Answer: x + 3y = 2
Step-by-step explanation:
Given:
y - 3 = 3 ( x + 1 )
y - 3 = 3x + 3
y = 3x + 3 + 3
y = 3x +6
comparing the equation with the formula for finding equation of line in slope - intercept form
y = mx + c , where m is the slope and c is the y - intercept. This means that the slope of the line above is 3
Two lines are said to be perpendicular if the product of their slope = -1, that is , if 
is the slope of the first line and 
is the slope of the second line , if they are perpendicular , then = -1
Considering this rule , this means that the slope of the line we are to find = 
Using the formula : y - 
= m ( x - 
) to find the equation of the line , we have
y - (-1 ) = ( x - 5 )
y + 1 = ( x - 5 )
multiplying through by 3 , we have
3 ( y + 1 ) = -1 ( x - 5)
Expanding , we have
3y + 3 = -x + 5
writing the equation in standard form , we have
3y + x = 5 - 3
Therefore :
x + 3y = 2
I graphed it (and I hoped I did that correctly).
It doesn't seem as if it would have any specific name.
A savings account is an example of a Short-term investment
Real estate is an example of a Long-term investment
A U.S. savings bond is an example of a Long-term investment
A 401(k) account is an example of a Long-term investment
It is correct just answered it.
Since the question is asking how many pencils the teacher will have to give out, we can automatically ignore the 46 erasers from the problem because it is not relevant. The information was most likely put there to confuse you.
Each student is getting 28 pencils, so if we multiply the number of students by 28 pencils, we will find how many pencils the teacher will need to give out.
There are 42 children in the classroom, so multiply 42 by 28.
42 * 28 = 1,176
The teacher will have to give out <u>1,176 pencils</u> to her 42 children in the classroom.
Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = 
Standard deviation = 
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
At x = 65
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
