First simplify <span>t^2-t-12, which becomes (t-4)(t+3)
now you can rewrite the expression as one term; (t-4)(t+3)(t+1)/(t+1)(t+3)
cancel out (t+3) and (t+1) which leaves the answer as (t-4)</span>
Answer:________________________________________
Step-by-step explanation:
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3
<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>14 cups = 14.4375 in^3 * 7 = 202.125 in^3 </span>
<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.
(i HAD THE SAME QUESTION)</span>
