When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
Answers
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
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Hi ;-)
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Answer:
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Is the set of real numbers closed under addition? Explain why or why not. If it is not closed, give an example
Answers
Answer: Yes, the set of real numbers is closed under addition.
Explanation:
Let x and y be two real numbers. Their sum x+y is some other real number. This is what it means when we say the set of real numbers is closed under addition. Taking any two numbers and adding them will get us some other real number.
There is no way to have x+y be nonreal while x,y are both real.
r-6
--------- = - 3
- 3
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Answer:
r=0
Step-by-step explanation:
Someone answer please and thank you! No photos please those are blocked for me!
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ans:- 125 cm cubed
ur welcome
Samantha's car used 3 gallons to travel 51 miles. At what rate does the car use gas, in miles per gallon?
Answers
Answer:
17 miles per gallon
Step-by-step explanation:
Divide 51 by 3. Here's a better way to understand it:
Create a ratio to represent miles to gallons: 51-to-3
To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.
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please help....can any one solve it
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Answer:
plz mark me as a brainlist
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Using the formulas of the area of a quadrilateral, the area (A) of the given kite is, A = (1/2) × d1 × d2 = (1/2) × 18 × 15 = 135 square units
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[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
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Use herons formula and find areas of the triangles .add them and get the area
find the determinant of 2P-3Q if P=(2/3-1/4) and Q=(2/0-3/5)
Answers
＝2×(2/3－1/4)－3×(2/0－2/5)
Any expression divided by 0 is undefined
Hope my answer helped u :)
Marking brainliest
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Step-by-step explanation:
........Student
........ Cousin
......... Child
Answer:
Step-by-step explanation:
daughter cousin (if you have any).mother (if you are one)family member (if it applies)best friend.a region's average movie theater ticket price in 2007 was $6.72. For 2017, it was estimated to be $8.81. Find the percent of increase in average movie theater ticket price for this 10-year periods
Answers
Answer:
31.1011905%
Step-by-step explanation:
Take the new price and subtract the original price
8.81 - 6.72
2.09
Divide by the original price
2.09/6.72
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Change to percent form
31.1011905%
Percent of increase in average movie theatre ticket price will be 31.1%
Given prices of the ticket in two different years are,
In year 2007 price of the ticket was $6.72After 10 years price of the ticket is $8.81To calculate the percent increase in the price of an object expression to be used,
Percent increase = [tex]\frac{\text{Final price - Initial price}}{\text{Initial price}}\times 100[/tex]
= [tex]\frac{8.81-6.72}{6.72}\times 100[/tex]
= [tex]0.311\times 100[/tex]
= [tex]31.10[/tex]%
Therefore, percent of increase in the price of the ticket will be 31.1%
Learn more,
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Answer:
The choose B. 2(2m-1)-8m
Step-by-step explanation:
2(2m-1)-8m = 4m-2 + (-8m)
I hope I helped you^_^
if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answers
Answer:
2
Step-by-step explanation:
In an AP, Tn = a + (n - 1)d
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I hope this will help you :-)
Answer:
[tex]x6 = 11 \\ x1 = 1 \\ x6 \: can \: be \: written \: as \: x6 = x1 + 5d \\ x6 = 1 + 5d \\ 11 = 1 + 5d \\ 10 = 5d \\ d = \frac{10}{5} \\ d = 2 \\ thank \: you[/tex]
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[tex] \frac{x}{y} [/tex]
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31. There is 4 non quadraletrial so the probability is 2/3.
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33.There is only multi right angles figures so 1/2 is the probability.
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A $40.00 shirt is on sale for 35% off. How much will I save?
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Answer:
You will save $14.00
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(4) (8) translate to words
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Answer:
(4) (8)
four times 8
Please can you mark me as brainliest if you think my answer is helpful.
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Answers
between Y and Z. If XZ = 90, YT = 22, and XY = TZ, what is XT?
=XZ=90
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Simplify the answer has to be a positive exponent Please help!
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9.25 pm → midnight = 2 hours 35 minutes , then
2 hours 35 minutes + 4 hours 10 minutes
= (2 + 4) + (35 + 10)
= 6 hours 45minutes
ɪ ɴᴇᴇᴅ ʜᴇʟᴘ ᴡɪᴛʜ ᴛʜɪꜱ !
ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
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[tex] \\ [/tex]
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Answer:
I hope it will helpful.
Step-by-step explanation:
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Answer:
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Answer:
x < -3/4
Step-by-step explanation:
21x + 3x < 10 - 28
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Answer:
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c)360
Step-by-step explanation:
x−0.8x=72
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Answer:
3.49410504
It is the answer hope it helps.
Mark me as Brainliest plz
Answer:
3.49410503751
Step-by-step explanation:
But as a smaller version it is
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Step-by-step explanation:
Answer-
b) 1
1. Which of the following is an example of like
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a. - 16 and - 16x
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If (x + 4)^2 = 49 and x < 0. what is the value of x?
Answers
Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
-11 + 4 = -7
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Answer:
x = -11
Step-by-step explanation:
To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.
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Answers
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Ok, so we know 42 is the number of points added up, and we know that she threw 6 darts all scoring the same. Now, all we have to do is figure out what number(for example x) multiplied by 6 equals 42. Or in the form of an equation:
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Now, to finish the equation, all we have to do is divide:
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a = ?
This is my first question, I know the answer. I just wanna test the platform.
Answers
Answer:
2999
Step-by-step explanation:
a + 1 = 3000
=> Subtracting 1 from both sides,
=> a + 1 - 1 = 3000 - 1
=> a = 2999
