Answer:
Option A
Step-by-step explanation:
2x^2+10x+12
Divide through by 2
x^2 +5x+6=0
x^2 +3x+2x+6
x(x+3)+2(x+3)=0
(x+2)(x+3)=o
x=-2 or x=-3
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is

- The value of c(n(100)) is

- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:

This gives


The function for number of systems is:


<u>(b) Function c(n(h))</u>
In (a), we have:


Substitute n(h) for n in 

Substitute 


<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:



<u>(d) Interpret (c)</u>
In (c), we have: 
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
Answer:
option B
option C
4:40pm
2:45pm
option d
3:30
Step-by-step explanation:
please consider as brainlest que.
Examples of abiotic factors are water, air, soil, sunlight, and minerals. Biotic factors are living or once-living organisms in the ecosystem. These are obtained from the biosphere and are capable of reproduction. Examples of biotic factors are animals, birds, plants, fungi, and other similar organisms.
<h3>
Answer: x = 19.7 (choice C)</h3>
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Explanation:
The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.
Also unknown is the value of x which is the hypotenuse.
To summarize:
- opposite = vertical leg = 8
- adjacent = horizontal leg = unknown
- hypotenuse = x
The hypotenuse is always opposite the 90 degree angle.
To tie together the opposite and hypotenuse, we'll use the sine ratio
sin(angle) = opposite/hypotenuse
sin(24) = 8/x
x*sin(24) = 8
x = 8/sin(24)
x = 19.6687 approximately
x = 19.7 after rounding to the nearest tenth.
Side note: your calculator needs to be in degree mode