The sum of two numbers s 21. The larger number is 6 less than twice the smaller number. Find the two numbers
2 answers:
Let the larger number be 'x' and smaller number be 'y'.
Since, the sum of two numbers is 21.
So, (equation 1)
Since, the larger number is six less than twice the smaller number.
So, (equation 2)
Substituting the value of 'y' from equation 2 in equation 1.
So,
So, y=9.
Since, x+y=21
x = 21-y
x = 21-9
x = 12.
So, the larger number is 12 and smaller number is 9.
You might be interested in
Answer:
(-2,-36)
Step-by-step explanation:
<u>1) Find the zeros of the parabola</u>
The zero-product property states that any value, when multiplied by 0 will equal 0. Therefore, to make y=0, either (x-4)=0 OR (x+8)=0.
Therefore, x=4 and x=-8.
<u>2) Find the x-coordinate of the vertex</u>
To do this, we take the average of our zeros.
Therefore, the x-coordinate of the vertex is -2.
<u>3) Find the y-coordinate of the vertex</u>
Plug the x-coordinate back into the original equation
Therefore, the y-coordinate of the vertex is -36.
Therefore, the vertex of the parabola is (-2,-36).
I hope this helps!