Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time
Where 
is the initial velocity and 
is the initial height.
We know that
Then the equation of the height is:
For a quadratic function of the form 
where 
the maximum height of the function is at its vertex.
The vertice is
In this case
Then the vertice is:
Now we calculate h (6)
The maximum height is 784 feet
Answer: 144
Step-by-step explanation: The problem shown here can be read as "10 to the 2nd," oe "12 to the 2nd power."
The 12 is called the base and the 2 that is raised up is called the exponent.
The exponent of 2 tells us that we multiply our base 2 times.
So we have 12 · 12 which is 144.
The numbers that we multiply together are called factors so in this problem, we have 2 factors of 12.
Answer:
The answer is the third picture
Step-by-step explanation:
Step-by-step explanation:
the estimated increase in height of baby each year would be 3 inches.
