Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
Answer:
y = -7x + 10
Step-by-step explanation:
Using a point slope form equation
y - y1 = m( x - x1)
Given
Point = ( 1 , 3)
Slope = -7
Insert the values into
y - y1 = m(x - x1)
x1 = 1
y1 = 3
y - 3 = m( x - 1)
m = -7
y - 3 = -7(x - 1)
Using a slope intercept form equation
y = mx + c
Open the bracket
y - 3 = -7x + 7
y = -7x + 7 + 3
y = -7x + 10
The equation of the line is
y = -7x + 10
B is not proportional because it does not go thru the origin
Answer:
Total number of students receiving A grade = 75
Step-by-step explanation:
Total number of students enrolled in elementary algebra this year =300
Percentage of students receiving a grade of A = 25%
To find number of students that will receive a grade of A.
Solution:
In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.
Number of students receiving A grade = 
⇒ 
Writing 25% as fraction and multiplying.
⇒ 
⇒ 
⇒ 
∴ Total number of students receiving A grade = 75 (Answer)
Isn't that not possible? A pair would be two not three...