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jarptica [38.1K]
3 years ago
9

Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope

of -3
Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0

Answer:

y-6 = -3(x+1)

Step-by-step explanation:

The point-slope form of a line is the following:

y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.

In this case, m=-3 and (xo, yo) = (-1, 6).

Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)

In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:

y-6 = -3(x+1)

tia_tia [17]3 years ago
6 0

For this case we have that the equation of a line in the point-slope form is given by:

(y-y_ {0}) = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point through which the line passes

According to the data we have to:

m = -3\\(x_ {0}, y_ {0}) = (- 1,6)

So the equation is:

(y-6) = - 3 (x - (- 1))\\(y-6) = - 3 (x + 1)

Answer:

(y-6) = - 3 (x + 1)

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Marat540 [252]

Answer:

h(f(x))=3x-4

Step-by-step explanation:

You combine both F(X) and H(x).

f(x)=x-7 , therefore  it is f(x)=1x-7

You add 2x with 1x  to get  3x

and 7-3 is -4.

h(f(x))=3x-4

7 0
3 years ago
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quester [9]

Answer:

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

Step-by-step explanation:

i) the cost of an automobile is given by the equation is

 C(t) = 28000\times(0.73)^{t}, where C(t) represents the cost and t represents the time in years

ii) the above equation is an exponential decay equation. It is a decay equation because growth rate is 0.73 which is less than 1 and greater than zero.

ii) when t = 0 then the cost is C(0) = 28000 represents the initial cost.

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therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

5 0
3 years ago
Jenny earned a 77 on her most recent test. Jenny’s score is no less than 5 points greater than Four-fifths of Terrance’s score.
lina2011 [118]

77 5 + 4/5t

Is the answer!

4 0
3 years ago
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Consider a sequence defined by the recursive rule f(1) = 15; f(n)=f(n - 1) - 6 for n 2. Choose True or
Shkiper50 [21]

Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

The fourth term of the sequence is -3  True ⇒ A

Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

  • f(1) is the first term
  • f(n) is the nth term
  • f(n - 1) is the term before the nth term
  • d is the common difference

∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

∴ The third term is 3

∴ The third term of the sequence is 3 True

∵ n = 4

∴ f(4) = f(3) - 6

∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

5 0
3 years ago
If 7 liters of petrol cost $14.70, calculate the cost of 15 liters of petrol.​
Alex73 [517]

Hi

7 = 14.70

15= X

so :  X =  15*14.70 /7 = 31.5

15 liters  of petrol cost  31.5

5 0
3 years ago
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