Answer:

Step-by-step explanation:

Given:
Initial point = (–5, 3)
Terminal point = (1, –6)
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1.
Solution:
The interval is 0 ≤ t ≤ 1, initial point is (–5, 3) and terminal point is (1, –6). It means,


Put t=1 in each parametric equation.
In option A,

In option B,

In option D,

Therefore, options A, B and D are incorrect.
In option C,


Put t=0 in x(t) and y(t).


Since, only in option C
, therefore, the correct option is C.
0.23 is bigger, because 1/5 is only 0.20 in decimal form
Answer:
7 quarters, 8 nickels
Step-by-step explanation:
So the system of equations you have is:
x + y = 15
0.25x + 0.05y = 2.15
Here's how to solve:
first, multiply both sides of the equation 0.25x + 0.05y = 2.15 by 100 to get rid of the decimal places:
25x + 5y = 215
Then, you can divide both sides by 5 to simplify it more:
5x + y = 43
Now, you have the system of equations:
5x + y = 43
x + y = 15
Now subtract the two equations:
4x = 28
divide both sides by 4
x = 7
plug x = 7 into the equation x + y = 15 to solve for y:
7 + y = 15
subtract 7 from both sides
y = 8
So you know that there are 7 quarters and 8 nickels.