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kirza4 [7]
3 years ago
11

Use the four functions shown.

Mathematics
1 answer:
siniylev [52]3 years ago
6 0

Only (I) is differentiable over (-5, 5) (and its entire domain, for that matter). This is because the exponential function is continuous and infinitely differentiable.

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Find the number of possible choices for a 3-digit PIN (personal identification number) if the digits CAN be repeated.
Lelechka [254]
10*10*10 = 1000 possible choices
5 0
3 years ago
If f(x)=x^4+6, g(x)=x-2 and h(x)= sqrt (x), then f(g(h(x)))=
patriot [66]

Answer:

x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

Step-by-step explanation:

Firstly let us split this up, we need to first work out what g(h(x)) is:

h(x) = Sqrt(x) so g(h(x)) = g(sqrt(x)) = sqrt(x) - 2

Now to work out f(g(h(x))) = f(sqrt(x) - 2) = (sqrt(x) - 2)^4 + 6

= (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) - 6

= (x - 2 * sqrt(x) + 4) * (x - 2 * sqrt(x) + 4) - 6

= x^2 - 2x * sqrt(x) + 4x - 2x * sqrt(x) + 4x - 8 * sqrt(x) + 4x - 8 * sqrt(x) + 16 - 6

= x^2 - 4x * sqrt(x)  + 12x - 16 * sqrt(x) + 10

= x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

3 0
3 years ago
What are the coordinates of the vertices of the triangle under the translation (x, y) --> (x + 3, y + 2)?
Afina-wow [57]
<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)

</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)  

Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
7 0
3 years ago
Read 2 more answers
What are a) the ratio of the perimeters and b) the ratio of the areas of the larger figure to the smaller figure? The figures ar
Sergeeva-Olga [200]

Answer: 5/2 and 25/4

Step-by-step explanation:

6x5=30

6x2=12

...

say these were perfect squares,

12x12= 144

30x30= 900

900/144 = 25/5

8 0
3 years ago
What is the value of x​
aleksley [76]

Answer:

70°

Step-by-step explanation:

All triangles' angles are added up to 180°

30 + 80 + x = 180

110 + x = 180

x = 180 - 110

x = 70

7 0
3 years ago
Read 2 more answers
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