A and E.
x= (1+ root-71)/6 and x= (1-root-71)/6
Step-by-step explanation:
n2+5=21
n2 =21-5
n2 = 16
n =16/2=8
Answer:
- 2/5x=7/20x+1/4
- -3/4=-1/20x-1/2
- -3/4+1/20x=-1/2
Step-by-step explanation:
If you add 3/4 to both sides of the equation, you get ...
... 2/5x = 7/20x + 1/4 . . . . first choice
If you subtract 2/5x from both sides of the equation, you get ...
... -3/4 = -1/20x -1/2 . . . . third choice
If you subtract 7/20x from both sides of the equation, you get ...
... -3/4 +1/20x = -1/2 . . . . last choice
Choices 2 and 4 are erroneous versions of choices 1 and 3, so do not apply.
Step-by-step answer:
The steps are much easier to follow when we know how many product it sells. The number does not really matter, because we need the profit per item.
Say, the company made and sold 100 items of the product.
The revenue = 100*5 = $500.
On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so
replacement cost = 2* 100 = 200
So net profit for 100 items = $500 -$200 = $300
Net profit for each item = $300/100 = $3.00
Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.
Let's x represents the first odd integer
The next consecutive integer would be represented as x+2.
So x and x+2 being multiplied together will give us 1443:
(x)(x+2)=1443
x^2+2x=1443
x^2+2x-1443=0
By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.
Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.
With that said you 1st pair will be: 37,39
Your second pair will be: -37,-39.