Answer:
8 cm
Step-by-step explanation:
The maximum potential length of the string corresponds to the greatest common divisor of 32, 16, and 8.
32 = 2 * 2 * 2 * 2 * 2
16 = 2 * 2 * 2 * 2
8 = 2 * 2 * 2
The GCD = 2 * 2 * 2 = 8
The greatest length of the string = 8 cm
<span>The volume of a rectangular prism is
V = l · w · h
V = 252 cm3
h = 3 cm
l = 5 + W
Let W = x, therefore l = 5 + x
V = (5 + x) * x * 3 = 252
3x</span><span>^2 + 15x = 252 cm3
</span><span>
This equation models the volume of the tray based on its width, x, in centimeters.</span>
3x^2 + 15x = 252 cm3<span>
</span>
for a width of 7.5 cm
3x^2
+ 15x = 3*(7.5)^2 + 15*7.5 = 281.25 cm3
<span>281.25 > 252 </span><span> </span>
<span>Thus, a width of 7.5 cm is not possible.</span>
Answer:
Conclusion from the given data:
a(x) = 2x - 4b(x) = x + 2
Next, we will review each option
First option
Second option
Third option
= x - 6
Fourth option 
= 3x - 2
From the above evaluations, only option A results in a quadratic function
Response: the equations are
0.02x + 0.07y = 156
y = 300 + x
Step-by-step explanation:
Let x denote the dollar amount from phone sales made by Josiah.
Let y indicate the dollar amount from his computer sales.
Josiah receives a 2% commission on his phone sales total and 7% on his computer sales. He accumulated a total of $156 in commission, leading to the equation
0.02x + 0.07y = 156 - - - - - - - - - - -1
Furthermore, it’s given that Josiah had $300 more in computer sales than in phone sales, expressed as
y = 300 + x
