A rebate means that the buyer receives back a portion of
the original price of the item. So in this case, the rebate prices must be
deducted from the original price to get the final price, that is:
final price = $2,746 - $49.95 - $38.95
<span>final price = $2,657.1</span>
No they won’t be.Consider the linear combination (1)(u – v) + (1) (v – w) + (-1)(u – w).This will add to 0. But the coefficients aren’t all 0.Therefore, those vectors aren’t linearly independent.
You can try an example of this with (1, 0, 0), (0, 1, 0), and (0, 0, 1), the usual basis vectors of R3.
That method relied on spotting the solution immediately.If you couldn’t see that, then there’s another approach to the problem.
We know that u, v, w are linearly independent vectors.So if au + bv + cw = 0, then a, b, and c are all 0 by definition.
Suppose we wanted to ask whether u – v, v – w, and u – w are linearly independent.Then we’d like to see if there are non-zero coefficients in the linear combinationd(u – v) + e(v – w) + f(u – w) = 0, where d, e, and f are scalars.
Distributing, we get du – dv + ev – ew + fu – fw = 0.Then regrouping by vector: (d + f)u + (-d +e)v + (-e – f)w = 0.
But now we have a linear combo of u, v, and w vectors.Therefore, all the coefficients must be 0.So d + f = 0, -d + e = 0, and –e – f = 0. It turns out that there’s a free variable in this solution.Say you let d be the free variable.Then we see f = -d and e = d.
Then any solution of the form (d, e, f) = (d, d, -d) will make (d + f)u + (-d +e)v + (-e – f)w = 0 a true statement.
Let d = 1 and you get our original solution. You can let d = 2, 3, or anything if you want.
Answer:
, Terminating
Step-by-step explanation:
Mackenzie has 32 books and 12 of which are by her favorite author.
One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)
This in the form of a fraction would be 
Now, let us reduce this fraction.
Both terms can be divided by 4
Recall that 
This means that
As you can see. this decimal stops after 3 places, which means that it is terminating.
Answer:
one-quarter times the number of pears, plus four and one-half is forty-four and one-half
Step-by-step explanation:
The total weight (44.5 lb) will be the sum of the empty weight (4.5 lb) and the number of pears multiplied by the pear's weight. That can be expressed as ...
one-quarter times the number of pears, plus four and one-half is forty-four and one-half
Assuming the rotation is around the origin (0,0) then A' = A. The parallelogram is in its original location
