You need to find a common factor that both the
numerator
and denominator have. 16 and 12 have common divisible factors of 2 and 4(excluding 1, because 1 is self-defined but doesn't simplify values at all).
We use the highest factor, in this case, 4.
Divide 16 by 4 and 12 by 4.
16/4 = 4
12/4 = 3
We put 4 in place of the numerator and 3 in place of the denominator.
It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.
The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
Answer:
x=0,3
Step-by-step explanation:
start by dividing every term by 3
x^3-3x^2+x-3
group into 2 terms
(x^3-3x^2)+(x-3)
simplify as much as you can
x^2(x-3)+(x-3)
combine terms
(x^2)(x-3)
x=3, 0
9514 1404 393
Answer:
- vertical stretch: the function value (f) is multiplied by the stretch factor
- horizontal stretch: the variable (x) is divided by the stretch factor
Step-by-step explanation:
A stretch can be vertical, horizontal, or both.
Multiplying the function value by a factor greater than 1 will stretch the graph vertically.
Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.
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The graph is stretched by the factor according to how it is applied.
