Answer:
See the attached figure
y-intercept is the value of y when x = 0
Given the functions:
y = 3^x ⇒ the graph with the blue color
y = 2(1/2)^x ⇒ the graph with the red color
y = (1/4)^x ⇒ the graph with the green color
<u>As shown:</u>
<u>y = 3^x</u>
y-intercept at (0, 1)
graph initially increases slowly and then increases rapidly
<u>y = 2(1/2)^x</u>
y-intercept at (0, 2)
graph initially decreases rapidly and then decreases slowly
<u>y = (1/4)^x</u>
y-intercept at (0, 1)
graph initially decreases rapidly and then decreases slowly
Answer:
1 1/4
Step-by-step explanation:
The least sum is the sum of the least numbers. The smallest number you can choose from the first interval is 1/2; the smallest number you can choose from the second interval is 3/4.
The sum of 1/2 and 3/4 is 5/4 = 1 1/4. This is the smallest possible sum for the numbers described.
Answer:
233.8 Yards
Step-by-step explanation:
Given that,
Length of a rectangular field, l = 227 yards
Breadth of a rectangular field, l = 56 yards
Let x is the distance from one corner of the field to the opposite corner. It can be calculated using Pythagoras theorem,

So, the distance from one corner of the field to the opposite corner is 233.8 Yards.
We know that the total is 180 degrees of the lines.
To find x:
(5x+20)+(4x-11) = 180
x=19
To find y, input the value of x into the equation 4x-11 since this equation is equal to 2y+19
4(19)-11 = 65
2y+19 = 65
y=23