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Kerry got the correct answer (13). Katie forgot to use PEMDAS.
Answer:$8.60
I put the work into the picture. Hope this helps!
Answer:
The option A) is correct
"The lines have proportional slopes" is correct
Therefore the given slopes are proportional to each other
Step-by-step explanation:
Given that Line f has a slope of
, and line g has a slope of 
Also given that f and g are distinct lines
To check the proportionality of two slopes :



Therefore the given slopes are proportional to each other
Therefore option A) is correct
"The lines have proportional slopes" is correct
Answer:
Demand quantity: 6.3246
Supply quantity: 4.4721
Step-by-step explanation:
Supply equation:
p = (1/2) * q^2
Demand equation:
p = -(1/2) * q^2 + 30
(p is the price, q is the quantity)
If the price p is equal to 10, then we can calculate:
Supply quantity:
10 = 0.5 * q^2
q^2 = 20
q = 4.4721
Demand quantity:
10 = -0.5 * q^2 + 30
0.5 * q^2 = 20
q^2 = 40
q = 6.3246