Answer:
reflects the required domain.
Step-by-step explanation:
We have two squares provided
Let the area of the larger square be denoted as x
The area of the smaller square is given, and we need to determine the domain for the larger square's area.
The domain refers to the possible values that x can assume in a function
In this context, x represents the area of the larger square
Because the area of the smaller square is 
The area of the larger square must exceed
The domain will consist of all real numbers greater than 10
Mathematically, indicates the required domain.
Answer:
Using integer tiles, you would either add five sets of negative two tiles or take away two sets of five positive tiles. On the number line, you would jump 5 spaces to the left
Step-by-step explanation:
I hope this is helpful :)
Given parameters:
Equation:
(x-4)²=9
Problem: Solve the equation by both factoring and extracting the square root.
Solution:
Starting equation:
(x-4)²=9
Subtracting 9 from both sides brings us to zero;
(x-4)² - 9 = 0
(x -4)² - 3² = 0
This fits the concept of the difference of squares;
x² - y² = (x + y)(x-y)
Let x = x-4 and y = -3
Then input and solve;
(x - 4 -3)(x - 4 -(-3)) = 0
(x - 7)(x - 1) = 0
S thus,
x - 7 = 0 or x-1 = 0
x = 7 or 1
<pBy extracting the square roots;
(x-4)² = 9
√(x-4)² = √9
x - 4 = 3
x = 4 + 3 = 7; however, this is not the sole solution
Thus, direct extraction of the square root is not the method for complete solutions.
Answer: The guitar's value over time is described by the 0.95 metric, indicating a 5% annual depreciation.
Step-by-step explanation:
To address this inquiry, we use an exponential decay formula:
A = P (1 - r) t
Where:
P = initial price
r = the reduction rate (expressed as a decimal)
t = time in years
A = price after t years
Substituting the known values:
A(t)=145(0.95)t.
Where
0.95 = 1-r
0.95-1 = r
-0.05 = -r
0.05 = r
Converted to percentage:
0.05 x 100 = 5%
Please reach out if further clarification is needed or if something was unclear.
Answer:
The charge for the first three hours is $4 per hour.
Subsequently, the rate decreases to $2 per hour until the sixth hour.
Between the sixth and tenth hours, the cost is reduced further to $1 per hour.
The maximum charge for renting the bike is $30.
Step-by-step explanation:
The incline on the graph indicates the hourly rate for the bike rental.
During the initial three hours, the rental fee rises by $4 for each hour.
From the third to the sixth hour, the graph’s slope indicates a rate of $2 per hour for the rental.
The charge drops to $1 per hour from the sixth to the tenth hour.
After the tenth hour, the price, P, remains constant. The highest fee for the bike rental is $30.
