Hmm,
ok,
complete square ok
wait wat
he went from
(x-3)²=16 to
x-3=16
?????
he square rooted the left side only
he has to do it to both sides
he should have done
(x-3)²=16
x-3=+/-4
x=3+/-4
x=7 or -1
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
- The equilibrium price is $1.12.
- If price is $0.98, there would be scarcity of Super Widgets.
- When price is $0.98, quantity demanded is y.
- When price is $0.98, quantity supplied is x.
- When price is $1.22, there would be a surplus of Super Widgets.
<h3>What is equilibrium? </h3>
Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.
Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.
To learn more about equilibrium, please check: brainly.com/question/26075805
#SPJ1
No, because using the vertical line test, two points touch on the same line
[3, 3]
[3,4]
Answer:
The answer is 3x-27
Step-by-step explanation:
If the angles are vertical from each other it means they are congruent. 2x+30 is 63, you plug in the x, 2(30)+30. You do that to the second one and also get 63, 3(30)-27. Therefore 3x-21 is the answer.