The table shows the population of a small town over time. The function P = 10,550(1.1)x models the population x years after the year 2000.The function P = 10,550(1.1)x models the population x years after the year 2000.





For which year would this model most likely be sufficient to make a prediction of the population?


1950

2005

2025

2050

Answers

Answer 1
Answer: Generally, this model can work for all years after 2000: this is what the function altready specifies, that it has to be "after the year 2000". so all answers of 2005, 2025 and 2015 are all correct.

However, the model is most predictive in the few years after the year 2000- so the best answer is 2005- because population trends can change later.
Answer 2
Answer:

The years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

How to illustrate the population?

From the information, the first column is labeled years after 2000 with the entries.

From the information given, it was stated that the function P = 10,550(1.1)x models the population x years after the year 2000.

This implies that the prediction will be for the years after 2000.

In conclusion, the years that this model will most likely be sufficient to make a prediction of the population are 2005, 2025, and 2050.

Learn more about population on:

brainly.com/question/25896797

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A hot air balloon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute. The total cubic feet of air a(t) is a function of the in minutes t. a. Identify the independent and dependent variables. b. What values of the domain and range make sense for this situation? Explain. c. Write a function to represent the total amount of air. Then determine the total amount of air in 6 minutes.

Answers

a. The independent variable is the variable whose variation does not depend on that of another, it is often denoted by x.
In our case independent variable is time in minutes
The dependent variable is the volume of air in the balloon. 

b] The domain of the of this situation is:
[0≤t≤15]
this is because t will take 15 minutes for the balloon to get filled.

The range of the situation will be:
[0≤a(t)≤90000]

c]The function that represents this situation is a linear function given by:
y=ax+b
where:
a=rate/slope
b= initial amount of air in the balloon=0
Thus our function will be:
a(t)=6000t

d]
The total amount of air in the balloon after 6 minutes will be given by:
from
a(t)=6000t
a(6)=6000(6)
a(6)=36000 cubic feet

5. Assuming that a is not equal to c, find the x-value of the intersection point of the lines y = ax +b and y = cx + d.

Answers

The x-value of the intersection point of the lines is ( d - b)/(a-c)

Intersection of lines

Given the equation of a line expressed as;

y = ax +b and;

y = cx + d.

Equating both lines, we will have:

  • ax + b = cx + d

Make x the subject of the formula:

ax - cx = d = b

x (a-c) = d - b

x = ( d - b)/(a-c)

Hence the x-value of the intersection point of the lines is ( d - b)/(a-c)

Learn more on intersecting lines here: brainly.com/question/2065148

8 = -8
A True
© False
????

Answers

Answer:

FALSE

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

8 does not equal -8 becsue one is positive and the other is negative

What multiplies to 16 and adds to negative 12

Answers

factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm


we will solve with math
xy=16
x+y=-12
minus  x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}


0=x^2+12x+16
a=1
b=12
c=16

x=\frac{-12+/- \sqrt{12^(2)-4(1)(16) }}{2(1)}
x=(-12+/- √(144-64 ))/(2)
x=(-12+/- √(80))/(2)
x=(-12+/- 4√(5))/(2)
x=\frac{-6+/- 2√(5)
x=\frac{-6+ 2√(5) or \frac{-6- 2√(5)

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

8 times 2 8 because they are both equability right 

Los puntos (-4,4) y (2,3) estan ubicados en la linea H .¿cuales el pendiente de la linea H?

Answers

pendiente = ( y2 - y1 ) / ( x2 - x1 )

(x,y)
(-4,4)
(2,3)

x1=-4
y1=4
x2=2
y2=3


pendiente = ( 3 - 4 ) / ( 2 - (-4) )

pendiente = ( -1 ) / ( 2+4 )

pendiente = -1/6

Consider the following system of equations:y = –2x + 3
y = x – 5

Which description best describes the solution to the system of equations? (4 points)


Lines y = –2x + 3 and y = 3x - 5 intersect the x-axis.
Line y = –2x + 3 intersects line y = x – 5.
Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis.
Line y = –2x + 3 intersects the origin.

Answers

The right answer for the question that is being asked and shown above is that: "Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis." The description best describes the solution to the system of equations is that Lines y = –2x + 3 and y = 3x – 5 intersect the y-axis

The answer above/below is incorrect!!!!!!!!!!!!!! I just took the test and it was wrong!!!!