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.
Mr. Brown can make fewer than 6 full groups to give presentations.
<h3>Inequality</h3>
Inequality is an expression used to show the non equal comparison of two or more numbers and variables.
Let x represent how many full groups Mr. Brown can make.
He wants each group to have 4 students. There are fewer than 24 students in class today, hence:
Mr. Brown can make fewer than 6 full groups to give presentations.
Find out more on inequality at: brainly.com/question/11613554
Answer:
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Step-by-step explanation:
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Assuming the die had 6 sides, there would be a 1/6 chance of getting the number 3.
630 / 6 = the theoretical amount of times you should get any number on the dice
630 / 6 = 105
105 is closest to B. The answer is B.
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