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Vika [28.1K]
3 years ago
6

Vertex of f(x) = 1/2(x-2)^2-3

Mathematics
1 answer:
AlekseyPX3 years ago
3 0
Vertex is (2,-3). H (which is 2) sign is always opposite and k stays the same
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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5
Sunny_sXe [5.5K]

Answer:

\frac{27}{8}m^3 or 3.375m^3

Step-by-step explanation:

The formula for volume is Base * Height * Width; and the formula for area is Base * Height.

This problem mentions the structure is a cube and therefore it is assumed that every wall has the same area. Since there are 6 sides to a cube you divide the total amount of ft which make up this cube to know the area to each wall.

13.5 m/6 = 2.25 or \frac{9}{4} m per wall

With the area of each wall you can find the base and height:

base * height =  area

b=\sqrt{\frac{9}{4} } = \frac{3}{2}

base = \frac{3}{2}m

height = \frac{3}{2}m

since: base=height=width, the width also equals \frac{3}{2}m

volume = (\frac{3}{2})^3= \frac{27}{8}

sorry it took so long for you to get an answer

8 0
4 years ago
Solve & Discuss It!
agasfer [191]

Answer:

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

Step-by-step explanation:

After reviewing the information given for solving the question, we notice that the ratio of adults in relation with the number of children at the beach is 4:3. In that case, for finding the number of children for every specific number of adults, we do the following calculations:

1. For 8 adults: 8/4 = 2 and using the ratio 4:3, we multiply by 2 and we get that the number of children is 6.

2.  For 12 adults: 12/4 = 3 and using the ratio 4:3, we multiply by 3 and we get that the number of children is 9.

3.  For 16 adults: 16/4 = 4 and using the ratio 4:3, we multiply by 4 and we get that the number of children is 12.

4.  For 20 adults: 20/4 = 5 and using the ratio 4:3, we multiply by 5 and we get that the number of children is 15.

<u>There were 6, 9, 12 and 15 children if the number of adults at the beach were 8, 12, 16 and 20.</u>

7 0
3 years ago
Write the coordinate of the vertices after a translation 8 units left and 13 units down. S(0,10). T(8,10) U(1,5)
Paha777 [63]

Answer:

S(-8,-3), T(0, -3), and U(-7, -8)

Step-by-step explanation:

for all of the coordinates, you would subtract 8 from their X-values, and subtract 13 from their Y-values.

6 0
3 years ago
Roberta makes $9 an hour plus a 12.5% commission selling jewelry. How much does she
rjkz [21]

Answer:

404.5 dollars

Step-by-step explanation:

8x9+(0.875x380)=404.5

4 0
3 years ago
Combine like terms to write an equivalent expression for 4y to the power of 2 + 6x - 2y to the power of 2 + 12x
Triss [41]
I think it is 2 y ^ 2 + 1 8 x
8 0
3 years ago
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