Extra points not in words

Mathematics

1 answer:

Mashcka [7]4 years ago

6 0

$Step^1: 6 - 1 - 2(n) + 5 \\ Step^2: 2(n) = 0 \\ Step ^3: \frac{2n}{0} = 0 ; \\ Step^4 \frac{0}{0} = 0 \\ Step^5:Answer : n = 0 \\ Step^6: Number Of Solutions: 1Solution$
$good\\luck\\on\\your \\ assignment$

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A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per ho

SashulF [63]

Answer:

$y=-4x+18$

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is: $y=mx+b$ , where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.

Upon substituting our given values in slope-intercept form of equation we will get,

$y=-4x+18$

Let us find x-intercept by substituting y=0 in our equation.

$0=-4x+18$