ANSWER
Quotient:

Remainder:

EXPLANATION
The given functions are

and

We want to find the remainder and quotient when f(x) is divided by g(x).
We perform the long division as shown in the attachment.
The quotient is

The remainder is
The answer is a = 
Step-by-step explanation:
<em>1. Convert the mixed fraction to an improper fraction</em>
To find the numerator, multiply the denominator by the whole number and add the numerator to it.
The denominator remains the same.
So, 2
will be 
<em>2. Now the equation is,</em>
a -
a =
+
a
<em>3. Take LCM on both sides. </em>
For the left side, multiply the first fraction by
and multiply the second fraction by 
a -
a = 
<em>4. Solve by making a the subject</em>
= 
= 
=10+8a
= 10 + 8a
a = 2(10 + 8a)
a = 20 + 16a
a-16a = 20
-15a = 20
a = 
a = 
Therefore, the answer is a = 
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Answer:
t =12 m
Step-by-step explanation:
We can use similar triangles and proportions to solve this problem.
Put the smaller triangle on top and the larger triangle on bottom
12 9
------ = -------
16 t
Solve by using cross products
12 t = 9*16
12 t =144
Divide by 12
12t/12 = 144/12
t = 12
Answer:
3/2
Step-by-step explanation:
The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.
Therefore
2y=3x-4 and dividing both sides by 2 to have y at the LHS
y=3/2x-2
Therefore, 3/2 represents the gradient/slope
These are fractions? Like 13/20 and 7/10? Is so the symbol would be 13/20 < 7/10 because 7/10 is a higher fraction than 13/20