Answer:
1. L= A/W
2. 4m
Step-by-step explanation:
We can define this problem as a word problem relating to mensuration of flat shapes, a
rectangle
1. Let the length be L and the width be W
Given
Area A= 6m²
W= 1.5m
We know that the area of a rectangular shape is
Area = L x W
The expression for the length is
L= A/W
2. The solution for the length is
6=1.5L
L= 6/1.5= 4m
Using a linear function, the correct option regarding the situation is given by:
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The bill is modeled by a linear function, with an <u>intercept of $38 and a slope of $1.28</u>, hence it is given by:
C(x) = 1.28x + 38
The bill should be between $57 and $87 dollars per month, hence:
57 <= C(x) <= 87.
The values of x are:
C(x) >= 57
1.28x + 38 >= 57
x >= 19/1.28
x >= 14.8.
C(x) >= 87
1.28x + 38 >= 87
x >= 49/1.28
x >= 38.3.
Hence option C is correct.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
Answer:
The position at time t is 
Step-by-step explanation:
From the question we are told that
The acceleration is 
The velocity at t = 0 is 
The position at time t = 0 is 
Generally acceleration is mathematically represented as

=> 
=> 
integrating both sides we have

=> 
Now at t = 0

=> 
So

Generally the position of the body is mathematically represented as

So

So

Now at t = 0

=> 
So

To get whether they are equal you have to cross multiply the numbers 18x16 and 48x3
48x3= 144
16x18= 288
144 is not equal to 288.
Therefore the rates aren’t equivalent.