Step-by-step explanation:
![f(x)=x^2,\ g(x)=x+6,\ h(x)=7\\\\h(x)=7\ \text{It's the constant function. Therefore}\ h\{g[f(x)]\}=7](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2C%5C%20g%28x%29%3Dx%2B6%2C%5C%20h%28x%29%3D7%5C%5C%5C%5Ch%28x%29%3D7%5C%20%5Ctext%7BIt%27s%20the%20constant%20function.%20Therefore%7D%5C%20h%5C%7Bg%5Bf%28x%29%5D%5C%7D%3D7)
Yes
For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one
This is the case here as each value of x maps to one unique value in the range
domain x ∈ {- 5, - 4, 0, 3 }
range y ∈ {0, 2, 10, 16 }
Answer:
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
Dual polygon: Self-dual
Step-by-step explanation:
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:
Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation
at T = 90°C and t = 3 minutes
or
taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C
or
or
or
taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
Answer:
Plan C
Step-by-step explanation:
Complete the table first:
To find the number of weeks for each amount of $ to save, divide $500 by the amount.
Plan B: $500/$30 = 16.7 weeks, rounded to 17 weeks
Plan C: $500/$40 = 12.5 weeks, rounded to 13 weeks
Plan D: $500/$50 = 10 weeks
Save $500 in less than 16 weeks with $20 extra:
Which plans need less than 16 weeks?
Plans C and D.
Check the amount of money Plan C gives:
In 13 weeks, how much extra money does this plan give?
Extra money = Total - $500
The total money is 13 weeks * $40 = $520
$520 - $500 = $20 in extra money
Therefore Plan C gives Todd $500 in less than 16 weeks, with $20 extra.
