Answer:
When f(n) = 4n and g(n) = n² + 2n, f(g(-6)) = 96.
Step-by-step explanation:
To evaluate f(g(-6)), first find g(-6).
g(n) = n² + 2n
Substitute value.
g(-6) = (-6)² + 2(-6)
Square -6. Remember that (-x)² = x²
g(-6) = 36 + 2(-6)
Multiply 2 and -6.
g(-6) = 36 - 12
Subtract 12 from 36.
g(-6) = 24.
Now knowing this, substitute that value into f(n).
f(g(-6)) = f(24)
f(n) = 4n
Substitute value.
f(24) = 4(24)
Multiply 4 and 24.
f(24) = 96.
Answer:
Step-by-step explanation:
Note how this drawing is symmetrical about a horizontal line drawn halfway between AB and CD and passing through the origin.
Line AB has been subdivided into two equal pieces of length 15, so the length of AB is twice 15, or 30. Due to the symmetry shown, line CD has the same length: 30.
Answer:
15
Step-by-step explanation:
because you have to add -12 with 27 and you get 15
The ratio cans to price are 12/15.
Cross multiply: 12/15 * 7/x = 84/15x = x = 5.6
Area for circle is πr² so πr² =28.26 and we can sub 3.14 as pi
3.14*r²=28.26 we can divide by 3.14 to get r² on it's own
r²=28.26/3.14
then we root both sides to get r on it's own
28.26/3.14=9 √9=3
and the diameter is double the radius 3*2=6 so the diameter is 6
