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victus00 [196]
4 years ago
10

The amount of water in a bathtub as it drains can be modeled by this equation with y representing the number of gallons of water

in the tub and x representing the time, in minutes, that the tub has been draining. y=−7.3x+39.7 After how many minutes will the tub have 17.8 gallons of water remaining? Enter your answer in the box.
Mathematics
2 answers:
Firlakuza [10]4 years ago
7 0

Answer:

the tub will have 17.8 gallons of water remaining after 3 minutes

Step-by-step explanation:

Stay safe and hope it helps

algol134 years ago
6 0
y = -7.3x + 39.7
 The first thing we must do for this case is to make use of the given equation and replace the value of y:
 17.8 = -7.3x + 39.7
 Now we clear x:
 7.3x = 39.7-17.8
 x = (39.7-17.8) / (7.3)
 x = 3
 Answer:
 the tub will have 17.8 gallons of water remaining after 3 minutes
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ANSWER

(3,-1)

EXPLANATION

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14

x = \frac{14}{5} = 2 .8

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1

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Step-by-step explanation:

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adding 6a to both sides
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extending the right side
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