Answer:
The values of and so that the two linear equations have infinite solutions are and , respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are<em> linearly dependent</em>. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
(1)
(2)
The following condition must be observed:
(3)
After some quick operations, we find the following information:
, ,
The values of and so that the two linear equations have infinite solutions are and , respectively.
Answer:
Step-by-step explanation:
We can use algebra to write the decimal in p/q form.
It is now in p/q form.
Answer:
0.75 could be a 25% discount. 1.06 could be a sales tax.
Step-by-step explanation:
If p is the original price, then 1.06p could be the amount after a 6% tax is include. Then multiplying by 0.75 could indicate a 25% discount (if you <u>don't</u> pay 25% = 0.25, then you <u>do</u> pay 75% = 0.75).
In case you're wondering about discounting <u>first</u> then charging tax, the result is the same because the multiplication can be done in either order.
0.75(1.06p) = 1.06(0.75p)
I'm almost positive the answer is C.<span>Samara’s sample is random because she asks the first 10 people she sees.</span>