Absolute value is defined as the distance of a number from zero on a number line.
Since, the distance can never be negative, hence, absolute value can never be negative.
For example 1 is 1 away from the origin and -1 is also, 1 away from the origin.
Therefore, absolute value of both -1 and 1 is 1. Mathematically, we can write
|-1| =1
|1|=1
Therefore, the number 1 and -1 on the number line have an absolute value of 1.
Answer:
3 patients had all the three complaints
Step-by-step explanation:
Let U be the set of patients who reported at the hospital on that day
Let F be the set of patients who complained of fever
Let S be the set of patients who had stomach troubles
Let I be the set of injured patients
Then the given data can be written as:
- n(U) = n(F∪S∪I) = 100
- n(F) = 70
- n(S) = 50
- n(I) = 30
- n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44
n(F∩S∩I) = ?
Using the formula for the cardinal number of union of three sets:
n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)
100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)
100 = 150 - 44 - 2×n(F∩S∩I)
2×n(F∩S∩I) = 106 - 100 = 6
<u>n(F∩S∩I) = 3</u>
Answer:
The axis of symmetry is x = 6
Step-by-step explanation:
To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.
x + 9 = 0
x = -9
x - 21 = 0
x = 21
Now take the average of these two numbers.
(-9 + 21)/2
12/2
6
4 x 35 = $140
$140 + 9 = $149
$200 - $149 = $51
Yes, she has enough to buy a $50 wheelbarrow.
Hey download Socratic and just take a pic of the question
