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son4ous [18]
3 years ago
14

What is a real world example of rate of change

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0

Answer:

Step-by-step explanation:

A population of rats increasing by 40 rats per week. A car traveling 68 miles per hour  

distance traveled changes by 68 miles each hour as time passes)

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Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±
chubhunter [2.5K]

Answer:

±2

Step-by-step explanation:

For simplicity let's take a look at a general third order polynomial:

ax^3 + bx^2 + cx + d.  In this particular case,

rational roots have the form ±d/±a.  Note that these are fractions/ratios.  Beyond that, we factor d and choose numerators ±(all possible whole number factors of d, dividing these results by all possible factors of a.

Looking at 4x^3 + 9x^2 - x + 10 = 0, we see that d = 10 and that factors of d include ±1, ±2, ±5 and ±10.  a = 4 and factors of a include ±1, ±2, ±4.

So, any rational roots of the given polynomial will stem from the possible rational roots

±1    ±2    ±5    ±10    ±1    ±2    ±5    ±10

--- , ----- , -----, ------- , ---- , ----- , --- , ------ , and so on,

±1    ±1     ±1      ±1      ±2    ±2   ±2     ±2

until you have used up all of the possible factors of 10 and all of the possible factors of 4.  

Of the four possible rational roots you have shared, only ±2 (which would actually be ±2 / ±1) is acceptable.

4 0
3 years ago
Read 2 more answers
A triangle has the side lengths 5,7 and 11
Assoli18 [71]

To solve this problem you use the "Triangle Inequality Theorem" it states that: any side of a triangle is always shorter than the sum of the other two sides. 

Using this theorem we check each side 

5+7=12: this is greater than the other side which is 11, so this works 

11+7= 18: this is greater than the other side which is 5, so this works 

5 + 11= 16: this is greater that the other side which is 7, so this works 

4 0
3 years ago
Help pls .. write an equation to show the function in the table .
Arisa [49]

Answer:

y = 2x - 2

Step-by-step explanation:

hope this helps

5 0
2 years ago
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What does x represent
Over [174]
The answer is c, hope this helps. Have an amazing day
8 0
3 years ago
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Which expression is equal to
melamori03 [73]

Answer:

D is the most acurate answer.

Step-by-step explanation:

8 0
3 years ago
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