Write an equation of a line that passes through (3,-2) and (-1,6).
1 answer:
Answer:
-2x -y = -4
Step-by-step explanation:
the formula for calculating the equation of the line passing through two points is (look at the photo)
3 is x1, -2 is y1, -1 is x2 and 6 is y2
solve: x-3/-1-3 = y-(-2)/6-(-2)
x-3/-4 = y+2/8
transport the second fraction to the left of the equal, then it becomes negative:
x-3/-4 - y+2/8 = 0
do the mcm: -2(x-3)-(y+2) = 0
solve (minus in front of a parenthesis changes all signs inside it): -2x+6-y-2 = 0
-2x+4-y = 0
move the unknowns to the left of the equal:
-2x -y = -4
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Answer:
The x-axis
Step-by-step explanation:
The graph of the equation x=y2+4 is symmetric with respect to the x-axis.
To test for symmetry with respect to the x-axis we substitute -y in place of y and simplify the equation. If the resulting equation is identical to original one then the function is symmetric with respect to the x-axis;
which is identical to the original equation
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z= where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is =1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is = 0.5875
z-score for 100 g miraculin is = -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100