It is called being proportional,
Ex. so every three grapes you eat, i eat four
every 6 you eat, I eat 8, etc. etc.
X-intercepts are found by factoring. Use the quadratic formula on the first since it's in standard form and you find that your x values are in fact -3 and 7. For the second one, use the Zero Product Property that says that x - 3 = 0 or x + 7 = 0. Therefore, x = 3 and -7. Signs are wrong. So not the second one. As for the third one, if you factor out a 3, your polynomial is exactly the same as the first one which did give us the desired x values. So the third one checks out. If you FOIL out the first one and then apply the quadratic formula you do get x = 3 and -7. So the fourth one checks out too. For the last one, putting it into the quadratic formula gives you x values of 3 and -7, so no to that one. Summary: 1st, 3rd, 4th have zeros of -3 and 7; 2nd and 5th do not.
Answer:
g(f(x))= (x+3)(x+3)
Step-by-step explanation:
f(x) =x² + 6x +7
g(x)= x + 2
1st Step: Substitute the x in g(x) =x + 2 by the value of f(x)
g(f(x))= (x² + 6x +7) + 2
g(f(x))= x² + 6x + 9
2nd Step: Simplify
g(f(x))= x² + 6x + 9
g(f(x))= (x+3)(x+3)
Answer: The answer is the first bubble
Step-by-step explanation:
1. When you identify the pairs you get: { ( -5,-4), (-1,5), ( -5,3) , (7,8) }
2. When figuring out whether or not it is a function, you have to see if there are any same y values. If there is no y values that are the same, then the relation is a function.
3. This relation is a function.
* Also, if you have a relation that has the two or more of the same x values, the relation is still a function no matter what.