1

So the final equation is y=\frac{3}{4}x-1

8 0
3 years ago
If PQ = QR, find x. NEED HELP.
max2010maxim [7]

Answer:

x=-3,5

Step-by-step explanation:

4 0
2 years ago
I will report you for any not serious answers, and the points will be taken away from you.
mezya [45]

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation:

4 0
3 years ago
5,400 inches to miles
Anit [1.1K]
1inch= 0,8(3) feet

5,400*0,8333 : 5280=  4,4999 :5280=0, 085 miles
4 0
3 years ago
Read 2 more answers
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