Ok
First factor out the first 2 terms as follows:-
y = 1/2(x^2 - 8x) + 21
Now complete the square on x^2 - 8x:-
y = 1/2[ (x - 4)^2 - 16] + 21
y = 1/2(x - 4)^2 - 8 + 21
y = 1/2(x - 4)^2 + 13 Answer
Answer:
y = 3x or x = 1/3y
Step-by-step explanation:
So, 4 cups of sugar is used in ONE muffin.
36 muffins is called yet Amelia will do 24.
Instead of multiplying 36, you will multiply 24 by 4.
24 × 4 = 96
She will need 96 cups of sugar to make 24 muffins.
The general rule for the nth term of the sequence is 
Explanation:
The sequence is -6b, -3b, 0b, 3b, 6b, .....
To find the nth term of the sequence, we need to find the common difference and the first term of the sequence.
First term of the sequence = -6b
Common difference = 
Using this the nth term of the sequence can be determined.
Since, this is an arithmetic sequence, the general form of AP is given by the formula,

where a denotes the first term of the sequence and d denotes the common difference. Thus,
and 
Substituting the values in the general formula, we get,

Thus, the general rule for the nth term of the sequence is 
Answer:
B.) 4.18 square inches
Step-by-step explanation:
Find the area of the one right triangle and multiply it by two. The formula for the area of a triangle is:

Insert the values. 1.1 is the base and 3.8 is the height:

Simplify:

Multiply the area of one triangle by two:

The total area of the shaded figures is

:Done