3x+7+10x+17=180
13x+24=180
Subtract 24 from both sides
156/13
x= 12
If Z is the centroid of ABC , AZ = 2/3 AY and ZY = 1/3 AY
which means that: ZY = 1/2 AZ = 1/2 x 12 = 6
Answer: A ) 6
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:
c. 
d. 
Step-by-step explanation:
For this exercise you need to remember the following:
1. The multiplication of signs:

2. The Product of powers property, which states that:

3. The Distributive property:

Knowing that, you can solve the multiplication of the polynomials:
c. 
d. 