Answer:
(f + g)(x) = – 3x^2 + 5x - 8
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)
= 5x^2 + 9x – 4 – 8x^2 – 3x – 4
Combine
= – 3x^2 + 5x - 8
Answer:
Choice B is correct; (10, 60)
Step-by-step explanation:
For Lisa to make a profit, the function R should assume a value greater than 0;
R > 0
We are to determine the interval of x values for which the above expression will be true.
From the graph, R(x) = 0 when x = 10. As x increases from 10 to 60, the value of R(x) remains positive, that is;
R(x) ≥ 0 for values of x in the interval (10, 60)
The domain that she should use in order to only model selling prices for which she will make a profit is thus;
(10, 60)
Answer:
4
Step-by-step explanation:
g(n) varies inversely with n.
This can be expressed alternatively as \[g(n) = \frac{k}{n}\] where k is a constant value.
Given that when n = 3, g(n) = 8.
This implies, \[8 = \frac{k}{3}\]
Simplifying the equation to solve for k, k = 8 * 3 = 24
Now when g(n) = 6, \[g(n) = \frac{k}{n}\]
\[6 = \frac{24}{n}\]
Calculating the value of n, \[n = \frac{24}{6}\] = 4
So the required value of n is 4.
<h3><u>Answer:- </u></h3>


<h3><u>Solution</u> :-</h3>

The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³
<u>Some basic </u><u>derived </u><u>Units :- </u>
- area => m²
- volume cubic meter => m3
- speed meter per second => m/s
- acceleration => m/s²
- mass density meter => kg/m3
- specific volume cubic meter per kilogram m³/kg
The rock looks so much like Dwayne Johnson are they like related