At heart we're being asked for a line through two points,
In general the line through (a,b) and (c,d) is
Check that you understand why both (a,b) and (c,d) are on this line.
Here our indepedent variable, instead of x, is T, temperature. Our dependent variable is v, velocity. Substituting,
That's our answer; let's check it.
When T=40, v = (5/9)40 + (2995/9) = 355 good
When T=49, v= (5/9)49 + (2995/9) = 360 good
Only 3(a−b) and 3a−3b are equivalent
Further explanation:
We have to evaluate each expression to evaluate if the expressions are equivalent or not.
So,
<u>For 3(a−b)</u>
As we can see that 3(a-b) results in 3a-3b so these are equivalent
<u>For 2a(2+b)</u>
As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent
Hence,
Only 3(a−b) and 3a−3b are equivalent
Keywords: Equivalent expression, Polynomials
Learn more about polynomials at:
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