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Advocard [28]
3 years ago
12

The population of a large city can be calculated using the function P= 227,000(.98). What can you say about the rate of change f

rom year 1 to year 2 compared to the rate of change from year 9 to year 10?
Mathematics
1 answer:
Natali [406]3 years ago
8 0
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What is the y-coordinate of the solution to this system of equations?<br> 5x-8y=1<br> 3x+6y=-21
Vanyuwa [196]

5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
15x-24y-15x-30y=108
-54y=108
y=-2
6 0
3 years ago
The function(t)--4.87+18.75 is used to model the height of an object projected in the air, where h() is the height in
NNADVOKAT [17]

The domain and range of the given function are equal to (0, 3.85) and (0, 18.75) respectively.

<h3>How to calculate the domain of the function?</h3>

In this exercise, you're given the following function h(t) = -4.87t² + 18.75t. Next, we would equate the function to zero (0) to determine its domain as follows:

0= -4.87t² + 18.75t.

4.87t(-t + 3.85) = 0

t = 0 or t = 3.85.

Therefore, the domain is 0 ≤ t ≤ 3.85 or (0, 3.85).

<h3>How to calculate the range of the function?</h3>

h(t) = -4.87t² + 18.75t

h(t) = -4.87(t² - 3.85t + 3.85 - 3.85)

h(t) = -4.87(t - 1.925)² + 18.05

Therefore, the range is 0 ≤ h ≤ 18.05 or (0, 18.75).

Read more on domain here: brainly.com/question/17003159

#SPJ1

3 0
2 years ago
Read 2 more answers
A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =
Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

y=mx+c

Where,

  • m is the rate of change (positive if increasing rate and negative if decreasing rate)
  • c is the y intercept, or the initial value

<u><em>Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)</em></u>

<u><em>Initial value is 50 quarts, so c is 50.</em></u>

Plugging in the values we get y=-2.5x+50.


Changing variables to w instead of y and t instead of x, gives us,

w=50-2.5t. Where w is warts of water left in the tub and t is the time in minutes.


There is no viable solution when t=30 because at t=20, w=0 (0=50-2.5(20)). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.


ANSWER:

Modelling equation: w=50-2.5t

When t=30, there is no VIABLE solution

5 0
3 years ago
Read 2 more answers
Factor X-7X -5x + 35 by grouping. What is the resulting expression?
Yuliya22 [10]
The answer is c). (x-5)(x-7)
7 0
3 years ago
Bryan owes his friend more than $1,930 from a loan. Bryan has already paid his friend back $200 and continues to pay him $173 ea
Ann [662]

Answer:

Choice C

Step-by-step explanation:

Bryan owes MORE than $1930 which means how much he pays back is going to be greater than 1930$

And so, $200 + $173 for certain number of months is going to be more than 1930.

Therefore, $200+ $173x >$1930

Hope this helped..

Have a great day : )

8 0
3 years ago
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