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:
Step-by-step explanation:
she need to make $50 more you did not put how much shes making a week if she makes $10 it will be five more weeks if she makes $5 it will be 10 more weeks
38÷2= 19
19-10=9
Steve's age is 9
Answer: A
Step-by-step explanation:
We have that
y = 3x²<span>+ 2x + 1
step 1</span>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
y -1= (3x²+ 2x)
step 2
Factor the leading coefficient
y -1= 3*(x²+ 2/3x)
step 3
Complete the square. Remember to balance the equation by adding the same constants to each side
y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))
y-2/3=3*(x+2/6)²
the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)
the answer is
(-0.33,0.67)
