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2 years ago

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Identify each as an example of exponential growth or decay. What is the y-intercept? What is the end behavior? 1)y=10(0.45)^x 2)

y=.75(4)^x

1 answer:

jeyben [28]2 years ago

5 0

The best answer is number 1

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What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =

Masteriza [31]

For this case we have the following system of equations:

$x-3y = -13\\5x + 7y = 34$

From the first equation we clear "x":

$x = -13 + 3y$

We substitute in the second equation:

$5 (-13 + 3y) + 7y = 34$

We apply distributive property:

$-65 + 15y + 7y = 34$

We add similar terms:

$-65 + 22y = 34$

We add 65 to both sides:

$22y = 34 + 65\\22y = 99$

We divide between 22 on both sides:

$y = \frac {99} {22}\\y = \frac {9} {2}$

We look for the value of the variable "x":

$x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}$

Thus, the solution of the system is:

$(x, y): (\frac {1} {2}, \frac {9} {2})$

ANswer:

$(x, y): (\frac {1} {2}, \frac {9} {2})$

5 0

3 years ago

Read 2 more answers

True or false<br><br> the third term of (y+4)^8 is 448y^6

Tema [17]

That is true, I don,t quite know how to explain it but I just did this problem yesterday.

6 0

3 years ago

An angle less than 90 degrees

OverLord2011 [107]

Answer:

<u>Acute Angle</u>

Step-by-step explanation:

<u>Obtuse Angle</u> is greater than 90 degrees

<u>Right Angle</u> is exactly 90 degrees

<u>Acute Angle</u> is less than 90 degrees

5 0

3 years ago

A company with n employees publishes an internal calendar, where each day lists the employees having a birthday that day. What i

lutik1710 [3]

Answer: $1-(\frac{364}{365})^n$

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^x$ , where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.

We assume that the total number of days in a particular year are 365.

Then , the probability for each employee to have birthday on a certain day :

$p=\dfrac{1}{365}$

Given : The number of employee in the company = n

Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

$P(x\geq1)=1-P(x$

Hence, the probability there is at least one day in a year when nobody has a birthday = $1-(\frac{364}{365})^n$

5 0

3 years ago

Please help please please

dezoksy [38]

Look at the picture.

Corresponding angles:

∠1 and ∠5

∠2 and ∠6

∠3 and ∠7

∠4 and ∠8

<h3>Therefore your answer is ∠1 and ∠5</h3>

4 0

3 years ago