Answer:

Step-by-step explanation:
Given

Required
Write in Standard Form
To start with; the two monomials have to be multiplied together;


Split the numerator and the denominator

Multiply Like terms

Divide 9 by 3 to give 3

Divide n³ by n to n²

Split fraction

From laws of indices;

becomes

Multiply all together

Hey there!
If the price per orange is $.26 and we want to know how many oranges he bought and we have our total, we can set o equal to how many oranges he got and set up an algebraic equation:
0.26o = 2.08
We multiply .26 by o because o is how many oranges he bought and that's what we're solving for- so we multiply by the unit price.
To isolate o, we divide both sides by .26 to get:
The answer is C- Jim bought 8 oranges.
Hope this helps!
Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is

Here,

The numerator polynomial can be written as

So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx