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2 years ago

Nina graphs the function y = ⌊x⌋ to learn the properties of the parent floor function. What is the value of y when x =5.7?

2 answers:

8 0

By definition, the integer part of a number x is the greatest integer which is less than or equal to the integer x. Its notation is [x], for example, [2.3] =2, and [ -2.3] = -3. in our case we have y = [x], obviously, when x = 5.7, the floor function is y= [5.7] = 5

Zepler [3.9K]2 years ago

5 0

Answer:

Step-by-step explanation:

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Write the polynomial of least degree with roots -2, 5, and 7.

fomenos

For roots of -2, 5, and 7.

x = -2, x = 5, and x = 7

x = -2 x = 5    x = 7

(x + 2) = 0 (x - 5) = 0    (x - 7) = 0

The polynomial of least degree would be:
(x -2)(x - 5)(x - 7) = 0

(x -2)(x -5) = x(x - 5) - 2(x -5)

   = x² - 5x - 2x + 10

   = x² - 7x + 10

(x² - 7x + 10)(x -7)

x(x² - 7x + 10) - 7(x² - 7x + 10)

x³ - 7x² + 10x - 7x² + 49x - 70

x³ - 7x² - 7x² + 10x + 49x - 70

x³ - 14x² + 59x - 70

The least is   x³ - 14x² + 59x - 70

3 0

2 years ago

there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full.

ELEN [110]

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1 1/2

6 0

2 years ago

Read 2 more answers

A circle has diameter of 11cm

dlinn [17]

Since length of diagonal ( $Diagonal= 9.9cm$ ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without touching the edge of the circle.

<u>Step-by-step explanation:</u>

Here we have , A circle has diameter of 11 cm A square has side length of 7 cm . Use Pythagoras’ Theorem to show that the square will fit inside the circle without touching the edge of the circle . Let's find out:

We know the concept that for any square to fit inside the circle without touching the edge of circle , diagonal of square must be less than diameter of circle . Let's find out length of diagonal by using Pythagoras Theorem :

$Hypotenuse ^2 = Perpendicular^2+Base^2$

For a square , $Perpendicular = base = side$

⇒ $Diagonal^2 = 2(side)^2$

⇒ $Diagonal= \sqrt{2}(side)$

⇒ $Diagonal= \sqrt{2}(7)$

⇒ $Diagonal= 9.9cm$

Since length of diagonal ( $Diagonal= 9.9cm$ ) is less than diameter of circle ( 11 cm ) , Therefore , the square will fit inside the circle without ruching the edge of the circle.

5 0

2 years ago

Perry, maria, and lorna are painting rooms in a college dormitory. working alone, perry can paint a standard room in 3 hours, ma

Leviafan [203]

Answer:Perry and Lorna take the maximum time and Maria and Lorna take the minimum time when they work together.

Explanation: Since, according to the question- Perry takes time when he works alone = 3 hours

Similarly, Maria takes = 2 hours, While Lorna takes= 2 hours 30 minutes or 2.5 hours.

since, there are three people thus their are three possibility to choose any two of them.

1- when Perry and Maria work together then time taken by them is $\frac{1}{1/2+1/3}$ = $\frac{1}{5/6}$ = 6/5= 1 hour 12 minutes.

2- when Maria and Lorna work together then time taken by them is $\frac{1}{1/2 + 1/2.5}$ = 10/9= 1 hours 1/9 minutes ≈ 1 hours 7 min

3- when Perry and Lorna work together then time taken= $\frac{1}{1/3+1/2.5}$ = 15/11= 1 hour 4/11 minutes≈ 1 hours 21 minutes

From the above explanation, it has been proved that when we talk about 2 members team then Perry and Lorna take the maximum time. While Maria and Lorna take the minimum time when they work together.

3 0

2 years ago

Read 2 more answers

In an assessment of the quality of the electrical power system, one measure of quality is the degree to which voltage fluctuati

denis23 [38]

Answer:

The answer is " 0.83"

Step-by-step explanation:

In the question some data is missing, that's value can be defined as follows:

Values:

$\ X = 3.3 \\$