Answer:
(a) TRUE
(b) TRUE
(c) FALSE
(d) TRUE
Step-by-step explanation:
" The "opposite" of any number is also known as it's " additive inverse" i.e. for any number 'a' the additive inverse is 'a' ".
(a) TRUE
Since let us consider any negative number '-5' then it's opposite is '5' since (-5)+5=0
(b) TRUE
this could be seen clearly from the number line.
(c) FALSE
this statement is false since we can take example of zero.
the opposite of zero is 0 but 0×0≠1.
(d) TRUE
since 0-0=0.Step-by-step explanation:
If 7/10 of my muffins equals 28, I’m left with 3/10 muffins left.
28/0.7=40 (7/10=70%=0.7)
40-28=12
1 and 5/12 is the simplst mixed
B. No Histogram.
Part C:
Mean: 171.1
Median: 167.5
Mode: 164
Range: 51
Part D:
Minimum: 146
First Quartile: 164
Third Quartile: 186
Maximum: 197
E. No Box and Whisker Plot
Part F:
40th Percentile: 164.4
9514 1404 393
Answer:
- 4
- -2
- 4
- 2
- -2±√2
Step-by-step explanation:
In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.
1. x² +<u> </u><u>4 </u>x +2 = 0
The constant is subtracted from both sides to get the second line.
2. x² +4x = <u> -2 </u>
The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4
3. x² +4x +<u> 4 </u> = -2 +4
On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.
4. √(x +2)² = ±√<u> 2 </u>
Finally, 2 is subtracted from both sides to find the values of x.
5. x = <u> -2 ±√2 </u>