Answer:
B. f(g(x)) = -10x + 8
Step-by-step explanation:
When evaluating f(g(x)), substitute what g(x) is in place of g(x).
So instead of
f(g(x))
the function would be:
f(-5x + 6).
Now all you have to do is evaluate this.
To evaluate this function, substitute the value inside the f(x) for all instances of x in the equation.
f(x) = 2x - 4
f(-5x + 6) = 2(-5x + 6) - 4
f(-5x + 6) = -10x + 12 - 4
f(-5x + 6) = -10x + 8
Therefore, f(g(x)) = -10x + 8.
Answer:
8
Step-by-step explanation:
Volume of a cone formula: V = 
where,
h is the height <u>9 in (assuming)</u>
r is the radius <u>want</u>
v is the volume <u> 602.88 cubic inches</u>
is <u>a = 3.14 </u>
Plug in everything:
Answer:
- 33 1/3 liters of 30%
- 16 2/3 liters of 45%
Step-by-step explanation:
Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...
0.45x +0.30(50 -x) = 0.35(50)
0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)
x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl
33 1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.
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<em>Comment on the solution</em>
You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...
(mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3
Answer:
it's a philosophy
Step-by-step explanation:
Mathematics can't make you become great in life
it's just a philosophy for you to understand
