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KengaRu [80]
4 years ago
8

Which numbers are necessary to solve this problem? Franklin brought 4 jump ropes to the park. Each jump rope can be used by 3 pe

ople at a time. Fifteen friends came to the park to jump rope. How many friends could play jump rope if all of Franklin's ropes were being used? A. 4 jump ropes, 3 people B. 3 people, 15 friends C. 4 jump ropes, 15 friends D. 4 jump ropes, 3 people, 15 friends
Mathematics
1 answer:
Luda [366]4 years ago
4 0

Answer:

  D. 4 jump ropes, 3 people, 15 friends

Step-by-step explanation:

In order to answer the question how many friends could play, you need to be able to determine the smaller of ...

  • (number of ropes) × (friends per rope)
  • number of friends

You can find the first of these numbers using the values of answer A, but if the number of Franklin's friends is smaller than 12, then you need to know that in order to properly answer the question. Hence, we believe you need to know ...

  • the number of jump ropes
  • the number of friends per rope
  • the number of friends
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grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

 f'(x)=0\: at \:x=2, and\: x=-2

2. For which values of x is f '(x) positive?

Whenever we have  

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then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

 f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)

3. For which values of x is f '(x) negative?  

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

 f'(x)

4.What do these values mean?

 f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0
3 years ago
Find the equation in standard form of the line passing through the points 3,-4 and 5,1
aliina [53]

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2)

Equation of line in two point form is given as:

\frac{y -y_1 }{y_1 -y_2 }  =  \frac{x -x_1 }{x_1 -x_2 } \\  \\  \therefore \:  \frac{y -( - 4) }{ - 4 -1}  =  \frac{x -3 }{3 -5 } \\  \\  \therefore \:\frac{y  +  4 }{ - 5}  =  \frac{x -3 }{ - 2 } \\  \\  \therefore \: \frac{y  +  4 }{  5}  =  \frac{x -3 }{  2 } \\  \\  \therefore \:  2(y + 4) = 5(x - 3) \\ \therefore \:  2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\  \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \:  \\ standard \: form.

7 0
3 years ago
What is the slope of the line passed through the points ( 1, -5) and 4,1?
Allisa [31]
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3 years ago
7.98 is 1/10 of what number?
Lyrx [107]

Answer:

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Step-by-step explanation:

7.98*10=

79.8

to check

(1/10)*79.8=

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7 0
3 years ago
I'm thinking of a number. This number is 12 less than its square. What could my number be?
omeli [17]

let nwmber to be X

the number is 12 less than it's square,

so X=12-X^2

=> X^2+X-12=0

=> (X+4)(X-3)=0

=>X= 3, or X=-4

in math we don't usually take negative numbers into account so your number would be 3

5 0
3 years ago
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