One form of the equation of a vertical parabola is y = x^2, which is the same as y-0 = a(x-0)^2.
If the coefficient a is positive, the parabola opens up. If a is - the parabola opens down.
The vertex of this parabola is (0,0).
More generally, y - k = a(x - h)^2 represents a vertical parabola that opens up if a is + and opens down if a is - and has its vertex at (h,k).
Often a = 1. If a is greater than 1, the graph of the parabola is stretched vertically; if less than 1, the graph is compressed vertically (and thus appears to be flatter).
y - k = a(x - h)^2 is called the 'general vertex form' of a vertical parabola.
This is a quadratic equation. With some algebra, we could rewrite
y - k = a(x - h)^2 in the form y = ax^2 + bx + c.
x-intercepts of this parabola, if any, can be found using the quadratic formula, involving the constant coefficients a, b and c.
Answer:
for every hour used, it costs $12
Step-by-step explanation:
you can find slope by using rise over run, which would be 12/1
So, the least number of cards they could have altogether is any value of integer Z, that is ranging from (0→∞). If starting from n=1, then X=8 and Y=9.
What is an integer?
- A whole number that can be either positive, negative, or zero is known as an integer.
Let Joe has x no. of cards,
then,
Millie has (3/4)x cards.
In that case, Let millie has a total y no. of cards,
then, Joe has (2/3) y cards.
This means that,
(3X)/4 = (2Y)/3
The alternate form shall be:
X = (8 Y)/9
(3 X)/4 - (2 Y)/3 = 0
Real solution:
Y=(9X)/8
Integer Solution shall be:
X=8n, Y=9n, n∈Z, where Z is the set of integers.
So, the least number of cards they could have altogether is any value of integer Z, that is ranging from (0→∞). If starting from n=1, then X=8 and Y=9.
Learn more about integers here:
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To complete the square (x+2/5)^2 it would be x^2+(4/5)x+4/25
Answer:
a b c e
Step-by-step explanation:
