Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Answer:
21 7/8 square feet
Step-by-step explanation:
To solve the above Question, we have to used the formula of a parallelogram
The formula is given as:
Base × Height
Base = 6 1/4 feet
Height = 3 1/2 feet
Area = 6 1/4 × 3 1/2
Area = 25/4 × 7/2
Area = 175/8
Area = 21 7/8 ft²
Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner
Answer:
Tom spent $3.75 of Skittles
Step-by-step explanation:
If each Skittle packet was $1.25, then if that is multiplied by 3, the product of the equation is, 3 dollars and 75 cents/$3.75
1.25 x 3 = 3.75
Answer:
The journal entries as well as the T-accounts for August transactions are found in the attached spreadsheet.
Step-by-step explanation:
Initially, the transactions were posted individually in the journal and ultimately the related ones were combined together in the T-accounts.
For instance, cash related transactions are posted in the cash T-account to ascertain the true cash position as at the end of the quarter.
