Answer:

Step-by-step explanation:
Consider a quadratic equation given by
.... (1)
The quadratic formula then is

The quadratic equation provided is

This can be expressed as
.... (2)
By comparing (1) and (2), we derive:

Plug these values into the quadratic formula.




Factoring out common elements.


The two solutions are
and 
We recognize that

Thus,

Consequently, root
is positive while
is negative.
Answer:
x≥(500-87)/40
Step-by-step explanation:
You require 500 lbs and you're starting with 87, so you must acquire at least 413 bags. Since they are sold in 40 pound bags, you divide by 40. You must round up to ensure you have enough bags to meet the 500 lbs needed.
Answer: The loss percentage per gallon is 23.17%
Step-by-step explanation:Original price per gallon is $ 2.59
Discounted price per gallon is $ 1.99
Now, we will calculate the percentage loss per gallon, using the Direct Rule of Three as follows:
Price Percentage
2.59 100
1.99 x*****************************
2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
So the percentage loss = 100 - 76.83
The percentage loss is 23.17%
The results are as follows: C. Left-handed: 48, Right-handed: 504. D. Left-handed: 30, Right-handed: 315. Explanation: With 58 left-handed and 609 right-handed students at East Middle School, the proportion of students on both hands at West Junior High must match. We can identify viable ratios based on this information. The ratio of right-handed to left-handed students at East Middle School is derived, then examined against the options provided.