Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
multiply the first fraction by the second one
which is
1/4 times 1/2 equals 1/8
Answer:the answer would be 1 4 6
Step-by-step explanation:
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Given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Given that Teresa is playing a game of chance in which she tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8, and the dart lands on a numbered slice at random, and this game is this: Teresa tosses the dart once, and she wins $1 if the dart lands in slice 1, $3 if the dart lands in slice 2, $5 if the dart lands in slice 3, $8 if the dart lands in slice 4, and $10 if the dart lands in slice 5, but she loses $5 if the dart lands in slices 6, 7, or 8, to find the expected value of playing the game, and determine what can Teresa expect in the long run, after playing the game many times, she must perform the following calculation:
- (1 + 3 + 5 + 8 + 10 - 5 - 5 - 5) / 8 = X
- 12 / 8 = X
- 1.5 = X
Therefore, given that Teresa has a 5 out of 8 chance of making a profit, and an expected value of $1.50 in profit each turn, in the long run she has a better chance of making money than losing it.
Learn more about maths in brainly.com/question/15605256
