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swat32
4 years ago
10

Find three consecutive even integers that sum up to -48

Mathematics
1 answer:
Igoryamba4 years ago
4 0
We can write the equation: x + x + 2 + x + 4 = -48, where x is the least digit and x + 4 is the greatest. We get 3x + 6 = -48, 3x = -54. x = -18, so x + 2 is -20, and x + 4 is -22. Therefore, the 3 consecutive even integers that sum to -48 are -18, -20, and -22.
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Hope this helps!
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National Textile installed a new textile machine in one of its factories at a cost of $250,000. The machine is depreciated linea
kirill115 [55]

Answer:

The required expression is y=250,000-24,000 t

Step-by-step explanation:

Consider the provided information.

National Textile installed a new textile machine in one of its factories at a cost of $250,000.

That means for 0 year the cost of the machine is $250,000.

This can be written as: (0, 250,000)

Over 10 years with a scrap value of $10,000

That means for 10 year the cost of the machine is $10,000.

This can be written as: (10, 10,000)

Now first find the rate of change:

Rate of change=m=\frac{Rise}{Run}=\frac{10,000-250,000}{10-0}

Rate of change=m=\frac{Rise}{Run}=\frac{-240,000}{10}

Rate of change=m=\frac{Rise}{Run}=-24,000

Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.

(y-250,000)=-24,000(t-0)

y-250,000=-24,000 t

y=250,000-24,000 t

Hence, the required expression is y=250,000-24,000 t

6 0
3 years ago
Sophia asked the students in her class to name their favorite sports. She made a list to display the results. 1/3 of students na
Oksana_A [137]
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Answer:

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Step-by-step explanation:

We are given that y = x^m is a solution to given differential equation.

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First we 3evaluate the value of:

y'' = m(m-1)x^{(m-2)}

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