Answer:
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is

In your case,
Width = 3 feet
Length = x feet
So, the perimeter is

Since the perimeter is 16 feet, we have

Hence,
p = 2
q = 6
r = 16
Solve this equation for x:

An equation is formed of two equal expressions. The value of the constant of proportionality is 0.41.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given there exists a proportional relationship between the number of juice bottles bought, j, and the total cost in dollars and cents. Therefore,
c ∝ j
c = kj
As the relation is represented by the equation c=0.41j. Therefore, the value of the constant of proportionality is 0.41.
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Answer:
n² + 3
this is the expression
Step-by-step explanation:
Given:
1. Combining like terms (here terms 6x and 2x both contain x, then we can combine them):

2. Distributive postulate:

The equation is

3. Zero product postulate (zero product postulate state that if a product of two factors is equal to zero, then first factor is equal to zero or second factor is equal to zero):

4. Subtraction property of equality:
a) subtract 6 from the first equation:

b) subtract 2 from the second equation:

Answer:
f(x)=4x
Step-by-step explanation:
Let's look at the progression of f(x) values as the x value goes up. The x value goes up in steps of 1, but the f(x) value goes up in steps of 4. This means that the f(x) value grows 4 times faster than the x value. Comparing them side by side, you can see that each f(x) value is indeed 4 times larger than the corresponding x value. Therefore, the descriptive function is f(x)=4x.