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3 years ago

Morgan is in the business of manufacturing phones. She pays a cost of $200

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

3 0

Answer:

C = 200p + 400

Step-by-step explanation:

Because C is the cost of a given day, 400 acts as a y-intercept.

400 is the initial fee paid then 200 per each phone manifactured, meaning that 200 is the slope.

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Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a

Sladkaya [172]

Answer:

Part A: The length of each side is $3x-2$ units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> $9x^2-12x+4$

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

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3 years ago

2 times 2.1-(2.8 times 1.5)

natali 33 [55]

The simplest answer is 0 if u actrually do the work if u have to sneak a calculator in XD

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3 years ago

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AveGali [126]

$y=|\dfrac{1}{2}x-2|+3$

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

$y=|\dfrac{1}{2}(x-1)-2|+3$

After simplifying, we now have the following equation:

$=|\dfrac{1}{2}x-\dfrac{5}{2}|+3$

This is the new equation. Let me know if you need any clarifications, thanks!

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3 years ago

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The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years

kompoz [17]

Answer:

The correct answer is " $0.300993e^{-0.300993x}$ ".

Step-by-step explanation:

According to the question,

⇒ $P(x>4)=0.3$

We know that,

⇒ $P(X > x) = e^{(-\lambda\times x)}$

⇒ $e^{(-\lambda\times 4)} = 0.3$

∵ $\lambda = 0.300993$

Now,

⇒ $f(x) = \lambda e^{-\lambda x}$

By putting the value, we get

$=0.300993e^{-0.300993x}$

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3 years ago

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