Answer:
11) 662
12) 24
Step-by-step explanation:
2 (11x11x11 - 1000) = 2(1331-1000)
= 2(331) = 662
1/8 (256 - 64)
= 1/8 (192)
= 198/8 = 24
Answer:
In general gf(x) is not equal to fg(x)
Some pairs of functions cannot be composed. Some pairs of functions can be composed only for certain values of x.
Only with they can be composed some values of x are the ranges of g(x) and f(x) are the same, and their domains are also the same. Or else lies inside it.
Step-by-step explanation:
g(x) = 3x + 6 - 8, f(x) = √x.
The domain of a composed function is either the same as the domain of the first function, or else lies inside it
The range of a composed function is either the same as the range of the second function, or else lies inside it.
Or vice versa
Now only positive numbers, or zero, have real square roots. So g is defined only for numbers
greater than or equal to zero. Therefore g(f(x)) can have a value only if f(x) is greater than or
equal to zero. You can work out that
f(x) ≥ 0 only when x ≥3/2
.
Answer:
3) 11x+3
4) 8x³+2x²+2x+8
Step-by-step explanation:
The equation would be written like this 2x-10=48. First add 10 to both sides so 2x-10+10=48+10 so simplified that is 2x=58. Now, divide both sides by 2 to get x by itself so it will look like this 2x/2=58/2 simplified that is x=29. I hope this helped you.
Answer:
a) 24 [cm]; b) 30°.
Step-by-step explanation:
a) the length of full the circle is: min_arc(AB)+maj_arc(AB)=π(22+2)=24π [cm]. Then the radius is: r=L/π; ⇒ r=24π/π=24 [cm];
b) if the full circle is 360° (L=24π), then m(∠AOB):2=360°:24 and the required measure of the acute angle AOB is:
m(∠AOB)=360*(1/12)=30°.