The intersection of two sets A and B is defined as the set composed by the elements appearing in both A and B.
So, the intersection is

Because all the other numbers do not belong to both sets:
- 2, 3 and 7 belong to A alone
- 13, 15 and 17 belong to B alone
- 5 and 11 belong to both A and B
|2x + y - 3z|
Plug in the values
|-4 + 10 - 9|
= |-3|
= 3
Answer:
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Step-by-step explanation:
-21=14 Equ(1)
6.1=-42 Equ(2)
Multiplying the first equation by -3 will give
-63= -42
Which is not equivalent to the second equation
Multiplying the first equation by 3, we have
-63=42
Not equivalent to the second equation
Multiplying both sides of the first equation by -4, we have
84=56
Not equivalent to the second equation
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Total number of wheels in the toy shop = 37 wheels
Number of wheels for tricycles = 3
Number of wheels for go-carts = 5
- Since the total number of tricycles and go-carts are not given, we solve this question using Assumption.
- Let's assume: We have 4 tricycles and 4 go-carts
(4 x 3) + (4 x 5)
= 12 + 20
= 32 wheels. This assumption is wrong.
- Let's assume: We have 4 tricycles and 5 go-carts
(4 x 3) + (5 x 5)
= 12 + 25
= 37 wheels. This assumption is correct.
Therefore, we have 4 tricycles and 5 go-carts in the toy shop.
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Answer:
y + 1 = 7(x + 2).
Step-by-step explanation:
Point slope form:
y - y1 =m(x - x1).
Here m = 7 and (x1, y1) = (-2, -1)
So the answer is;
y - (-1) = 7(x - (-2))