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3 years ago

What is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?

Mathematics

1 answer:

Harman [31]3 years ago

8 0

Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.

Explanation:

y = 6, x = -6

By putting above values in equation (i)

6 = approximately -1.66 (-6) + b

6 = approximately 9.96 + b

approximately -3.96 = b

b = approximately -3.96

y = -5/3x + -3.96

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You are a contestant on the all new "Let’s Make A Deal" with Montana Hill. Montana brings you up to play the 6 doors game. Behin

netineya [11]

Answer:

A. The probability of getting a prize (of either $1200 or $120) if you switch your guess after Montana opens one door is 0.6

B. The fair price you should be willing to pay to play this game is $264

Step-by-step explanation:

A. According ot the given data Let A be the event of wining a prize

Let B the event of losing a prize

P(A)=2/6C1=2/6=1/3

P(B)=1-P(A)=2/3

Hence, after opening the door:

P(A I B)=P(A∩B)/P(A)

P(A∩B)=2/5

P(A I B)=2/5/2/3

P(A I B)=0.6

The probability of getting a prize (of either $1200 or $120) if you switch your guess after Montana opens one door is 0.6

B. The fair price you should be willing to pay to play this game=∑(expected prize) probability

The fair price you should be willing to pay to play this game=1200*1/5 + 120*1/5 + 0*3/5

The fair price you should be willing to pay to play this game=$264

The fair price you should be willing to pay to play this game is $264

4 0

3 years ago

Find x in the triangle below. Round your answer to the nearest tenth.

jonny [76]

Answer:

Step-by-step explanation:

Remark

x is opposite the 90 degree angle. It is the hypotenuse.
13 makes up the 57 degree angle. It is the side adjacent.
The adjacent side and the hypotenuse define the cos(theta).

Formula

cos(theta) = adjacent side / hypotenuse

Givens

Theta = 57 degrees

Hypotenuse = x

Side adjacent = 13

Solution

Cos(57) = 13 / x Multiply both sides by x
x*cos(57) = 13 Divide by cos(theta)
x = 13/cos(57)
x = 13 / cos(57)
cos(57) = 0.5446
x = 13/ 0.5446
x = 23.87

6 0

3 years ago

Big thank you if you help me ;D

Georgia [21]

Answer:

Step-by-step explanation:

I find it hard to believe that you were asked to find the solution to a cubic by any other method than graphing it, which I have given below. Not only that, the numbers are very awkward.

The best you could do I think is equate the two equations after you have looked at the graph.

The x value must satisfy

0.5(x - 4) = 2x^3 - 2x - 3

0.5x - 2 = 2x^3 - 2x - 3

2x^3 + 0.5x - 2x - 3 +2 = 0

3x^3 - 1.5x - 1 = 0

from which you can get y

My calculator gives the solution as

x = 0.5

y = - 1.75

I have corrected the mistake I made doing this. The answer is now correct. The graph shows the original two equations which agrees with the combined equation given above.

5 0

3 years ago

Given that P = (7, 16) and Q = (-1, 7), find the component form and magnitude of vector QP .

umka2103 [35]

QP = (8, 9) and | QP | = √145

QP = p - q = (7, 16 ) - ( - 1,7) = ( 7 + 1, 16 - 7) = (8, 9)

given a vector (x , y) then magnitude = √x² + y²

|QP | = | 8² + 9² = √145

3 0

3 years ago

Read 2 more answers

Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is twelve. Two times the first num

adoni [48]

The solution to the system of equations is x = 8, y = 4.

<h3>How to write the system of equations?</h3>

First, let's define our variables as x and y.

"the sum of two numbers is twelve" is written as:

x + y = 12

"two times the first number minus three times the second number is four" is written as:

2x - 3y = 4

Then the system of equations is:

x + y = 12

2x - 3y = 4

<h3>How to solve it?</h3>

First, we isolate one of the variables in one equation, I will isolate x on the first one to get:

x = 12 - y

Now we replace this on the other equation, so we get:

2*(12 - y) - 3y = 4

Now we can solve this for y.

24 - 2y - 3y = 4

24 - 5y = 4

24 - 4 = 5y

20/5 = y = 4

Now we know the value of y, and:

x = 12 - y = 12 - 4 = 8

Then the solution of the system is:

x = 8, y = 4.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

7 0

2 years ago