Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Answer:
Yes, f(x) = 
is a constant function.
Step-by-step explanation:
A function is defined to be a relation from 1 set of numbers to another set of numbers.
The main condition for a relation to be a function is that for every number in the domain there should be a <u>unique image</u>
Here the given function is f(x) =
This function is a constant function and gives the value 0.75 for all values of x.
Hence the graph would be a straight line parallel to the x-axis passing through y = 0.75.
Hence the f(x) = 0.75 is a function.
Answer:
11, 13 and 15.
Step-by-step explanation:
Let's say that the odd number is "x". If x is for example 15, then the next ODD number would be 15+2=17 and the one after that would be 15+2+2=15+4=19.
Applying that here, we get:
Odd number* the next odd number*the next odd number=2145
x*(x+2)*(x+4)=2145
x*(x^2+4x+2x+8)=2145
x^3+6x^2+8x=2145
By solving the polynomial, you get x=11.
Which makes our three numbers: 11, 13 and 15.
11*13*15=2145. The answer checks.
14.7x + 4x = 0*(49y+39y) y = 14
18.7x = 0(686 + 546)
18.7x = 0
x = 0
