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Harrizon [31]
2 years ago
8

Write an equation in point slope form for the line through the point (2,-7) with slope m = -1/3

Mathematics
1 answer:
Margarita [4]2 years ago
7 0

Answer:

y = -1/3x-7

Step-by-step explanation:

y = mx + b

m is the slope so -1/3.  B is the y-intercept so -7

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3 years ago
A phone plan charges $15.95 per month and $0.10 for every minute, m, that the phone is used. Mr. Kordemsky wants his phone bill
aleksandrvk [35]

Answer:

The inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

Step-by-step explanation:

From the information provided, the inequality would indicate that the phone bill for the month that is equal to the result of the fixed fee plus the price per minute for the number of minutes has to be less than $40, which can be expressed as:

15.95+0.10m<40

Now, you can solve for m:

15.95+0.10m<40

0.10m<40-15.95

0.10m<24.05

m<24.05/0.10

m<240.5

According to this, the answer is that the inequality that could be used to model this situation is 15.95+0.10m<40. Also, the number of minutes has to be less than 240.5 for Mr. Kordemsky's phone bill for the month to be less than $40.

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3 years ago
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gulaghasi [49]

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4 0
3 years ago
Write 8/9<br> as a decimal.
luda_lava [24]

Answer: 0.88888889

Step-by-step explanation:

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4 0
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Read 2 more answers
Prove that x-1 is a factor of x^n-1 for any positive integer n.
PolarNik [594]

Answer:    

x-1 is a factor of x^n - 1

Step-by-step explanation:

x-1 is a factor of x^n - 1

We will prove this with the help of principal of mathematical induction.

For n = 1, x-1 is a factor x-1, which is true.

Let the given statement be true for n = k that is x-1 is a factor of x^k - 1.

Thus, x^k - 1 can be written equal to  y(x-1), where y is an integer.

Now, we will prove that the given statement is true for n = k+1

x^{k+1} - 1\\=(x-1)x^k + x^k - 1\\=(x-1)x^k + y(x-1)\\(x-1)(x^k + y)

Thus, x^k - 1 is divisible by x-1.

Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.

3 0
3 years ago
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