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photoshop1234 [79]
3 years ago
5

70 PTS HELP PLS!!!!!

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

28*4/7

Step-by-step explanation:

4/7

   the 7 represents the 28.  28 is a multiple of 7.

<u>28</u>  *   <u>4</u>   =     <u>112</u>   =   16

 1        7           7

<u><em>there are 16 girls</em></u>

also we know 4*7=28 so if we count the multiples of 4, there is 4 8 12 and the 4th multiple is 16.

<u><em /></u>

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If g is a differentiable function such that g(x)&lt;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
2 years ago
Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each t
Doss [256]
Let
X-----------------> number of pansies
y-----------------> number of trees

we know that
x=15*8----------> x=120 pansies
y=8 trees

cost of each trees is----------> $<span>20.75
</span>cost of each pansies is------> $2.50/6------> $5/12

[<span>expression to find Katherine’s final cost]=[cost trees]+[cost pansies]
</span>[cost trees]=y*$20.75
[cost pansies]=x*($5/12)   

[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

[expression to find Katherine’s final cost]=$166+$50
[expression to find Katherine’s final cost]=$216

the answer is 
[expression to find Katherine’s final cost]=y*($20.75)+x*($5/12)
[expression to find Katherine’s final cost]=8*($20.75)+120*($5/12)

Katherine’s final cost is $216
5 0
3 years ago
Read 2 more answers
Five more than the quotient of a number and 3 equals 2.
MakcuM [25]

Answer:

\large\boxed{\dfrac{n}{3}+5=2\ or\ n:3+5=2}

Step-by-step explanation:

\dfrac{n}{3}+5=2\\\\\dfrac{n}{3}-\text{the quotient of a number}\ n\ \text{ and 3}\\\\...+5-\text{five more than}

If you want a solution:

\dfrac{n}{3}+5=2          <em>subtract 5 from both sides</em>

\dfrac{n}{3}+5-5=2-5

\dfrac{n}{3}=-3            <em>multiply both sides by 3</em>

3\!\!\!\!\diagup\cdot\dfrac{n}{3\!\!\!\!\diagup}=(3)(-3)\\\\n=-9

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sdas [7]
Yuhh the answer is triangular prism
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jasenka [17]
A.) 1
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