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seropon [69]
2 years ago
10

The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years sinc

e 2005 and f (x) is the population of the city in thousands of people. What is the estimated population of the city in 2010?
Mathematics
1 answer:
kramer2 years ago
3 0

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function f (x) = - 45x^2 + 350x + 1,590 models the population of a city where x represents the number of years since 2005.

To Find:  population of the city in 2010

We need to put x= 2010-2005 = 5

f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

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Please tell me the answer to X. I really need your help. I'll even give you Brainliest if you give a proper answer with no downl
kifflom [539]

Answer:

6

Step-by-step explanation:

expand

x-7= 1/4x-10/4

3/4x=18/4

multiply 4 on both sides to get rid of the denominator

3x=18

x=6

check work by substituting

6-7= 1/4(6-10)

-1= 1/4(-4)

-1=-1

they are equal, so it's correct

8 0
3 years ago
Dwayne starts assembling marketing packets at 11 a.m. Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at
musickatia [10]

Answer:

Option A = 75 is the best option

Step-by-step explanation:

It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets

Rate = Number of jobs done/Time taken = 90 packages/hr

Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.

Dwayne has assembled the same number of packages = 225 (as reported in the question),

It took Ashlie 2.5 hours (11 am - 2pm)

Then, his work rate is calculated as:  Number of jobs done/Time taken = 225 packages/3 hours = 75

Thus, option A = 75 is the best option

4 0
2 years ago
Solve and plot your answer on the number line below: 7.08 + 2x=15.96
NemiM [27]
7.08 + 2x =15.96
-7.08. -7.08
-------------------------
2x=8.88 divide each by 2

X=4.44
You would plot it in between 4 and 5 but on one of the line marks depending on what there value are
6 0
3 years ago
Find the equation of the line passing through (1,4) and (-2,-1).
wel

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

8 0
2 years ago
How many minutes are in 5/6, 1/2, and 2/3 of an hour
julia-pushkina [17]
An hour has 60 minutes.

-> 5/6 of 60 minutes
5/6*60
=50

So, 50 minutes

-> 1/2 of 60 minutes
1/2*60
=30

So, 30 minutes

-> 2/3 of 60 minutes
2/3*60
=40

So, 40 minutes.


Hope this helps. If you have any questions, please put them in the comments below.
5 0
3 years ago
Read 2 more answers
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