A function is a relation that maps to each input value exactly one output value.
Given the function as {(0,1), (2,3), (5,8), (7,2)}, you can rewrite it
- f(0)=1;
- f(2)=3;
- f(5)=8;
- f(7)=2.
Now consider all options:
- the ordered pair (0,2) cannot be add to this function, because then f(0)=2, but you have already that f(0)=1 and output value should be one value;
- the ordered pair (5,3) cannot be add to this function, because then f(5)=3, but f(5)=8 (given) and output value should be one;
- the ordered pair (7,0) cannot be add to this function, because then f(7)=0, but f(7)=2;
- the ordered pair (1,3) can be add to the set, because f(1)=3 is unique ordered pair (with 1st coordinate 1)
Answer: correct option D
Answer:
y = 13
z = 11
Step-by-step explanation:
14. We know that if the two triangles are congruent, then the hypotenuses will be the same. So we can say that
6y = 5y + 13
We can solve for y by subtracting 5 y from both sides and find out that y = 13.
15. Again, we know if the triangles are congruent then the two shorter legs will be the same, so we can say that:
3z = z + 22
2z = 22
z = 11
Answer:
58.50
Step-by-step explanation:
First find out how many were vanilla and chocolate
vanilla: 5/6 * 36 = 30
Chocolate = total - vanilla = 36-30 =6
Cost for vanilla = 1.50*30 =45
Cost for chocolate 2.25*6 =13.5
Add the cost together
45+13.50
58.50
1/2 z = -3/4 + 1/4 z
1/2 z - 1/4 z = -3/4
1/4 z = -3/4
z = (-3/4)/(1/4)
z = -3/4 x 4/1
z = -3
