Answer:
Step-by-step explanation:
let sum of zeros=s
and product of zeros=p
then quadratic equation is x²-sx+p=0
x²-(-1/2)x+(-3)=0
x²+1/2 x-3=0
2x²+x-6=0
Given:
width of bookshelf no greater than 6 1/2 feet
purchased bookshelf that is 77 inches wide
We need to find the equivalent value in feet of the purchased bookshelf.
1 foot is equal to 12 inches
77 inches * 1 foot/12 inches = 77 ft/12 = 6 5/6 ft
Or we can convert the feet into inches:
6 1/2 feet convert to improper fraction.
((6*2)+1)/2 = 13/2 feet
13/2 ft * 12 inches/1ft = (13 * 12)/2 = 156/2 = 78 inches
Compare the maximum width of 78 inches to the actual width of 77 inches.
The purchased bookshelf can fit between two windows.
12 because the rest of the numbers are all similar except 12
Answer:
K = -2J + 24
Step-by-step explanation:
Find two point of the line
(12,0) ; (10,4)
Use this equation:
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-0)/(4-0) = (x-12)/(10-12)
y/4 = (x-12)/(-2)
y/4 = (-x+12)/2
y = -2x + 24
Ok
2x + y - z = 7
-2y +3z = -15
x + 2y - 5z = 17
combine 2nd 3rd
x - 2z = 2
x = 2z + 2
double first statement
4x + 2y - 2z = 14
combine with second statement
4x + z = -1
substitute 2z + 2 for x
8z + 8 + z = -1
combine like terms
9z + 8 = -1
sub 8 from both sides
9z = -9
divide both sides by 9
z = -1
substitute -1 for z in second statement
-2y - 3 = -15
add 3 to both sides
-2y = -12
divide both sides by -2
y = 6
substitute -1 for z into the fifth statement
x = -2 + 2
x = 0
