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Luda [366]
2 years ago
14

Consider functions h and k

Mathematics
1 answer:
elixir [45]2 years ago
3 0
D. -3 because you first find k(2) which is -2 and plug it back into the h(x) formula to get 3/-1 which is -3
You might be interested in
Which polynomial function has a leading coefficient of3 and roots -4, i, and 2, all with multiplicity 1?
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

7 0
3 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.
Yanka [14]

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].

The probability density function :-

f(x)=\dfrac{1}{58-48}=\dfrac{1}{10}

Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025

Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025

Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025

5 0
3 years ago
You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
Korolek [52]
33 dollars. The tip is 3 dollars, and that to 30 dollar dinner bill and the whole bill will be $33.
4 0
3 years ago
Read 2 more answers
A cube-shaped gift box has a volume of 5.12 cubic inches. What is the side length of the box?
kati45 [8]

recall that a cube has all equal sides, check the picture below.


\bf \textit{volume of a cube}\\\\
V=x^3~~
\begin{cases}
x=side's~length\\[-0.5em]
\hrulefill\\
V=5.12
\end{cases}\implies 5.12=x^3
\\\\\\
\sqrt[3]{5.12}=x\implies 1.72354775\approx x

6 0
3 years ago
You are painting a rectangular tabletop. The length of the table top is 6 inches less than 3 times the
dedylja [7]

Answer:

A

Step-by-step explanation:

Let l represent length and w represent width

We know that l = 3w-6

(3w-6)(w) = the area

Use distributive property

Area = 3w^2-6w

A is the correct answer

Hope this helps :)

3 0
2 years ago
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