Answer:
y = -⅓x - 5
Step-by-step explanation:
the slope of g(x) = 3
=> the slope of the line perpendicular
to g(x) = -1 /3
so,
the line is :
y +5 = -⅓(x-0)
y = -⅓x - 5
You would do 4 divided by 3. Which is 1.33 with repeating 3s. You would then round to the nearest hundredth which would 1.33. You can multiply 1.33 and 3 to check your work. Although it might not exactly 4 it is not that big of a deal.
Hope this helps!
The question is what numbers satisfy A ∩ C.
The symbol ∩ means intersection, .i.e. you need to find the numbers that belong to both sets A and C. Those numbers might belong to the set C or not, because that is not a restriction.
Then lets find the numbers that belong to both sets, A and C.
Set A: perfect squares from A to 100:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100
=> A = {1, 4, 9, 16, 25, 36, 49, 64, 81, 100}
Set C: perfect fourths
1^4 = 1
2^4 = 16
3^4 = 81
C = {1, 16, 81?
As you see, all the perfect fourths are perfect squares, so the intersection of A and C is completed included in A. this is:
A ∩ C = C or A ∩ C = 1, 16, 81
On the other hand, the perfect cubes are:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 81
B = {1, 8, 27, 81}
That means that the numbers 1 and 81 belong to the three sets, A, B, and C.
In the drawing you must place the number 16 inside the region that represents the intersection of A and C only, and the numbers 1 and 81 inside the intersection of the three sets A, B and C.
1.07
Step-by-step explanation:
Below. Lets say 1 is 100 dollars sale tax. If 1 is 100 7 would be 7.00
