9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
Additional comment
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year and during the year there are 600,000 births, 350,000 deaths, 100,000 immigrants, and 5,000 emigrants. You and your classmates will determine the total population at the end of the year and then model expected change over a longer period.
According to the question given,
[tex]\sf\longmapsto \: emigrants=-5000[/tex]
[tex]\sf\longmapsto \: Immigrants = 100000[/tex]
[tex]\sf\longmapsto \: Death -350000[/tex]
[tex] \sf \longmapsto \: Birth=600000[/tex]
Now let's solve out and get the result!
The change of population:
[tex] \sf \longmapsto600000-350000 + 100000 - 5000=350000[/tex]
The total population at the end of the year:
[tex]\sf\longmapsto \:2000000 + 350000 [/tex]
[tex]\sf\dashrightarrow2350000[/tex]
Hence the total population at the end of the year is 2350000.At the end of the year, the population will be 20,345,000.
The rate of change in population is 1.75%.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
The given information are,
Total population of the country initially = 20,000,000
Total number of births during the year = 600,000
Total number of deaths during the year = 350,000
Number of immigrants = 100,000
And number of emigrants = 5,000
The population at the end of the year
= 20,000,000 + 600,000 - 350,000 + 100,000 - 5,000
= 20,345,000
At the end of the year the population will be 20,345,000.
The increase in population = 20,345,000 - 20,000,000
= 345,000
the rate of increasing = 345000/20000000)x100 = 1.75%
The rate of change per year is 1.75%.
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factorise 8x+12
please
Answer:
4(2x+3)
Step-by-step explanation:
8x+12
factor out 4
4(2x+3)
please help need this done by tomorrow thank you [PHOTO]
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24
Plz help I need help
Answer:
Proportional
Step-by-step explanation:
Evaluate the expression when a=1- and c =4
a+9c=
Answer:
35
Step-by-step explanation:
1-9(4)
1-36
Help please and happy Halloween
Answer:
every time x goes up 1, y goes up 2
So the constant rate of change is 2
Step-by-step explanation:
let me know if I'm wrong
Answer:
Step-by-step explanation:
on the x side of the table it is adding 2 for every number.
On they y side of the tables it is adding 4 for every number.
It is asking for rate of change for each table not all together.
So I geuss x=2, y=4
Solve each system by elimination.
3) 3x + 4y = 12
-3x - y = 6
4) -5x – 6y = 5
-6x + 6y = 6
5) 7x - 4y = 19
10x - 2y = 16
6) 10x - 9y=-13
5x – 3y =-11
Answer:
3) x = -4 and y = 6
4) x = -1 and y = 0
5) x = 1 and y = -3
6) x = -4 and y = -3
Step-by-step explanation:
3) Add the equations:
(3x + 4y = 12) + (-3x - y = 6) (eliminate the x)
= 3y = 18
y = 18/3
y = 6
3x + 4(6) = 12
3x = 12 - 24
x = -12/3 = 4
4) Add the equations:
(-5x - 6y = 5) + (-6x + 6y = 6)
-11x = 11
x = -1
-5(-1) -6y = 5
-6y = 5 - 5
y = 0
5) 7x -4y = 19
10x - 2y = 16
Multiply the second equation by -2 to eliminate the y and add both equations.
-2(10x -2y = 16) =
(-20x + 4y = -32) + (7x - 4y = 19)
-13x = -13
x = 1
7(1) - 4y = 19
-4y = 19-7
y = 12/-4
y = 3
6) multiply the second equation by -2 to eliminate the x and then add the equations.
-2(5x - 3y = - 11) =
(-10x + 6y = 22) + (10x - 9y = - 13)
= -3y = 9
y = - 3
10x - 9(-3) = - 13
10x = -13 - 27
x = -40/10
x = -4
4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations
4. -17/3
5. -20
6. 10
7. -14
8. -11
9. -25
10. -30
11. -25
12. 22
13. 14
14. -15
15. -10
i have so many points help me
Divide.
(−15)÷(−45)
What is the quotient?
Enter your answer as a simplified fraction in the box.
Why was cuneiform important?
Answer:
It is important because it provides information about ancient Sumerian history and the history of humanity as a whole.
Step-by-step explanation:
Hope this helps.
the population in a town is 10,000. The population is growing at a rate of 0.08. what will the population be in 10 years
Hope this helps have a nice day!!!!
3/5 of 2 kg
what is the answer
Answer: 1.2 kilograms Brainliest please happy to help
Step-by-step explanation:
ik how to do the calculation but 36 doesn't come in 5's table (the table I'm using to cancel) so i don't know how to cancel 150 by 360 thus i can't find the angles for it
Answer:Take as an example
Step-by-step explanation:
7,203 x 6,892. If I want to know that exactly, then I reach for Mathematica (or if I absolutely have to, I reach for pencil and paper to apply multiplication in columns). But often I just need a rough answer, so I mentally convert this to 7,000 x 7,000 = 7 x 7 x 1,000 x 1,000 = 49,000,000. More formally I am converting the numbers the nearest approximation of the form k x 10n where k ∈ {the set of numbers for which I know times tables}. Then I use the times tables on the remaining significant digits and implicitly use the 10 times table to get the magnitude right. In this case the real answer is:
A theme park has a Ferris wheel that takes 2 minutes to go around its 450-foot circumference. The equation · (130) = 450 relates the speed of the Ferris wheel to its circumference. What exactly does represent?
Answer: The Ferris wheel’s speed in feet per hour.
Step-by-step explanation:
4) Which number is a factor
of 24 but not a multiple
of 6?
3) A local meteorologist measured the rain during a storm and recorded it on a graph. At what
rate did the rain fall?
50 POINTS PLEASE HELP ASAP THANK YOU
Answer:
The rain fell at 2cm per hour
Answer:
A) 2 cm per hourStep-by-step explanation:
Use two ordered pairs from the graph to find the rate of change:
(0, 0), (1, 2)m = 2/1 = 2Correct choice is A
Please help with this question! (Brainliest)
Answer: -45j -9k
Step-by-step explanation:
Answer:
-45j - 9kStep-by-step explanation:
[tex] - 9 \: \: . \: \: (5j + k) \\ - 9(5j) -9(k) \\ - 45j - 9k \\ [/tex]
please help me asap!!!!
Answer: POSSIBLY B
Step-by-step explanation:
??????????????????????
Answer:
f(x) = x^(1/3) -3
With a translation of three down
Please help for brainliest !!
Answer:
i do bellieve it is c
Step-by-step explanation:
Let () = sin( 3 ). a. Find ′ ()
Answer:
.052
Step-by-step explanation:
sin(3) = .052
() = sin(3)
() = .052
What are the leading coefficient and degree of the polynomial?
v +9-45-124
Answer
5x
Step-by-step explanation:
A has a volume of 264 cm3
B has a volume of 891 cm3
A has a height of 8 cm
Work out the height of pot B.
Answer:
27 cm
Step-by-step explanation:
the radious of the pot:
[tex]v=\pi r^{2} h[/tex]
[tex]264=\pi r^{2} (8)[/tex]
[tex]r^{2} =\frac{264}{8\pi }[/tex]
The height of pot B
[tex]891=\pi (\frac{264}{8\pi })h[/tex]
[tex]891=(\frac{264}{8} )h[/tex]
[tex]h=\frac{(891)(8)}{264} =27[/tex]
I hope this help you
The high temperature was recorded as 23 7°F The low temperature that same day was recorded as
6.9°F
What was the difference between the high and low temperatures for that day?
Enter your answer as a decimal in the box
Answer:
The high temperature was recorded as 23 7°F The low temperature that same day was recorded as
-6.9°F
What was the difference between the high and low temperatures for that day?
Enter your answer as a decimal in the box
Answer is 30.6
Step-by-step explanation:
23.7
- 6.9
______
30.6
Have a blessed day
The difference between the high and low temperatures for that day is 30.6
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The high temperature was recorded as 23 7°F = +23.7
the low temperature that same day was recorded as 6.9°F = -6.9 F
so, difference between the high and low temperatures for that day
= 23.7- (-6.9)
= 30.6
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n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.
The medal category in which the United States far outperformed its closest competitor is the gold medal category.
In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.
Gold medal
Medals US got = 1022
Medals the closest competitor had = Soviet Union = 440
Difference = 1022 - 440 = 582 medals.
Silver medals
Medals US got = 794
Medals the closest competitor had = Soviet Union = 357
Difference = 794 - 357 = 437 medals
Bronze medals
Medals US got = 704
Medals the closest competitor had = Germany = 349
Difference = 704 - 349 = 355 medals
Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults
4/8 -2/8 = help me simplify the answer help plzz
Answer:
the answer is 0.25
Step-by-step explanation:
hope that helps
A rectangle is 51.6 cm tall and 45.6 cm wide. If it is reduced to a width of 3.8 cm, then how tall will it be?
Answer:
jjdttfyuy
Step-by-step explanation:
Order these numbers from least to greatest:
4[tex]\pi[/tex] , v18, 14, 9
Answer:
18,14,9
Step-by-step explanation:
enjoy
Select True or False for each statement pls.
Statement 1: False
Statement 2: True
Statement 3: True
Help me please!!!!! ✨✨✨✨✨✨✨✨
Answer:
-1 thats correcto...uh but why