Answer:
k = 2
x = 2y
Step-by-step explanation:
If variables x and y vary directly, this is expressed as;
x ∝ y
x = ky
k is the proportionality constant
Let's assume the value of x and y since we are not given;
x = 20
y = 10
Substitute
20 = k(10)
10k = 20
k = 20/10
k = 2
Hence the constant of proportionality is 2
Substitute i=k = 2 into the equation x = ky
x = 2y
Hence an equation that relates x and y is x = 2y
<em>Note that the values here are assumed value, you can use the same method for any values of x and y</em>
(n^4 - 1) = (n^2 - 1) (n^2 +1) = (n - 1) (n + 1) (n^2 + 1)
Answer:
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Step-by-step explanation:
Consider the provided information.
We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.
You can use any situation to represents this equation.
The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.
Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.
Answer:
C. x-5=0 or x+3=0
Step-by-step explanation:
Given,
( By multiplication )
( By operating like terms )
( Subtracting 12 on both sides )
( By middle term splitting )
By the zero product property,
Hence, option C is correct.
Answer:
The most conservative sample size is 2401.
Step-by-step explanation:
We are given the following in the question:
We are not given any approximation of s]ample proportion, thus,
We have to construct a 95% confidence interval.
Margin of error = 2% = 0.02
Formula for margin of error =
Putting values, we get,
Thus, the most conservative sample size is 2401.
