Step-by-step explanation:
In the first part, he was travelling with twice the speed, or Vs, for distance
48 - d, for 2 hours.
speed = distance/time
distance = speed * time
First part :
48 - d = 2V * 2
⇒d + 4V = 48
Second part:
d = V * 2
⇒d = 2V
Substitute 2s for d in equation 1.
2s + 4s = 48
6s = 48
s = 8
The speed in the second part is 8 mph.
<u>The speed in the first part is 2s = 2(8) = 16</u>
I hope this helps
Answer:
To fill the sandbox, she would need 15 cubic feet.
Step-by-step explanation:
To find the volume of a box, multiply all of its dimensions together.
6ft * 5ft * 1/2ft = 15ft^3
So, since she bought 20 cubic feet of sand, she should have enough with 5 cubic feet left over.
Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter
, while the output, also known as dependent variable, is often indicated with the letter
.
With this notation, we write
, read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.
In your example, you have
, which means "subtract four times the input (4x) from 2"
So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:
- Pick an input value, x
- Multiply it by four to get 4x
- Subtract this number from 2: 2-4x
Here are some examples of explicit calculations: if I choose
and input, the workflow will be
- Pick an input value, 2
- Multiply it by four to get 8
- Subtract this number from 2: 2-8=-6
So, if the input is 2, the output is -6
Similarly, if we choose
as input, we have:
- Pick an input value, 0
- Multiply it by four to get 0
- Subtract this number from 2: 2-0=2
So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.