Answer:
slope = -3/4
using the formula
y -y1 = m(x -x1)
y -1 = -3/4(x -(-8))
y -1 = -3/4(x +8)
cross multiply
4(y -1) = -3(x +8)
4y -4 = -3x -24
4y = -3x -24 +4
4y = -3x -20
divide both sides by 4
y = -3/4 x -5 (equation of the line)
Y=(1/2)x^2 + 2x - 1
3x - y = 1, or y=3x-1
substitute
3x-1=(1/2)x^2+2x-1
0=(1/2)x^2-x
0=x(0.5x-1)
x=0,2
y=2+4-1=5
3(2)-1=5.
When x=2 y=5 (2,5) is one solution
when x=0, y=-1, (0,-1) is the other solution
Your answer would be 19/20 :)
Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Answer:
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