Answer:
Step-by-step explanation:
Is "32+6 y = 3 2 x + 6" written correctly? I'll assume y=32x+6 is the corerect equation. If 32+6 y = 3 2 x + 6 is correct, reduce it to:
6y = 32x-26
y = (16/3)x - 4.5 and follow the same steps
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An equation perpendicular to y=32x+6 will have a slope that is the negative inverse to the reference line slope, in this case 32. The negative inverse of 32 is -(1/32).
The perpendicular line will be y = -(1/32)x+b.
To find a value for b, use the given point (-12, 15) and solve for b:
y = -(1/32)x+b
15 = -(1/32)*(-12)+b
b = 15- (12/32)
b = 14.625
y=-(1/32)x+14.625
Answer:
Step-by-step explanation:
<u>Piecewise Function</u>
The given function has a point where its behavior changes. At the left side of x=3 the function is
While at the right side the function is
We need to find the range of h, i.e. the values h takes when x moves along its domain. Let's analyze what values takes h when x decreases without limit.
When x=3
When x increses without limit
As shown, the values of h run from to 5, i.e.
Or, equivalently
2 1/2 bags of potatoes would weigh 14 3/8 pounds