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zhannawk [14.2K]
2 years ago
11

The populations of two cities after t years can be modeled by -150t+50,000 and 50t+75,000 . What is the difference in the popula

tions of the cities when t=4 ?
Mathematics
2 answers:
Alex2 years ago
4 0
50t+34 t=4 is accelerating
creativ13 [48]2 years ago
3 0

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

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Irina-Kira [14]

Answer:

d does not have an inverse image

Step-by-step explanation:

From the question we are told that

    The  first set is    A (10, 11, 12, 13 )

     The  second set is     B (a, b, c, d)

      The function that from A to B is  f(10, a), (11,a), (12, b), (13,b))

Generally for a function defined by (x,y), y is the image of x while x is the inverse image  of  y

Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function

hence d does not have an inverse image  

       

8 0
3 years ago
a concession stand is selling hot dogs and hamburgers during a game. at halftime they sold a total of 78 hot dogs and hamburgers
lara31 [8.8K]
Let x=number of hamburgers sold and y=number of hot dogs sold.
Step 1)
cost of burgers X # of burgers + cost of hotdogs X # of hotdogs=$ collected               1.5x + 1.25y=105.5

step 2)
# of burgers sold + number of hot dogs sold = total number of items sold
     x + y = 78

step 3)  solve for y in the second equation
     y = 78 - x

step 4)  substitute y = 78 - x in the first equation for the value of y and solve for x
     1.5x + 1.25(78 - x)=105.50
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     .25x = 8
     x = 32


step 5)  plug in our value for x in the second equation and solve for y
     x+y=78
     32+y=78
     y=46

answer       32 hamburgers and 46 hot dogs
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Aloiza [94]

The one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

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It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The steps involved in the factorization are;

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Hence the one way to determine factors of x³  + 11x² – 3x – 33  will be x^2(x+11)-3(x+11)_.

To learn more about the factorization refer to the link;

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                               =10
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