Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
Answer:
B
Step-by-step explanation:
First you find the amount of people at the reunion which was 80. Then you find 25% of 80. 25% of 80 is 20. The only age group with 20 people is the 20-29 year olds.
Answer:
x <5
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x +21
Subtract 5x from each side
8x -5x +6 < 5x-5x+21
3x +6 < 21
Subtract 6 from each side
3x+6-6 <21-6
3x <15
Divide each side by 3
3x/3 <15/3
x <5
Answer:
300x^12/15x^10=300/15*x^12/x^10=20*x^2=20x^2
a^4/a^4=1
g^6/g^10=g^-4=1/g^4
so the answer is (20x^2)/g^4
Step-by-step explanation:
Step-by-step explanation:
Since we have a vertical directrix, the equation of the parabola is
Where p is the distance from the vertex to the directrix.
or the distance from the vertex to the focus.
Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.
So our vertex is (0,0).
So our equation become
The distance from the focus and directrix is 6.
So p=6.
So p is 6.
Since p is 6,
