Answer:Answer: y=x/3−2.
Step-by-step explanation:
find the equation of the line perpendicular to the line y=2−3x passing through the point (3,−1).
The equation of the line in the slope-intercept form is y=2−3x.
The slope of the perpendicular line is negative inverse: m=13.
So, the equation of the perpendicular line is y=x3+a.
To find a, we use the fact that the line should pass through the given point: −1=(13)⋅(3)+a.
Thus, a=−2.
Therefore, the equation of the line is y=x3−2.
Answer: y=x/3−2.
Answer:
The first month new members have to pay 188 dollars for the membership.
The equation is 160x+28=y
x stands for the number of months and y stands for the total cost.
For the first month (membership starts) the total cost is 188$. For the second month the total money paid would be 348$. For the third month the total money paid would be 508$. And so on you can use the equation to solve for more months. Just substitute x for the number of months you are solving for.
For the elimination method, you need to have one variable that eliminates and cancel each other out. In this question lets use the variable y. A common denominator for y in the equation would be -8 since we want the variables y to cancel out. We already have 8y for the second equation. Now to get -8y for the first equation we need to multiply everything by -2 this would leave us with 14x+-8y=2. Now all you have to do is add the two equations. 10x=-10. So the final answer for x is -1. To find y just substitute the x value in the first equation which would give you y=-2. See that wasn't so hard:))
5 Girls + 3 Boys =8 (sample size)
Probability of choosing 1 boy P(1 B) = 3/8
Probability of NOT CHOOSING ANY BOY = 1-3/8 =5/8
Now apply the binomial probability to choose 3 Boys:
8C3(3/8)³(5/8)⁵ ==>P(All boys) = 0.28
Again take the variable to be x
x^12-15