Direct variation: y=kx where k is some number thats not 0
that means if x is 2, y is 2k. if x is 1, y is k. if x is 0, y is 0.
notice: no matter what k is, when you put 0 in for x, y will always be 0. that means that a direct variation always goes through the origin, a.k.a. (0,0).
do all lines go through the origin? nah. a line is y=mx+b, where m and b are some numbers. a line is only a direct variation if b is 0. this makes sense because if b is 0, then the y-intercept is 0, so the line goes through the origin.
in conclusion, no, not all linear relationships are direct varations, but all direct variations are linear relationships.
Answer:
Step-by-step explanation:
The GCF if 24s^3, 12s^4 and 18s is
24s^3: 2^3 * 3 s s s
12s^4: 2^2 * 3 s *s* s* s
18s: 3^2 * 2 s
3s is the GCF
The range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The exponential function is given below.
f(x) = 2.7ˣ
We know the value of the exponential function is always positive.
Then the range of the exponential function f(x) = 2.7ˣ will be from zero to infinity that is (0, ∞).
More about the domain and range link is given below.
brainly.com/question/12208715
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18 x 20 = 360
360 / 20 = 18
So 18 is the answer
The whole school would have 170 students that have a dog
