75%
30/40 means its 75% out of 100%
75$ representing the 30 and the 100$ representing the 40
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Answer:
x = 2.25
Step-by-step explanation:
-9(x - 5) = x + 22 1/2
Distribute the nine and then add 9x to both sides
-9x + 45 = x +22 1/2
+ 9x + 9x
Then try to get x alone
45 = 10x + 22 1/2
-22 1/2 -22 1/2
22.5 = 10x
2.25 = x
The length of the flagpole is x - 5 yards
<h3>Area of a square</h3>
The formula for calculating the area of the flagpole is expressed as:
A = L²
Given that;
A = x² - 10 + 25
Factorize
A = x² - 5x - 5x + 25
A =(x - 5) - 5(x - 5)
A = (x-5)²
Compare
L = x - 5 yards
Hence the length of the flagpole is x - 5 yards
Learn more on area of a square here: brainly.com/question/13389992
#SPJ1
