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3 years ago

11

Which statement explains why the value of [2.4] is 2 but the value of [-2.4] is –3?

2 answers:

Liula [17]3 years ago

7 0

Answer:

A) Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4

Step-by-step explanation:

GenaCL600 [577]3 years ago

3 0

For any x in Real numbers, [x] is the greatest possible integer smaller than x, or equal to x if x is an integer.

According to this,

<span>[2.4] is the greatest integer , smaller than or equal to (so non greater) 2.4. This number is 2

similarly, </span>[-2.4] is the greatest integer , smaller than or equal to (so non greater) -2.4. This number is -3.

Answer:

A) <span>Because 2 is the greatest integer not greater than 2.4 and –3 is the greatest integer not greater than –2.4. </span>

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Svetllana [295]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Calculate discriminant :

$\qquad \sf \dashrightarrow \: 3 {x}^{2} + 6x - 1$

a = 3
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$\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac$

$\qquad \sf \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)$

$\qquad \sf \dashrightarrow \: d = 36 - 12$

$\qquad \sf \dashrightarrow \: d = 24$

$\qquad \sf \dashrightarrow \: \sqrt {d} = 2 \sqrt{6}$

Now, let's calculate it's roots ( x - intercepts )

$\qquad \sf \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6}$

So, the intercepts are :

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6}$

and

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6}$

5 0

2 years ago

Read 2 more answers

What is numerical coefficient of this term -3z

9966 [12]

Answer: -3

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3 years ago

9 < 11, so 9(5) < 11(5) true or false?

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3 years ago

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dmitriy555 [2]

Answer:

d, e

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

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In this case, it means the product is ...

(6^1)(6^0)(6^-3) = 6^(1+0-3) = 6^-2 = 1/6^2 = 1/36

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The 6 without an exponent is equivalent to 6^1, an exponent of 1.

The sum of the exponents is -2.

Add the exponents to simplify the expression.

The value of the expression is 1/36.

An equivalent is any expression that results in 6^-2. One such is (6^5)(6^-7).

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Only the last two choices, d and e, apply.

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