This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that
. Solving for x, you get 4.
Then, substitute 4 into one of the original equations to find y.
.
The solution is
. I have attached a graphical representation of the solution as well.
Step-by-step explanation:
1 hour - $8.50
21.5 hours (one week) - $8.50 × 21.5 = $182.75
One week = $183
Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.
That's choices B & D
Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.
A function works like this:
You put any number you want into the input, and
the output depends on the number you put it.
That's why the output is the dependent variable.
Answer:
x = 27/10 or x = 2.7
Step-by-step explanation:
Step 1: Get rid of the denominator.
LCD of 4 & 3: 12
Multiply both sides by 12.
12 ( 2x - 1 / 4 ) + 12 ( x / 3 ) = 12 (2)
Reduce the numbers.
3 ( 2x - 1) + 4x = 24
Step 2: Distribute.
6x - 3 + 4x = 24
Step 3: Collect like terms.
6x + 4x = 24 + 3 ( - 3, the sign change when moved to the other side)
10x = 27
Step 4: Solve for x.
Multiply both sides by 10.
10x / 10 = 27 / 10 (the 10 cancels out)
x = 27 / 10 or x = 2.7
Answer: x = 27 / 10 or x = 2.7
