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jek_recluse
2 months ago
6

Martin is cleaning all the rooms in his house. There are 4 rooms left to clean, and he takes 7 hours to clean them. Write the eq

uation in standard form of the line that represents the number of rooms Martin has left to clean, y, after x hours.
Mathematics
1 answer:
Inessa [12.5K]2 months ago
7 0
Consequently, the equation determining the remaining number of rooms Martin has to clean after hours can be represented as:

y=-\frac{4}{7}x+b

, in which b indicates the overall number of rooms. Step-by-step explanation: It is given that Martin has 4 rooms left to clean and takes 7 hours for the task. The equation in standard form for the number of rooms remaining after x hours, y, is set up as follows: The remaining rooms y, indicates the quantity after x hours. The cleaning rate is established as follows: Considering Martin cleans 4 rooms in 7 hours, the rate at which he cleans is given by: Hence, the equation can be expressed as

y=-\frac{4}{7}x+b (Answer)

.
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Gabe mowed 5 lawns and made $150.
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2 months ago
What is the equation of the line graphed below?
Inessa [12570]
1/2x + y = 3

Rearrange the equation to achieve the slope-intercept form. (y=mx+b)

1/2x + y = 3

Eliminate 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line intersects the y-axis) is three, and the slope (the change in y over the change in x) is -1/2.

Hope this helps!
8 0
2 months ago
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Isabella built a time travel machine, but she can't control the destination of her trip. Each time she uses the machine she has
babunello [11817]

The likelihood that at least one trip occurs before Isabella's birth is 0.7627.

Step-by-step explanation:

In this scenario, Isabella has invented a time machine, but she lacks control over where she travels. Each use of the device holds a 0.25 probability of leading her to a time preceding her birth. Over the initial year of trials, she operates her machine 5 times. If we assume every journey has an equal chance of going back in time, we can calculate the odds that at least one of these trips occurs before she was born. Here's the calculation:

The probability of traveling to a time prior to her birth is 0.25.

The chance of not traveling back in time, given that the machine is used 5 times:

⇒ (1-0.25)(1-0.25)(1-0.25)(1-0.25)(1-0.25)

⇒ (1-0.25)^5

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The probability that at least one trip goes before Isabella's birth is equal to 1 minus the probability of not traveling back to that period:

⇒ 1-(0.75)^5

⇒ 0.7627

Consequently, the chance that at least one trip travels before Isabella's birth is 0.7627.

4 0
2 months ago
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What is the range of the exponential function shown below
tester [12383]

Answer : y>0

f(x) = 9*2^x

This function is exponential in form

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Substituting negative numbers for x also results in positive y values

Therefore, y remains positive regardless of the value of x.

The range comprises all possible y outputs of the function

Since y is always positive, the range is y > 0

3 0
3 months ago
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