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Aneli [31]
3 years ago
13

The population of a city, P, in millions, is a function of t, the number of years since 2010, so P=f(t). What does the statement

f(5)=10 mean in terms of the population of this city?
Mathematics
1 answer:
Crazy boy [7]3 years ago
4 0

Answer:

f(5) = 10

The population of city is 10 millions in year 2015 that is 5 years after 2010.

Step-by-step explanation:

We are given the following information in the question:

The population of a city, P, in millions, is a function of t.

P= f(t)

where P is the population of city in millions and t is the number of years after 2010.

We have to interpret the meaning o the statement f(5) = 10.

f(5) = 10

Interpretation:

Comparing the relation we get,

It means that the population of city is 10 millions in year 2015 that is 5 years after 2010.

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Given the system of constraints name all vertices. Then find the maximum value of the given objective
larisa86 [58]

Answer:

35

Step-by-step explanation:

The constraints are

The red line represents the function

y\leq \dfrac{1}{3}x+1

At y=0

0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3

At x=0

y=0+1\\\Rightarrow y=1

Two points are (-3,0),(0,1)

The blue line represents the function

5\geq y+x

at y=0

5=x

at x=0

y=5

Two points are (5,0),(0,5)

The other two constraints are x\geq 0, y\geq 0. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

(3,2)

7x-2y=7\times 3-2\times 2=17

(5,0)

7x-2y=7\times 5-2\times 0=35

So, the maximum value of the function is 35.

3 0
3 years ago
(3,1) (1,5) in slope intercept form
Musya8 [376]

Answer:

y= -2x + 7

Step-by-step explanation:

7 0
3 years ago
Plz answer both for 10 points.!!! Thx for the help.
ratelena [41]
Both questions make use of the formula for the area of a triangle:
.. A = (1/2)*b*h

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24. A = (1/2)*b*h
.. 84.5 = (1/2)*13*h . . . . . substitute the given values

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The height of the triangle is 13 cm.
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3 years ago
This area model shows the quotient of 1/5÷4.
KiRa [710]

Answer: 4/5

Step-by-step explanation: 1/5 times 5/1=4/5

7 0
3 years ago
What does (x + 3)(x - 5)=
iragen [17]
Your answer will be x2-2x-15
8 0
3 years ago
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