Answer:
y = 
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 2 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
=
The line crosses the y- axis at (0, 1) ⇒ c = 1 , then
y = x + 1 ← equation of perpendicular line
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
Answer:
94
Step-by-step explanation:
Average = Total / Number of Data
You have a total of 280 points after 4 quizzes.
4+4=8 quizzes in total
Total you need for average to be 82
Number of points you need to hit required:
You need 376 points in total for the next 4 quizzes.
You need an average of 94 points on the next 4 quizzes.
Bring the 3 to the other side, which makes 11-3 = 8
divide the whole equation by 2, which makes it Root (3x/5) = 8/2
square the whole equation which gives
, 3x/5 = 16
Multiply the equation by 5 which makes it, 3x = 80
finally divide the equation to find x, x= 80/3
