Equation to find number: 
- 3 = 
Number's value: n = 
Step-by-step explanation:
Let n be the unknown number.
The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be .
The difference of three and the reciprocal of a number () would be - 3.
The quotient of 20 and the number (n) would be .
So, with this information we've gathered so far, we can come up with an equation to find what the number equals.
Equation: - 3 =
To find what the number equals we must solve the equation.
Answer:
Factors of the constant term
Step-by-step explanation:
"<span>all real numbers between 3 and 10 inclusive" could not be the answer, because these are x-values (values of the independent variable).
"</span><span>all real numbers between 19 and 54 inclusive" is the range. Why? Because in year 3, f(3) = height of tree = 5(3) + 4 = 19 feet.
In year 10, f(10) = 5(10) + 4 = 54 feet. </span>
Answer: 120 seconds
Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.
f'(x)=(-3x^2 + 12x)'=-6x+12=0
x=2
When x is 2, the function will reach its maximum value.
f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12
The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.
Answer:
B
Step-by-step explanation:
The vertex is the turning point of the quadratic function.
In this case it lies on the x- axis at (2, 0 ) → B
