You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
Answer: 40
Step-by-step explanation:
The angles form a straight angle, so y = 180 - 80 - 60 = 40.
Answer:
domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4
Step-by-step explanation:
The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...
- the domain of f(x) is restricted to non-positive values
- the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4
The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.
Answer:
Actual volume=3,773,000 in³
Step-by-step explanation:
Scale 1:35
Actual Width=Model Width×Scale factor=(2×35)=70 inches
Actual Length=Model Length×Scale factor=(11×35)=385 inches
Actual Height=Model Height×Scale factor=(4×35)=140 inches
Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³
Actual volume=3,773,000 in³