Answer:
-8-3
Step-by-step explanation:
-4(8r+3)
-32r-12
divide both sides by 4
-8-3
1.33333
Step-by-step explanation:
Don't worry it checks out.
Answer:
6,000 toothpicks
Step-by-step explanation:
In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.
What we do is this!
Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.
First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x
Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.
Now revenue from sales for x toothpicks at $0.02 each is $0.02x
Since we are looking to Breakeven, we equate the costs to the revenue.
0.01x + 60 = 0.02x
0.02x-0.01x = 60
0.01x = 60
x = 60/0.01 = 6,000 toothpicks
Answer:
Step-by-step explanation:
Given: sin x + cos x
To change the given trigonometry expression in term of sine only.
Trigonometry identity:-
Expression: 
We get rid of cos x from expression and write as sine form.
Expression: 
Hence, The final expression is only sine function.
Answer:
<h3>
R(-1, -9)</h3>
Step-by-step explanation:
When we reflect over x-axis then the x-coordinate doesn't change and the y-coordinate changes its sign
in means if R = (x, y) then R' = (x, -y)
so we have:
x = -1 and -y = 9
y = -9
which gives R = (-1, -9)
