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siniylev [52]
3 years ago
15

Write the equation of the line which contains all images of point C.

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Answer:

A. y = \frac{1}{4}x - 2

Step-by-step explanation:

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Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons
worty [1.4K]

Answer:

<em>Part A)</em><em>The amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<em>Part B) </em><em>it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) </em><em>The water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

Step-by-step explanation:

<em>Information fetching:</em>

  • Tank of water can hold up-to 10 gallons.
  • When it is active, a drain empties water from the tank at a constant rate.
  • 7 gallons of water present in the tank when Jade first saw
  • 5 gallons of water left after 3 minutes

<em>Part A) At what rate is the amount of water in the tank changing?</em>

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be <em>-2/3 gallons per minute. </em>Hence, <em>the amount of water in the tank is changing at </em><em>-2/3 gallons per minute. </em>

<u><em>Note</em></u><u><em>: </em></u><u>negative sign indicates the number of gallons of water are decreasing.</u>

<em>Part B) How many more minutes will it take for the tank to drain completely.</em>

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

    m = 5 (3/2)

      = 15/2

      = 7.5 minutes

<em>So, it will take </em><em>7.5 minutes</em><em> for the tank to drain completely.</em>

<em>Part C) How many minutes before Jada arrived was the water tank completely full</em>

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

    (2/3) (m) = 3

    m = 3(3/2) = 9/2

        = 4.5 minutes

<em>So, the water tank was completely full </em><em>4.5 minutes</em><em> before Jada arrived.</em>

<em />

<em>Keywords: time rate of change, time</em>

<em> Learn more about time rate of change from brainly.com/question/6279456</em>

<em> #LearnwithBrainly </em>

3 0
3 years ago
Can anyone tell me how you could describe this answer to the equation?
DanielleElmas [232]

The end behavior of the given polynomial is that as x → -∞ or  x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or  x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

8 0
1 year ago
The variables x and y are directly proportional, and y=2 when x=3. what is the value of y when x=9?
laiz [17]
X varies directly as y
x = ky
3 = 2k
k = \frac{3}{2}
 when x =9
9 = \frac{3}{2}y
\frac{18}{3} = y
∴y = 6

please mark as brainliest
8 0
3 years ago
Read 2 more answers
What is the measure of the unknown angle?
worty [1.4K]

The measure of the unknown angle in the full circle is calculated as: 310 degrees.

<h3>What is the Measure of a Full Circle?</h3>

The angle measure of a full circle equals 360 degrees.

The full circle given is divided into two angles, of which 50 degrees is a measure of one of the angles.

The unknown angle = 360 - 50 = 310 degrees.

Learn more about a full circle on:

brainly.com/question/16724928

#SPJ1

7 0
2 years ago
A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i
Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

x+y=5200 or x=5200-y  .... (1)

As, total income for the two investments is $194, so equation is:

0.04x+0.03y=194   ....(2)

Putting value of x from (1) in (2)

0.04(5200-y)+0.03y=194

208-0.04y+0.03y=194

0.01y=14

y=1400

And x=5200-y

x=5200-1400=3800

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0
2 years ago
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