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2 years ago

(1, 3) and (-3, -5) write a linear equation given the two points

Mathematics

1 answer:

Firlakuza [10]2 years ago

7 0

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope; (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using the slope intercept formula: y = mx + b

m = 2 and using point (1, 3) , solve for "b"

y = mx + b

3 = 2(1) + b

3 = 2 + b

1 = b

3. Write the linear equation: y = 2x + 1

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Mrs travis wants to have the clown deliver balloons to her secretary's office. Clowns R Fun charges $1.25 per balloon and $6 for

marysya [2.9K]

The correct answer is:

6 balloons.

Explanation:

Let x represent the number of balloons purchased.

We will call the function for Clowns R Fun c(x):

c(x) = 1.25x+6

We will call the function for Singing Balloons s(x):

s(x) = 1.95x+2

We want the amount for Clowns R Fun, c(x) to be less:

c(x) < s(x)

1.25x+6 < 1.95x+2

Subtract 1.25x from each side:

1.25x+6-1.25x < 1.95x+2-1.25x

6 < 0.7x+2

Subtract 2 from each side:

6-2 < 0.7x+2-2

4 < 0.7x

Divide each side by 0.7:

4/0.7 < 0.7x/0.7

5.7 < x

x > 5.7

She must buy more than 5.7 balloons; the next integer up is 6. She must buy 6 or more balloons.

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3 years ago

Read 2 more answers

12c - 4 = 14c - 10 c = ? !!!

Sergio [31]

The answer to this question is c=3

3 0

3 years ago

On the first day of a trip, the Brenner family hikes 2.8 miles. On the second day, they hike 1.25 along a trail. They take a bre

Vadim26 [7]

They hiked more on the 2nd day because they are retracing their steps.

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3 years ago

A hockey player hits a puck along the ice, giving it an initial speed of 2.9 meters per second. If there is no friction between

Alborosie

2.9 × 1.7 = 4.93

After 1.7 seconds, the puck's speed would be 4.93 meters per second.

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2 years ago

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

Let X = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, $(2\times4)=8$ .

Compute the probability of exactly 7 defects in 4 units as follows:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

Thus, the probability of exactly 7 defects in 4 units is 0.14.

8 0

3 years ago