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Soloha48 [4]
2 years ago
10

The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and the

n adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Check all that apply. The graph is continuous. All values of t must be positive. A viable solution is (–2, 38). A viable solution is (0.5, 40.5). A viable solution is (10, 50).
Mathematics
2 answers:
dem82 [27]2 years ago
5 0
Answers:
- All values of t must be positive
- A viable solution is (10, 50)


- All values of t must be positive. 
EXPLANATION
t, temperature (in Fahrenheit) is dependent on c
c is the number of cricket chirps heard in 14 seconds
Therefore, all values of c must be positive integers
If all values of c must be positive integers
Then all values of t must also be positive integers

- A viable solution is (10, 50).
EXPLANATION
t = c + 40
Since 10 is a positive integer, it is a possible value for c

If c = 10
t = 10 + 10
t = 50
Therefore a viable solution is (10, 50)

EXPLANATION FOR WHY OTHER OPTIONS ARE WRONG:
- The graph is continuous. 
This is WRONG because this function only allows the values of c to be only certain points in the interval (only positive integers). Therefore, it is a discrete function.

- A viable solution is (–2, 38)
This is WRONG because the -2 is a negative integer, and the value of c cannot be a negative integer.

- A viable solution is (0.5, 40.5)
This is WRONG because 0.5 is not an integer, and all values of t must also be positive integers.
dedylja [7]2 years ago
3 0

Answer:

B & E

Step-by-step explanation:

Edgen 2020

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The sum of integers x and y is 280. If x is divided by 7, the quotient is y. What is the value of x?
qwelly [4]

Answer:

x = 245

Step-by-step explanation:

The sum of integers x and y is 280; x + y = 280

If x is divided by 7, the quotient is y; x/7 = y so x = 7y

Now you have 2 equations:

x + y = 280

x = 7y

Substitute x = 7y into x + y = 280

7y  + y = 280

8y = 280

y  = 35

x = 7(35)

x = 245

Answer

x = 245

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If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?​
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Step-by-step explanation:

\bf➤ \underline{Given-} \\

\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\

\bf➤ \underline{To\: find-} \\

\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\

\bf ➤\underline{Solution-} \\

<u>Let us assume that:</u>

\rm: \longmapsto u =  {x}^{2013}

<u>Therefore, the equation becomes:</u>

\rm: \longmapsto u +  \dfrac{1}{u}  = 2

\rm: \longmapsto \dfrac{  {u}^{2} + 1}{u}  = 2

\rm: \longmapsto{u}^{2} + 1 = 2u

\rm: \longmapsto{u}^{2} - 2u + 1 =0

\rm: \longmapsto  {(u - 1)}^{2} =0

\rm: \longmapsto u = 1

<u>Now substitute the value of u. We get:</u>

\rm: \longmapsto {x}^{2013}  = 1

\rm: \longmapsto x = 1

<u>Therefore:</u>

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 1 + 1

\rm: \longmapsto {x}^{2022}  +  \dfrac{1}{ {x}^{2022} }  = 2

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

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3 years ago
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