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Vika [28.1K]
3 years ago
5

Y = 4(x–3) + 7 What is the Horizontal Asymptote?

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

y = 4(x-3) + 7

4x-3 + 7

+3. +3

_____________

4x. 10

4. 4

_______________

x = 2.5

Horizontal Asymptote are horizontal lines the graph approaches

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How do you do 5+5?
steposvetlana [31]

Answer:

If you had 5 apples and Johnny gave you five more how much do you have? Lets count

10 OMG 5+5 is 10

6 0
3 years ago
Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
3 years ago
PLZ HELP I NEED THISS
Nikolay [14]

Answer:

Step-by-step explanation:

1) 5

2) -3, which becomes 3

3) it would land at either 3, or -3

4) 7 or -7

5) if it is to the left, that means it is negative. there fore, your answer is -4

6 0
3 years ago
How do you solve 4x+10=3x+37
lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 10 = 3x + 37

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 3x on both sides:                    x + 10 = 37
  2. Subtract 10 on both sides:                     x = 27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(27) + 10 = 3(27) + 37
  2. Multiply:                        108 + 10 = 81 + 37
  3. Add:                               118 = 118

And we have our final answer!

7 0
3 years ago
The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

Now, we have to determine the minimum cost to produce the product.

Since f(x) = 5x^{2} -70x+258.

f'(x) = 10x-70

Now, let f'(x)=0

10x-70=0\\10x=70

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0
2 years ago
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