Answer:
The composite function;
f(g(x) = 2x^2 + 15
Step-by-step explanation:
Given f(x) = 2x + 1 and g(x) = x^2 + 7;
we are tasked with calculating f(g(x))
This represents a composite function where we substitute g(x) into f(x)
Consequently, we find
f(g(x)) = 2(x^2 + 7) + 1
f(g(x)) = 2x^2 + 14 + 1
f(g(x)) = 2x^2 + 15
Begin by determining the increase in price for the iPads: $50 multiplied by 10 equals $500. Thus, the iPad's price was raised by $500. Next, subtract this total from the original iPad price: $5,000 minus $500 results in $4,500. This indicates that the actual cost for 10 iPads, unadjusted by the increase, stands at $4,500. To find the individual iPad cost, divide that total by 10, leading to $4,500 divided by 10, which gives $450. Therefore, the manufacturing cost of each iPad is $450.
To calculate the area, simply multiply 5 by 4, resulting in 20.
Answer:
Step-by-step explanation:
Let the number of cans collected by Shane be x.
Thus, the number of cans collected by Abha is x + 178.
Given that a minimum of 2000 cans is required to be collected.
Therefore, we have the inequality,[ [TAG_19]]
Total cans by Shane + Total cans by Abha ≥ 2000.
That is, 
Thus, the necessary inequality is .
