Let x be the length of the garden
and y be the width of the garden.
since you only enclose 3 sides of the garden by a 40 ft fence. so the equation for this is:
2x + y = 40
and the area of the garden is 100 sq ft, so in equation
xy = 100
from equation 1, 2x + y = 40
y = 40 - 2x
substitute to equation 2
xy = 100
x ( 40 - 2x) = 100
40x - 2x^2 = 100
2x^2 - 40x + 100 = 0
x = 2.9 ft
y = 34.5 ft
Positive infinity, I believe. Unless I'm missing something.
Add the following polynomials:
All polynomials are already ordered according to their degree (exponent), and therefore you can just add straight down in columns.
For x3: 2 + 1 - 3 = 0
For x2: -4 + 6 + 2 = 4
For x: 6 - 8 -4 = -6
Constants: -3 + 12 - 7 = 2
The answer is:
4x^2 - 6x + 2
Answer:
65
Step-by-step explanation:
https://www.gktoday.in/aptitude/the-next-number-of-the-sequence-3-5-9-17-33-is/
Answer: The correct option is B, i.e., 40 miles per hour.
Explanation:
Let the speed of bus in the afternoon route be x.
From the given information the average speed is 12 miles per hour less than the afternoon route. So, the speed of bus in the morning route is x-12.

So,

Time taken by bus in morning route is,

Time taken by bus in afternoon route is,

Since it is given that the time is same, so





Since x represents the speed of bus in afternoon route, therefore the correct option is B, i.e., 40 miles per hour.