Answer:
An equation to represent the situation would be:
Step-by-step explanation:
Given that the water supply is losing 4 gallons of water every second.
It means the rate of change = 4 gallons per second
- Given that after 15 seconds, the water level is at 1024 gallons.
So the equation becomes
1024 = 4(15) + b
comparing with the slope-intercept form of the equation of a line
where m is the slope (rate of change) and b is the y-intercept
so
So, the value of y-intercept i.e b=964
Thus, the equation will be
substituting the value rate of change i.e m = 4 and b=964
Therefore, an equation to represent the situation would be:
The first step for solving this expression is to write all numerators above the least common denominator. For this problem,, our least common denominator will be (x - 3) × (x - 4).
Now we will distribute 2x through the first set of parenthesis.
Distribute -4x through the second set of parenthesis.
Multiply the two parentheses in the denominator of the fraction together.
Collect the like terms with a variable of
x²
on the numerator (top) of the fraction.
Collect the terms on the numerator of the fraction with a variable of
x.
Lastly,, collect the terms with an
x variable on the denominator (bottom) of the fraction to get your final answer.
Let me know if you have any further questions.
:)
Answer:
When y = 15, x = -5.
Step-by-step explanation:
"y varies directly with x" signifies the linear relationship y = kx, where k is the constant of proportionality.
Substituting 6 for y and -2 for x into this equation yields the value of k:
6 = k(-2), or k = -6/2, or k = -3
Then the proportional relationship is y = -3x.
If y = 15, then we can write 15 = -3x, or x = -15/3, or x = -5.
When y = 15, x = -5.
Answer:
The answer is 1
Step-by-step explanation:
Anything to the zero power is 1
Answer:
-4 and 1/4
Step-by-step explanation: