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viva [34]
3 years ago
6

Give the domain of each of the following functions in interval notation.

Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

the domain of f(x) is R  ⇒ ] -∞ , ∞[

the domain of h(x) is x ≤ -5 ⇒ ] -∞ , -5]

Step-by-step explanation:

h(x) = \sqrt[8]{-2x-10}

-2x - 10 ≥ 0

-2x ≥ 10

x ≤ -5

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Questions and answers attached
Black_prince [1.1K]

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100

3 0
3 years ago
A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?
tekilochka [14]

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

4 0
3 years ago
n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,
Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

A = Pe^{rt}

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

A=2400 e^{0.0168\times 20}

=2400 e^{0.336}

= 3358.4136

\approx 3358

6 0
3 years ago
After hip surgery, your doctor tells you to walk 5 minutes a day. Each day thereafter, you should increase your walk time by 2 m
tatuchka [14]
7 mins a day hope this helps 
4 0
3 years ago
A circle has a diameter of 20 ft. What is the diameter? *
fenix001 [56]

Answer:

20ft

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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