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Varvara68 [4.7K]
3 years ago
7

i have been struggling for this work that has been assigned to me at the first day of school after a long time.

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

Fill the gaps in this sequence:

25 36 <u>49</u> 64 81 <u>100</u>

This sequence is the numbers 5, 6, 7, 8, 9, and 10 squared.

Work out the cube root of 343, then square it.

<u>49</u>

Since 7 cubed equals 343, then 7 squared is 49.

When you subtract one square number from another the answer is 7.

What are the two square numbers?

<u>16</u> and <u>9</u>

These are the only squares that fit the criteria.

Write down a number you can square to give an answer bigger than 200 but smaller than 300.

<u>15, 16, 17</u>

All of those answers work. 15² is 225, 16² is 256, and 17² is 289. You can choose any of them to enter in and it should work.

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A banner is hung for a party. The
rewona [7]

Answer:

  • 8.5 feet

Explanation:

The function that can determine the distance from a point on the bottom edge of the banner to the floor is:

f(x)=0.25x^2-x+9.5

That function is a quadratic function which means that it is a parabola. Given that the coefficient of the quadratic term (0.25) is positive, the parabola open upwards, and the vertex is the lowest point of the parabola and it represents how high above the floor is the lowest point on the bottom edge of the banner.

So, you need to find the vertex of the parabola.

I will complete squares to find the form A(x -h)² + k, where h and k are the coordinates of the vertex (h, k).

f(x)=0.25x^2-x+9.5\\ \\ 4(f(x))=4(0.25x^2-x+9.5)\\ \\ 4f(x)=x^2-4x+38\\ \\ 4f(x)-38=x^2-4x\\ \\ 4f(x)-38+4=x^2-4x+4\\ \\ 4f(x)-34=(x-2)^2\\ \\ 4f(x)=(x-2)^2+34\\ \\ f(x)=(1/4)(x-2)^2+8.5

Hence, the vertex (h,k) is (2, 8.5), meaning that the lowest point on the bottom edge of the banner is at 2 feet from the left edge of the banner and 8.5 feet above the floor.

3 0
2 years ago
How do you write cos, tan, and sec in terms of csc?
olga nikolaevna [1]
Prolly not the best person to answer this question lol
4 0
3 years ago
Read 2 more answers
⭐️ help would be appreciated
serg [7]
Hey there :)

f (x) = 5x² - 2x
g (x) = 3x² + x - 4

( f + g )( x ) is f ( x ) + g ( x )

5x² - 2x + 3x² + x - 4
Combine like-terms
5x² + 3x² - 2x + x - 4
8x² - x - 4

Your option will be the third option

5 0
3 years ago
The Length of the side of the square A is twice the length of side of the square B. What is the ratio of the area square A to th
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Answer:

1:2

Step-by-step explanation:

if the one side is twice the length that means that you need two of them to make the one thus the ratio 1 to 2

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3 years ago
Which of these statements is true
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Answer:

B:  The y-intercept is (0,2).

Step-by-step explanation:

See attached graph.

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1 year ago
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