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mojhsa [17]
2 years ago
6

What is the slope if the line is differeniable.

Mathematics
1 answer:
denis-greek [22]2 years ago
7 0

Step-by-step explanation:

you mean "differentiable" ?

well, remember, a line equation is

y = ax + b

a is the slope

it is always, ALWAYS the factor of x.

now we differentiate the line equation per dx/dy

y' = a

and that is that.

the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.

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The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's spri
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Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

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One way to solve this would be to solve for L in the first equation and substitute that into the second

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30 * 55 - 30 * M + 15 * M = 1350

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subtract 1650 from both sides to isolate the M and its coefficient

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Answer:

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Step-by-step explanation:

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