Answer:
Step-by-step explanation:
According to the question we are given an equation that represents the given situation as d = 40t where;
d is the distance in km
t is the time in seconds.
The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;
p = kq (p and q are the variables)
A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t
Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.
The solution is d =
Answer:6
Step-by-step explanation:9x6=54
54+2=56
Answer:the solution is d=6
Step-by-step explanation:9*6+2=56
Answer:
2W²-W-28 = 0 is the equation.
Step-by-step explanation:
To form the equation we should always follow the statement as said.
First statement is
The length (L) of a rectangle is 1 less than twice of width (W).
Means L = 2W - 1 -------(1)
Second statement
Area of the rectangle is 28 feet²
Means L×W = 28 ------(2)
Now by putting the value of L from equation 1 to equation 2.
(2W - 1)×W = 28
2W² - W = 28
2W² - W - 28 = 0
This the equation that represents the situation.
The product of the given equation [(x + 1)(x - 1)]2 can be mentally calculated by recognizing it as a difference of squares expression followed by applying the square of a binomial formula, giving us x^4 - 2x^2 + 1 as the final answer.
To find the product of the given equation mentally, we need to understand some basic algebraic laws. (x + 1)(x - 1) is a difference of squares, which simplifies to x2 - 1. We then square this expression, as indicated by the '2' outside the parentheses, which gives us (x2 - 1)2.
Finally, applying the square of a binomial formula (a - b)2 = a2 - 2ab+ b2 on our expression, we get x4 - 2x2 + 1 as the final product. Now this final product is the simplest form of your given equation.
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