Summarizing the problem, there are three terms that you have to deal with: purchasing cost, down payment and loan. So, you would expect that the answer would contain these quantities. Among them, the unknown is the purchasing cost, therefore, we denote this as x.
<span>Based on the statement, "The amount of the loan is the purchase cost minus the down payment", we can formulate an equation for this.
Amount of Loan = x - Down payment
This will be our working equation. Moving on, the down payment was mentioned to be equal to </span>$1500. The lean received is equal to <span>$2600. Substituting these values to the working equation, we can now determine the value of x.
2600 = x - 1500
Solving for x by transposing it to one side,
x = 2600-1500
x = $1,100
Therefore, the purchasing cost of the car is $1,100.</span>
It already is in simplest form because the numerator and denonimator don't have a common factor to then divide them by.
Answer:


Step-by-step explanation:
Let
. We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get


whose unique solutions are
, but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get


whose unique solutions are
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
Answer:
Step-by-step explanation:
hope this helps!
Answer:
1/5
Step-by-step explanation:
this is because 4/20 simplifies to 1/5
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hope this helps :)