
Multiplication by 10ⁿ → move decimal n places to the right.
Multiplication by 10⁻ⁿ → move decimal n places to the left.
For n ∈ N
Answer:
Graph Y
Step-by-step explanation:
<u>Given information</u>:
- Initial production cost = $1,050
- Lowest production cost = $250 for 200 items
- Production cost increases after 200 items.
- The x-axis shows number of items in <u>hundreds</u>.
- The y-axis shows the cost in dollars.
The initial production cost is when the number of items is zero.
Therefore, the y-intercept of the graph will be (0, 1050).
The lowest production cost is the <u>minimum point</u> of the curve.
Therefore, the vertex of the graph will be (2, 250).
The only graph that satisfies these conditions is graph Y (attached).
Learn more about parabolas here:
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Answer:
m is -12/7 and b is -64/7
Step-by-step explanation:
Use rise over run (change in y / change in x) to find the slope, m:
(-4 - 8) / (-3 + 10)
= -12/7
So, m is -12/7.
Plug in this value and a point into y = mx + b, then solve for b:
y = mx + b
-4 = -12/7(-3) + b
-4 = 36/7 + b
-64/7 = b
So, m is -12/7 and b is -64/7
You would get that X equals 3w over 7 + y over 7<span />