Answer:
x = -1/5y + 3/5
Step-by-step explanation:
y = 3 - 5x
Subtract 3 from both sides;
y - 3 = -5x
Divide both sides by -5
-1/5y + 3/5 = x
Answer:
17
Step-by-step explanation:
AC = AB + BC
Since we know what each variable equals, we can write out the equation as shown:
47 = 5x + 3x - 1
Combining like terms:
47 = 8x - 1
Add 1 on both sides:
48 = 8x
Divide 8 on both sides:
X = 6
Now that we know what X equals, we can solve BC.
BC = 3(6) - 1
BC = 18 - 1
BC = 17
Therefore BC = 17.
Let 
. The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by 
, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or 
, 
, and 
.
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
20+5=25 then 25-4.67=20.33 so then you do 20.33/4.5=4.5 so the cost for one pound of fruit is $4.57. Hope this helps :)
Answer:
y = (2 - 7) / (6 - (-9)) * (x - (-9)) + 7
y = -5 / (6 + 9) * (x + 9) + 7
y = -5 / 15 * (x + 9) + 7
y = -1/3 * (x + 9) + 7
y = -1/3 * x - 3 + 7
y = -1/3 * x + 4
