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4 years ago

What is the approximate value of the function at x = -8 A) 2 B) 1 C) 1.8 D) 1.5

Mathematics

1 answer:

SVETLANKA909090 [29]4 years ago

4 0

Answer:

f(-8) = 1.8

Step-by-step explanation:

See the graph of a given function which is attached to the question given.

The graph of y = f(x) is plotted in the graph and we have to find the value of y at x = - 8 i.e. f(-8).

It is clear from the graph that the value of y corresponding to the value of x = -8 is slightly lower than 2.

Therefore, we can approximate the value of f(-8) as 1.8. (Answer)

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a city council has 12 members. Five are democratss and seven are republicans. How many ways can a four member comitte be selecte

Nostrana [21]

Answer: 495ways

Step-by-step explanation:

Selecting some b people from a group of people are based on combination principle.

If we are selecting "r'' people from a total number of 'n' people, we will have;

nCr = n!/(n-r)!r!

Since 4 people are to be selected from a committee of 5democrats and 6republicans,

Note that the question is not specific as to how many from Republicans and Democrats to select that will make the 4people,

Therefore, the selection can be done in this manner

- 0people from democrats and 4peoples from Republicans

5C0 × 7C4 = 5!/5!0! × 7!/3!4!

= 1×35= 35ways

- 1people from democrats and 3peoples from Republicans

5C1 × 7C3 = 5×35 = 175ways

- 2peoples from democrats and 2peoples from Republicans

5C2 × 7C2 = 10 × 21 = 210ways

- 3peoples from democrats and 1people from Republicans

5C3 × 7C1 = 10 × 7 = 70ways

- 4peoples from democrats and 0people from Republicans

5C4 × 7C0 = 5 × 1 = 5ways

Adding all possible combinations

35+175+210+70+5

= 495ways

3 0

3 years ago

Two persons work together at the local aquarium. It takes the first person 120 minutes to clean the jellyfish tanks. Since the s

matrenka [14]

Answer:

168 minutes

Step-by-step explanation:

It takes 120 minutes for the first person to clean the jellyfish tank.

This means that in 1 minute the first person cleans $\frac{1}{120}$ of the tank.

Let the time taken by the second person working alone to clean the tank be x minutes.

Then in 1 minute the second person cleans $\frac{1}{x}$ of the tank.

Working together, the two persons clean,

$\frac{1}{120} + \frac{1}{x}$ of the tank

But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean $\frac{1}{70}$ of the tank.

Expressing in equation form:

$\frac{1}{120} + \frac{1}{x} = \frac{1}{70}$

$=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120}$

$=> \frac{1}{x} = \frac{12-7}{840}$

$=> \frac{1}{x} = \frac{5}{840}$

$=> \frac{1}{x} = \frac{1}{168}$

$=> x = 168$

This means that the second person can clean the tank in 168 minutes.

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3 years ago

The answer to this question

Tanzania [10]

Answer

what is the question to this expression?

Step-by-step explanation:

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3 years ago

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Total Area = 2( 32 x 79) + (26 x 42) = 6148 m²

Number of 4 m² = 6148 ÷ 4 = 1537

Answer: The zoo can have 1537 plants.

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4 years ago

Read 2 more answers

What is the decimal multiplier to decrease by 2.7%?

ad-work [718]

Answer:

0.027

Step-by-step explanation:

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

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4 years ago