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kondaur [170]
3 years ago
15

If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L .

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0+1} = 3

We are given the y- intercept, that is c = 3

y = 3x + 3 ← equation of line

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Correct Answers only please!
Tcecarenko [31]

Answer:

C. $97

Step-by-step explanation:

The average of his wage for all 15 days is the sum of all wages for the 15 days divided by 15.

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The amount of wages during a number of days is the product of the average wage of those days and the number of days.

First 7 days:

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number of days: 7

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8th day:

wages of the 8th day is unknown, so we let x = wages of the 8th day

total wages of 15 days = (wages of first 7 days) + (wages of 8th day) + (wages of last 7 days)

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average wage for 15 days = (x + 1253)/15

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Answer: $97

3 0
3 years ago
Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' a
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Answer:

(AB)^T = B^T.A^T  (Proved)

Step-by-step explanation:

Given  (AB )^T= B^T. A^T;

To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\                = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T}  \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)

3 0
3 years ago
A bag contains five red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. What is the probability
Vikentia [17]

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so, p(e) = n(e)/n(s)

p(e)= 9/13

=0.69

it's your answer

it will help.

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3 years ago
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