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
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Answer:
3,3
Step-by-step explanation:
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A $40.00 shirt is on sale for 35% off. How much will I save?
Answers
Answer:
You will save $14.00
Step-by-step explanation:
If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00
(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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ans:- 125 cm cubed
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Hi ;-)
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＝2×(2/3－1/4)－3×(2/0－2/5)
Any expression divided by 0 is undefined
Hope my answer helped u :)
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Answer:
r=0
Step-by-step explanation:
Joanne a total score for a round of darts was -42 she had thrown 6 darts and scored the same each throw How many points did Joanne score on each throw
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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Step-by-step explanation:
Answer-
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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.
51/3 = 17miles/gallon
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ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ
Answers
-3
Step-by-step explanation:
Integers are whole numbers; a number that is not a fraction
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[tex] \\ [/tex]
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Answer:
I hope it will helpful.
Step-by-step explanation:
I hope it will help you.
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Answer:
I think it should be 360 (C)
Answer:
c)360
Step-by-step explanation:
x−0.8x=72
0.2x=72
x= 72/0.2
answer=360
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Answers
Answer:
2
Step-by-step explanation:
In an AP, Tn = a + (n - 1)d
T6 = a + 5d = 11
The first term = a = 1
∴ T6 = 1 + 5d = 11
5d = 11 - 1
5d = 10
∴ d = 2
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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a = ?
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Answers
Answer:
2999
Step-by-step explanation:
a + 1 = 3000
=> Subtracting 1 from both sides,
=> a + 1 - 1 = 3000 - 1
=> a = 2999
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Answer:
6 hours 45 minutes
Step-by-step explanation:
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Answer:
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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
3.494
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Answers
between Y and Z. If XZ = 90, YT = 22, and XY = TZ, what is XT?
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Answers
Answer:
The choose B. 2(2m-1)-8m
Step-by-step explanation:
2(2m-1)-8m = 4m-2 + (-8m)
I hope I helped you^_^
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Answer:
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Step-by-step explanation:
21x + 3x < 10 - 28
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Marking brainliest
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Step-by-step explanation:
........Student
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Step-by-step explanation:
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Step-by-step explanation:
We are dealing with theoretical probability. This means that our probability of said outcome is
[tex] \frac{x}{y} [/tex]
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31. There is 4 non quadraletrial so the probability is 2/3.
32. There is 3 figures that has more sides than three so 1/2 is the probability.
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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.
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Answer:
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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
(-7)^2 = 49
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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Answer:
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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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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
.311011905
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%
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