MATHEMATICS HIGH SCHOOL

Evaluate the floor function f(x) = ⌊x⌋ for the given input values. f(2) = f(6.8) = f(–3.3) =

Answers

Answer 1

Answer:

Answer:

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Step-by-step explanation:

We are given,

Floor function is $f(x)=\left \lfloor x \right \rfloor$ .

That is, the function have value,

$f(x)=n$ when $n\leq x< n+1$ .

So, we get,

For $2\leq x< 3$ , we have f(2) = 2

For $6\leq x< 7$ , we have f(6.8) = 6

For $-4\leq x< -3$ , we have f(-3.3) = -4

Thus, we have the values,

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Answer 2

Answer:

Answer:

The correct answers on edge .. yw have a great dayy

Step-by-step explanation:

f(2) =

f(6.8) =

f(–3.3) =

-4

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Georgianna wants to use the linear model associated with the data in the table to make a prediction.Which range of time values describes the entire interval over which she would be interpolating?

A) 0 to 5 minutes
B) 0 to 18 minutes
C) 0 to 30 minutes
D) 18 to 30 minutes

Answers

the data in the table in the attached figure

we know that

Linear model regression is used to predict the relationship between 2 variables by fitting the observed data in a linear equation.

The range of time values that describes the interpolation that Georgianna would be making is from

$0$ $to$ $30$ $minutes$

Because

the minimum value of the time of the data in the table is equal to $0$ minutes

the maximum value of the time of the data in the table is equal to $30$ minutes

therefore

the answer is the option

$C) 0 to 30 minutes$

Georgianna wants to use the linear model associated with the data in the table to make a prediction. The range of time values that describes the entire interval over which she would be interpolating is 18 to 30 minutes. The answer is letter D.

a 75 inch boars is cut into 2 pieces one piece is 4 times the length of the other find the lengths of the 2 pieces the short piece is _inches long

Answers

Length of the long piece = 4 times the length of the short piece
Length of the short piece = 1 times the length of the short piece.
Total length of both pieces = (4 + 1) = 5 times the length of the short piece.

5 times the length of the short piece = 75 inches

The length of the short piece =75 / 5 = 15 inches

Length of the long piece = 4 times the length of the short piece = 60 inches

Check: 15 + 60 = 75 inches
yay

The shorter piece is 15 inches, and the longer piece is 60 inches.
This would be a system of equations problem. If x is the shorter piece and y is the longer piece, then your two equations would be:
x + y = 75
y = 4x
Since the second equation tells you what y is, you can substitute the y in the first equation with 4x to get the equation x + 4x = 75. x + 4x is 5x, so you'll have 5x = 75. To get x by itself, divide off the 5 on both sides. 75 ÷ 5 = 15, so x = 15. The shorter piece would be 15 inches long.
Now that you know x, go to the second equation and plug it in: y = 4·15. 4·15 is 60, so that makes the longer piece 60 inches long.
Sorry if this was confusing; I'm really bad at giving written directions :/

The shape of a roller coaster is modeled by a polynomial function, R(x). Describe how to find the x-intercepts of R(x) and how to construct a rough graph of R(x) so that the engineer can predict when there will be no change in the direction of the coaster. You may create a sample polynomial of degree 3 or higher to use in your explanations.

Answers

The 1st feature of the polynomial function is that its graph is continuous, it is, in the graph of the polynomial function has no breaks. The 2nd feature is that the graph of the polynomial function has only smooth, rounded turns.

From the problem establishes that we can create the sample polynomial to be used in our explanations, we can say that this polynomial function is:

$R(x) = -2x^(4) + 2x^(2)$