Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{
Nady [450]
Answer:
Step-by-step explanation:
Given
Required
Which is not a function
An ordered pair is represented as:
However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)
<em>From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.</em>
Answer:
Step-by-step explanation:
Multiply all numerators
3 * 2 * 4 * 5 = 6 * 20 = 120
Multiply all denominators
8 * 6 * 8 * 12 = 48 * 96 = 4,608
Simplify
Hope this helps :)
<h3>
Answers: x = -17 and x = 64</h3>
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Explanation
Consider three scenarios:
- A) The value of x is the smallest of the set (aka the min)
- B) The value of x is the largest of the set (aka the max)
- C) The value of x is neither the min, nor the max. So 8 < x < 39.
These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.
--------------------
We'll start with scenario A.
If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}
The range is 56, so,
range = max - min
56 = 39 - x
56+x= 39
x = 39-56
x = -17 which is one possible answer
--------------------
If instead we go with scenario B, then x is the max and 8 is the min
range = max - min
56 = x - 8
56+8 = x
64 = x
x = 64 is the other possible answer
--------------------
Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.
Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.
Answer:
area of shaded region: 21.07 ft²
<u>Given for semi circle:</u>
- radius of semi-circle: 7 ft
<u>Given for rectangle:</u>
<u>Find area of rectangle:</u>
Length * Width
14 * 7
98 ft²
<u>Find the area of semi circle:</u>
1/2 * π * r²
1/2 * 3.14 * (7)²
76.93 ft²
<u>Area of shaded region:</u>
area of rectangle - area of semi-circle
98 ft² - 76.93 ft²
21.07 ft²
