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belka [17]
3 years ago
8

How many ft are in 800 sq ft?

Mathematics
1 answer:
shusha [124]3 years ago
7 0

Answer:

800 ft are in 800 sq ft.

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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
The length of an object is measured as 34.8 centimeters. What is this measurement in scientific notation?
harkovskaia [24]

Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

3 0
2 years ago
Harry saved $100 each week for 8 weeks. He earned $48 on his savings of $800. What interest did Harry earn for every $100?
ch4aika [34]
<h2>Explanation:</h2><h2></h2>

In this problem, we know that Harry saved $100 each week for 8 weeks. In other words, he saved a total amount of money:

\text{Amount of money saved}=8\times 100=\$800

We know that he earned $48 on his savings of $800, so for every $100 the interest (I) he earns is:

I=\frac{48}{8}=\$6

So, in conclusion Harry did earn $6 in interest for every $100

8 0
3 years ago
Angle a=126°. What is the measure of angle b? Explain how you calculated your answer.
velikii [3]
It’s 57 57 57 okay i had this question once
7 0
3 years ago
Can someone help meee please
hoa [83]

Answer:

Equation → 5y = 3y + 6

Value of ST = 15

Step-by-step explanation:

From the picture attached,

In right triangles ΔVST and ΔVUT,

Acute angles ∠SVT ≅ ∠UVT [Given]

TV ≅ TV [By reflexive property of congruence]

ΔVST ≅ ΔVUT [Hypotenuse angle congruence of right triangles]

Therefore, corresponding parts of the congruent triangles are congruent.

Therefore, ST ≅ TU

5y = 3y + 6

5y - 3y = 6

2y = 6

y = 3

Therefore, ST = 5y

ST = 5(3)

     = 15

8 0
2 years ago
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