Answer:
Step-by-step explanation:
Linear function:
A linear function has the following format:
In which m is the slope and b is the q-intercept.
One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.
This means that we have these following points: (4,80), (10,44).
Finding the slope:
With a pair of points, the slope is given by the change in q divided by the change in p.
Change in q: 44 - 80 = -36
Change in p: 10 - 4 = 6
Slope: 
So
Finding b:
We replace one of the points. Replacing (4,80).
So
0.5 is a rational number.
Divide the perimeter by 2, this will give you the sum of one length and one width.
68/2 = 34 yards
Now the length is 10 yards more, so subtract 10 from the 34 and divide by 2 again:
34 - 10 = 24
24 /2 = 12
The width is 12 yards.
The length is 12 + 10 = 22 yards.
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is
We need to find the factored form of this expression.
Step 1: Given
Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).
Step 3: Taking out common factors from each parenthesis.
Step 4: Taking out common factors.
Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
