What is the value of [-4.6]
2 answers:
<h2>Answer:</h2>
The value is:
-4
<h2>Step-by-step explanation:</h2>We are asked to find the value of the ceiling function:
As we know that the ceiling function always occupy the higher value in integers.
i.e. the ceiling function act as follows:
it takes value 0 when -1< x≤0
1 when 0 < x ≤ 1
2 when 1 < x ≤2
and so on.
As we know that:
-4.6 lie between -5 and -4.
Hence, we have:
Answer: -4
Step-by-step explanation:
The ceiling function (also known as the least integer function) is written as
It gives the smallest integer greater than or equal to x .
For example : [5.6]=6
or [-1.9]= -1 [∵- 1 > -1.9 ]
To find : The value of [-4.6]
Clearly , [-4.6] is written in ceiling function notation.
Then, [-4.6] = smallest integer greater than or equal to -4.6
= -4 [∵ -4>-4.6]
Hence, the value of [-4.6] = -4
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Answer:
1. 4 + 26x² + 4x - 48
2. 2 - 23x² + 60x - 32
3. + 7
- 4x + 2
+ 14x² - 8
4. 2 +
- 28
+ 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4 + 2x² -8x + 6(4x² + 2x -8)
4 + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4 + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2 - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x( + 7x² - 4) + 2(
+ 7x² - 4)
+ 7
- 4x + 2(
+ 7x² - 4)
+ 7
- 4x + 2
+ 14x² - 8
No like terms to combine, so:
+ 7
- 4x + 2
+ 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2 - 7
+ 3) + 4(2
- 7
+ 3)
2 - 7
+ 3x + 4(2
- 7
+ 3)
2 - 7
+ 3x + 8
- 28
+ 12
Combine like terms:
2 +
- 28
+ 3x + 12
hope this helps!