Answer:
Step-by-step explanation:
Given infinite system of linear equations is ax + by = 0
when (a,b) moves along unit circle in plane.
a) system having unique system (0, 0)
Since two of equation in thus system will be
and
It is clear that x = 0, y= 0 is the only solution
b) Linear independent solution in this system gives some set of solutions
and
Vector form is
![\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%3DI)
c) for this equation if add 0x +0y = 0 to system , Nothing will change
Because [0,0] satisfies that equation
d) If one of the equation is ax + by = 0.00001
where 0.00001 is small positive number
so, the system will be inconsistent
Therefore, the system will have no solution.
Same would need to get at least a 95% on the next test, if he would like to receive a total average of an 80%
Answer:
Lets say test tubes = t, and beakers = b
1 pack of (t) is $4 less than 1 pack of (b)
Since i have no prior information we are going to use variables for this equation:
1t (1 pack of test tubes) is $4 less than 1b (1 set of beakers)
so to quantify the equation, we have 8t and 12b.
if b is a number that IS quantifiable such as $5 we can easily figure out this answer.
Lets use and example that 1 set of beakers is $8, if we multiply $8 by 12 (the number of sets of beakers), we get: 96
Using the same example, if 1t is $4 less than 1b than 1t = $4. So, if we multiply $4 by 8 (the amount of packs of test tubes), we get: 32
If you take both of those numbers: 96, and 32 and you divide them you get 3. so that means that 1t = 3b
Answer = 1t = 3b
This may not be correct due to the little information that i got however i hope that, that works out for you :)
<span>The function best describes the amount she is able to put into savings, h, each year, in thousands of dollars is </span><span>h(x) = 15x + 5.</span>
