Answer:
A, B, E, and F
Step-by-step explanation:
sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x are also defined for all values of x.
A and E are correct.
tanx is defined for all values of x.
However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.
B and F are correct.
C and D are <em>wrong</em>. Both sec⁻¹x and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.
In any given week, salesman A earns $65 per sale, so his paycheck amounts to

(where

).
Salesman B earns $40 per sale, with a weekly salary of $300, so in any given week this salesman earns

.
Salesman C earns a flat rate of $900 per week regardless of the number of sales, so his weekly pay is

.
Answer:
7 ordered with Soda;
3 ordered with water
Step-by-step explanation:
Given
With water
With Soda
So:
--- total
-- cost
Required
Find m and n

Make m the subject

Substitute
in 


Collect like terms



Solve for n





Answer:
3/8
Step-by-step explanation:
Let us represent the total fabric as an integer = 1
Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.
= 1/8, hence each section = 1/8
Then she cuts off 5 of the sections to make into placemats.
This is written as: 5 sections × 1/8 = 5/8
The fraction of the fabric that is left is calculated as:
1 - 5/8
Lowest Common Denominator = 8
Hence: 8 - 5/8 = 3/8
The fraction of the fabric that is left is 3/8