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Gennadij [26K]
3 years ago
5

Prime numbers have

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
The answer is c. Prime number is a number that is only divisible by 1 and it self.
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How would you do a,b,c,and d
I am Lyosha [343]

a) You are told the function is quadratic, so you can write cost (c) in terms of speed (s) as

... c = k·s² + m·s + n

Filling in the given values gives three equations in k, m, and n.

28 = k\cdot 10^2+m\cdot 10+n\\21=k\cdot 20^2+m\cdot 20+n\\16=k\cdot 30^2+m\cdot 30+n

Subtracting each equation from the one after gives

-7=300k+10m\\-5=500k+10m

Subtracting the first of these equations from the second gives

2=200k\\\\k=\dfrac{2}{200}=0.01

Using the next previous equation, we can find m.

-5=500\cdot 0.01+10m\\\\m=\dfrac{-10}{10}=-1

Then from the first equation

[tex]28=100\cdot 0.01+10\cdot (-1)+n\\\\n=37[tex]

There are a variety of other ways the equation can be found or the system of equations solved. Any way you do it, you should end with

... c = 0.01s² - s + 37

b) At 150 kph, the cost is predicted to be

... c = 0.01·150² -150 +37 = 112 . . . cents/km

c) The graph shows you need to maintain speed between 40 and 60 kph to keep cost at or below 13 cents/km.

d) The graph has a minimum at 12 cents per km. This model predicts it is not possible to spend only 10 cents per km.

4 0
3 years ago
20 points!! Need help with 8
hjlf

the answer is D x= x 5 because it make sense

4 0
3 years ago
Simplify. 8c³d²/4cd²
loris [4]

Answer:

2c exponent 4 d exponent 4

6 0
2 years ago
A list of prime numbers between 80 and 90
KengaRu [80]
For 80,
10,8,2,4

For 90
10,9
6 0
3 years ago
Expand and Combine like terms: <br> (4t^3-5)^2
arsen [322]

Answer: 16t^6−40t^3+25 is the answer

first lets set the equation as a binomial *remember 2 binomial= trinomial*

so its going to look something like..........

(4t^3-5) (4t^3-5)

now we do the foil method so 4t^3* 4t^3= 16t^6 (add exponents)

do the same for the other terms:

4t^3*-5= -20t^3

-5*4t^3= -20t^3

-5*-5= 25

now the whole equation is...

16t^6-20t^3-20t^3+25 (combine like terms like -20t^3 and -20t^3)

therefor the answer is... 16t^6-40t^3+25

4 0
3 years ago
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