We are given two relations
(a)
Relation (R)
![R=[((k-8.3+2.4k),-5),(-\frac{3}{4}k,4)]](https://tex.z-dn.net/?f=R%3D%5B%28%28k-8.3%2B2.4k%29%2C-5%29%2C%28-%5Cfrac%7B3%7D%7B4%7Dk%2C4%29%5D)
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k







............Answer
(b)
S = {(2−|k+1| , 4), (−6, 7)}
We know that
any relation can not be function when their inputs are same
so, we can set both x-values equal
and then we can solve for k




Since, this is absolute function
so, we can break it into two parts


we get




so,
...............Answer
Step-by-step explanation:
10^2 = 100
10^-2 = 1/100 ➡ 0.01
The trick to solving problems with mixed units is to convert all of them into one unit or another, so:
There are 12 inches in a foot, so 72 inches = 6 feet.
To find the perimeter of a polygon, sum its sides.
Perimeter = 2 + 5 + 6 = 13 feet.
To find the area of a right triangle (which I assume the one in the picture is), we can use the following equation: A = 0.5 * base * height
There are 3 feet to one yard, so 6 feet = 2 yards.
Area = 0.5 * 2 * 1 = 1 yard^2
D
-2(-4+c)
-2 x -4= 8
-2 x c= -2c
8-2c
Answer:
The library has 1,056 crime DVDs.
Step-by-step explanatiion:
Crime : Adventure : Science
11x : 6x : 10x
6x+384=10x
384=4x
x=96
The number of crime DVDs is 11x.
We found that x=96.
So, the number of crime DVDs the library has is equal to 11*96.
11*96=1,056.
Hope this helps!