Part (b)
We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.
-----------------
This means,
is the solution with the initial condition y(0) = 0.
Answer:
There are 80 marks in total.
Step-by-step explanation:
Let the number of total marks be 
.
The percentage score of the student can be written as the ratio
.
However,
.
Equating the two:
.
Cross-multiply (that is: multiple both sides by 
, the product of the two denominators) to get
.
.
In other words, there are 80 marks in total.
Answer: D
Step-by-step explanation:
Using the equation plot in the coordinates of the points to see if they fit the equation.
5x-3y < 30
A) 5(-3) -3(5) < 30
-15 -15 < 30
-30 < 30 This is true
B) 5(0) -3(0) < 30
0 - 0 < 30
0< 30 This is true
C) 5(-5) - 3(3) < 30
-25 - 9 < 30
-34 < 30 This is also true
D) 5(3) - 3(-5) < 30
15 + 15 < 30
30 < 30 This is not true because 30 is not greater that 30
Answer:
A library
Step-by-step explanation:
No explanation needed
Answer:
There are no options, so i will answer in a general way.
In a function:
y = f(x)
The output is y, and the input is x, and the ordered pair is written as (x, y)
In this case, we have the function:
y = -7*x + 6
Then we need to have different inputs and then find the outputs for each.
For example, if x = 1.
y = -7*1 + 6 = -1
Then we have the ordered pair (1, - 1)
if x = 0
y = -7*0 + 6 = 6
then we have the ordered pair (0, 6)
The general ordered pair is written as:
(x, y = -7*x + 6)
or:
(x, -7*x + 6)
Where you only need to replace the value of x.
