Answer:
Step-by-step explanation:
According to the given table, the variables have a linear relation, because there's a constant change involved.
Notice that p-variable increases by one unit, while q-variable increases by 10 units. That means the ratio of change is
Then, we use one pair of elements, like (3,30), and the point-slope formula to find the equations.
Therfore, the equation that represents the table is
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
The statements that are true are
- This graph is a function because the value of x is the same for every value of y
- The equation of this line is x = 3. Options B and D
This is further explained below.
<h3>What are the
statements?</h3>
Generally, A relation is considered to be a function if it can be shown that each value from the set of first components of ordered pairs is connected with precisely one value from the set of second components of ordered pairs.
In conclusion, You may also consider this in terms of the fact that there is one and only one y associated with each x.
Although it is obvious that this is not the case, the calculation for the vertical line nevertheless uses these terms.
Read more about function
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Hey!
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-x = -1
This statement shows that y equals -1. Since it doesn't show a table or word problem then we already know that the constant of proportionality is -1. Or if you just have the expression just divide the number by 1. -x/1 = -1!
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Thus, -1 is the constant of proportionality!
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Hope This Helped! Good Luck!
