The standard form is (x - h)2<span> = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the </span>parabola<span> is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an </span>equation<span> of (y - k)</span>2<span> = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.</span>
Explanation:
It depends on the definition of "factor" that you use.
One dictionary defines "factor" to be ...
"a number or quantity that when multiplied with another produces a given number or expression"
In that sense, 7 can be a factor of 3, because 7 × (3/7) = 3.
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Often we use the term "factor" when we mean "integer divisor", or "positive integer divisor". Using this last definition, the only factors of 3 are 1 and 3.
Other times, we use the term "factor" to mean "prime factor." By this definition, the only factor of 3 is 3 itself.
The range would consist of all real numbers EXCEPT for zero
Answer:
Step-by-step explanation:
If all the tickets were adult tickets, the total cost would be $3200.
subtract $3 for every child ticket
3200-2750= 450 so we need to subtract $450
450/3 is 150 so there are 150 children tickets
Substitute x-values into x.
e.g. y>-3.5x + 2
let x be 1...
thus, y>-3.5(1) + 2
y> -1.5 or y<1.5
another e.g. let x be 2.
y> -3.5(2) + 2
y> -4.4 or y<4.4
And so forth. pluck in these coordinates into you graph and sketch a line through the points.
NOTE: < in my explanation is equivalent to less than or equal to. same goes to >… greater than or equal to.
I hope you followed through. Good luck!
