What is the rate of change for 7x + 8y = 56

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

-7/8

Step-by-step explanation:

7x+8y=56

8y=-7x+56

8y/8=(-7x+56)/8

y=(-7/8)x+7

Slope is the rate of change.

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Suppose an identical ladder was put against a building that was 18 feet high and the ladder reached the top of the building. How

nikdorinn [45]

The distance between the bottom of the ladder be from the base of the building will be 17.32 ft.

<h3>What is the Pythagorean theorem?</h3>

It states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

As we can see in the figure the length of the ladder is 20 ft and the base of the ladder is 10 ft from the base of the building.

By using the Pythagorean theorem we will calculate the distance between the tip of the ladder and the base of the building.

H² = 20² - 10²

H²= 400 - 300

H² = 300

H = √300

H = 17.32 ft.

Therefore the distance between the bottom of the ladder is from the base of the building will be 17.32 ft.

To know more about the Pythagorean theorem follow

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2 years ago

You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec

elena-14-01-66 [18.8K]

The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5

The probability that you will guess all three answers correctly is

(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)

W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way

Statistically, if your answers are all pure guesses,
then on the average, the score you expect is

(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

= 400 / 8

= 50% .

If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.

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3 years ago

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo

Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

No. of people work for the manager = 50

X = 3, 4 , 5 , 6 , 7, 8

P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours