Answer:
-3a^3 + 2a.
Step-by-step explanation:
21a3 − 14a / -7
= 21a^3 / -7 - 14a / -7
= -3a^3 + 2a.
You can take it apart. There are a top and bottom (both the same) right triangle. So you can find the area of that by multiplying 8*6 and divide by two. Then multiply by two because there are 2 triangles.
You are left with three rectangular sides: One 10x10, one 10x6, and one 10x8.
So your whole equation looks like this: A = 2[(8*6)/2]+(10*10)+(10*6)+(10*8)
Answer:
1. 
2. 
3. 1:3
4. 3:4
5. 10,000 pounds
6. 36 in
Step-by-step explanation:
1. What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?
The area of the triangle can be calculated using formula
Given:
Base 
Height 
Hence,
2. What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?
The area of the parallelogram can be calculated using formula
Given:
Base 
Height 
Hence,
3. The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms of grilled chicken salads sold to the total number of lunches sold?
Cafeteria sold:
- 200 grilled cheese sandwiches;
- 100 tacos;
- 150 grilled chicken salads;
- 200 + 100 + 150 = 450 lunches in total.
The ratio of grilled chicken salads sold to the total number of lunches sold is
In simpliest form
4. What is the ratio of odd to even digits in the following number: 7,208,631?
There are
- even digits 2, 0, 8, 6 - 4 digits;
- odd digits 7, 3, 1 - 3 digits.
The ratio of odd to even digits is
5. 1 ton = 2,000 pounds
5 tons 
6. 1 feet = 12 inches
Answers:
x intercepts are -10 and 50
the y intercept is 5000
The axis of symmetry is x = 20
The vertex is (20, 9000)
The interval of increase is -infinity < x < 20
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Explanations
The x intercepts are where the graph crosses or touches the x axis. In this case, the locations -10 and 50 are where this happens. The y intercept is 5000 as the graph crosses the y axis at this location.
The axis of symmetry is x = 20 because this vertical line cuts the parabola into two mirror halves; one half reflects over the vertical line to line up with the other half.
The x coordinate of the vertex is always equal to the axis of symmetry. The y coordinate of the vertex is y = 9000 and it is the largest y value possible. The vertex is at (20, 9000)
The interval of increase is the portion of the graph that goes uphill as you read from left to right. This is the interval -infinity < x < 20. Basically we stop at the axis of symmetry because after this point, the graph goes downhill and we have a decreasing interval here.
