A number is 2/3 of another number. Both added together equals 50.
One of these numbers consists of three parts, and the other consists of two of those three parts. So, there are 5 equal parts in total.
Thus we need to divide 50 by 5. 50 divided by 5 equals <u>10</u>.
The first number, which has three parts, is 30. The second number, which as two parts, is 20.
I hope this makes sense to you. :D Good luck in all your studies!
Answer: The graph becomes narrower
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
- (h. k) represents the vertex
A vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
The statement which best describes the association between the variables X and Y is the <em>moderate positive association</em>. It is observable that the values of X and Y are increasing, however, not in a perfect manner as there are some minor deviations. But nonetheless, the direction is clear and the values are close to each other so they have a moderate positive association.
- Zero Product Property: if a × b = 0, then either a or b = 0 or both a and b = 0.
(Make sure to set f(x) to zero)
So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 
Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as: 
Now apply zero product property to the factors to solve for x:
<u>The x-intercepts are (1/5 ,0) and (-1,0).</u>
