The condition of poor roads can indeed have significant repercussions on numerous aspects such as physical health, emotional well-being, and economic stability for families, communities, and the nation. Dangerous roads can lead to accidents, affecting individuals physically. The stress of navigating damaged roads can cause mental strain. Economically, poor road conditions can lead to increased prices for goods, as it takes more time to transport them by road. Additionally, transport costs can rise significantly.
Response:
$54
Detailed steps to explanation:
Initially
45 multiplied by.05 equals 2.25
Next
45 added to 2.25
Following that
45 multiplied by.15 equals 6.75
Finally
45 plus 2.25 plus 6.75
Answer:
Dependent: Total cost of the ride.
Independent: Amount of rides.
Step-by-step explanation:
The independent variable represents what is adjusted, while the dependent variable signifies what alters as a result of that adjustment.
In this case, the total expense for rides fluctuates with any variation in the number of rides taken.
Therefore, the amount of rides is the independent variable whereas the total cost for rides is the dependent variable
Answer:
50 Educators
Step-by-step explanation:
To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.
An even function can be reflected over the y-axis and still remain unchanged.
Example: y=x^2
On the other hand, an odd function can be reflected around the origin and also remains unchanged.
Example: y=x^3
A straightforward method to determine this is:
if f(x) is even, then f(-x)=f(x)
if f(x) is odd, then f(-x)=-f(x)
Hence, for an even function
substitute -x in for each and check for equivalence
make sure to fully expand the expressions
g(x)=(x-1)^2+1=x^2-2x+1+1=x^2-2x+2 is the original expression
g(x)=(x-1)^2+1
g(-x)=(-x-1)^2+1
g(-x)=(1)(x+1)^2+1
g(-x)=x^2+2x+1+1
g(-x)=x^2+2x+2
Not the same, as the original contains -2x
Therefore, it is not even
g(x)=2x^2+1
g(-x)=2(-x)^2+1
g(-x)=2x^2+1
It matches, hence it is even
g(x)=4x+2
g(-x)=4(-x)+2
g(-x)=-4x+2
Not equivalent, thus not even
g(x)=2x
g(-x)=2(-x)
g(-x)=-2x
Not equal, therefore not even
g(x)=2x²+1 is the confirmed even function.
