Answer:
Choice 4.
Step-by-step explanation:
f(g(x))
Replace g(x) with x^2+8 since g(x)=x^2+8.
f(g(x))
f(x^2+8)
Replace old input,x, in f with new input, (x^2+8).
f(g(x))
f(x^2+8)
2(x^2+8)+5
Distribute:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
Combine like terms:
f(g(x))
f(x^2+8)
2(x^2+8)+5
2x^2+16+5
2x^2+21
Answer: 7.07 miles
Step-by-step explanation:
Hi, to answer this, first, we have to find the length of the square dog pen.
Perimeter of a square = 4 x sides
Replacing with the value given:
20 = 4 s
Solving for s:
20/4=s
Side = 5 meters
Since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case length of the diagonal) and a and b are the other sides.
Replacing with the values given:
c^2 = 5^2 + 5^2
c^2 = 25+25
c^2 = 50
c = √50
c = 7.07 miles
Feel free to ask for more if needed or if you did not understand something.
Answer:
Option (3)
Step-by-step explanation:
Since, every student is responsible for the caring of 4 animals during every hour,
Number of animals cared for ∝ Number of hours spent at shelter
a ∝ h
a = kh
Here 'k' = proportionality constant
For h = 1 and a = 4,
k = 
k = 4
a = 4h
By this equation,
For h = 2,
a = 8
For h = 3,
a = 12
For h = 4,
a = 16,
For h = 5,
a = 20
Since, for every input value there is a different output value,
Diagram shows a function.
Therefore, Option (3) will be the correct option.
150/3 = 50
1 rocket takes 50 gallons of fuel.
152 * 50 = 7,600
To fuel 152 mini rockets it would take 7,600 gallons of fuel.