One solution is (–1, <span> ⇒ 16</span>).
The second solution (2, <span> ⇒ 10</span>). your welcome
Answer with Step-by-step explanation:
The height of the ball from the ground as a function of time is given by

The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as
Part a)
Height of ball after 2 seconds it is released is

Part b)
Height of ball after 4 seconds it is released is

Let's say you have the equation
5x + 3y = 11
You are asked to test the ordered pair (1, 2) to see if it is a solution of the equation. A solution of the equation will make the equation a true statement. The ordered pair (1, 2) has 1 as its x-coordinate and 2 as its y-coordinate.
Substitute 1 for x and 2 for y in the equation. Then work it out to see if it is a true statement.
5x + 3y = 11
5(1) + 3(2) = 11
5 + 6 = 11
11 = 11
Since 11 = 11 is a true statement, the ordered pair (1, 3) is a solution of the equation.
9514 1404 393
Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
Answer:
t = 10

t = 100

t = 1000

Step-by-step explanation:
The area under the curve is calculated by using the following definite integral:



Evaluated areas are presented below:
t = 10

t = 100

t = 1000
