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4 years ago

14

Geroge bought 4 submarine sandwiches for a birthday party. if each person eats 2/3 of a sandwich, how many people can Geroge fee

d?

1 answer:

Vlada [557]4 years ago

7 0

George can feed up to 6 people because there are 12 pieces of sandwich and each person eats 2

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If g is a differentiable function such that g(x)<0 for all real numbers x and if f'(x) = (x2 - 4)g(x), which of the following

galina1969 [7]

We want to see what can we say about f(x) extremes for the given information. We will see that the correct option is:

V: f has a relative minimum at x=-2 and a relative maximum at x=2.

<h3>Maximums and minimums.</h3>

A given function f(x) will have a maximum/minimum at x₀ if:

f'(x₀) = 0

It will be a maximum if f''(x₀) < 0
It will be a minimum if f''(x₀) > 0.

Here we do know that:

f'(x) = (x^2 - 4)*g(x)
g(x) < 0 for all numbers x.

Then the only zeros of f'(x) are when (x^2 - 4) = 0.

And this happens for x = 2 and x = -2

Now let's see if these are minimums or maximums, we have:

f''(x) = 2*x*g(x) + (x^2 - 4)*g'(x)

If we evaluate this in x = 2, we get:

f''(2) = 2*2*g(2) + (2^2 - 4)*g'(2)

= 4*g(2) + 0*g'(2) = 4*g(2)

And g(x) is always negative, then 4*g(2) < 0, then:

f''(2) < 0

Meaning that in x = 2 we have a relative maximum.

For x = -2 we have:

f''(-2) = 2*-2*g(-2) + ((-2)^2 - 4)*g'(-2)

= -4*g(2) > 0

Then f''(-2) > 0, meaning that in x = -2 we have a relative minimum.

Then the correct option is:

V: f has a relative minimum at x=-2 and a relative maximum at x=2.

If you want to learn more about maximums and minimums, you can read:

brainly.com/question/1938915

6 0

3 years ago

Help asap i will give brainliest

Gemiola [76]

Answer:

middle one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

TV−→− bisects ∠RTS. What is the relationship between ∠RTV and ∠STV?

kenny6666 [7]

Answer:

$RTV = STV$

Step-by-step explanation:

Required

Determine the relationship between RTV and STV

From the question, we understand that TV is a bisector of RTS at T;

This implies that, T divides RTS into two equal parts which are;

RTV and STV

Hence;

The relationship between RTV and STV is that, the are equal.

Mathematically;

$RTV = STV$

8 0

3 years ago

a library has an average of 510 visitors on Sundays and 240 visitors on other days. The average number of visitors per day in a

serious [3.7K]

Answer:

285

Step-by-step explanation:

hi

personally this is how i would do this question but there are other ways.

i would start off by seeing how many sundays there are in the month (which is 5) then the number of other days which is 25. i'd then multiply 5 by 510 which is 2550. add that to 240 times 25 (which is 6000) and all of that together is 8550. divide that by the number of the days in the month (30) and then you'll get the daily avergae for the month

hope this helped:)

6 0

3 years ago

I cut a long piece of wood into 50cm pieces. I manage to cut

ehidna [41]

Answer:

$WoodLength = 50w + 20$

Step-by-step explanation:

Given

Length of Pieces = 50cm

Number of Pieces = w

Left over = 20cm

Required

Determine the length of the wood

Start by multiplying the number of pieces by the length of each pieces

$Result = Length * Number$

$Result = 50 * w$

$Result = 50 w$

Lastly, add the leftover to get the actual length of the wood

$Wood Length = Result + Leftover$

Substitute 50w for Result and 20 for Leftover

$WoodLength = 50w + 20$

<em>Hence, the length of the wood is 50w + 20</em>

5 0

3 years ago