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Snowcat [4.5K]
2 years ago
5

How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots

Mathematics
1 answer:
AnnyKZ [126]2 years ago
7 0

Answer:

Step-by-step explanation:

Rewrite this quadratic in standard form:  3x^2 + 7x - 1.

The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or

7^2 - 4(3)(-1), or 49 + 12, or 61.  Because the discriminant is positive, this quadratic has two real, unequal roots

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Answer:

2/10 * 20 = 4.

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2 years ago
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Select from the following choices those graphs that represent only a dilation applied to this polygon with a scale factor great
romanna [79]

Answer:

B and C

Step-by-step explanation:

Required

Select graphs that are dilated by a scale factor greater than 1

For graph A:

Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1

For graph B:

Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph C:

Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph D:

Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).

<em>Hence, b and c is true</em>

5 0
3 years ago
Six distinct integers are picked from the set {1, 2, 3,…, 10}. How many selections are there, in which the second smallest integ
Ksivusya [100]

Answer:

1680 ways

Step-by-step explanation:

Total number of integers = 10

Number of integers to be selected = 6

Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.

<u>2 ways</u>   <u>1 way</u>  <u>       </u>  <u>        </u>  <u>        </u>  <u>        </u>

Each of the line represent the digit in the integer.

After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840

Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways

Therefore, there are 1680 ways to pick six distinct integers.

6 0
3 years ago
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diamong [38]

Answer:

ab+xy−5

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yx+ab−5  = xy+ab+−5

Simplify-

ab+xy−5

6 0
2 years ago
Help me out please!!
AleksAgata [21]

Step-by-step explanation:

1. (fg)' = f'g + fg' (chain rule)

2 f(x) = x^5\sin{x}

\Rightarrow f'(x) = 5x^4\sin{x} + x^5\cos{x}

5 0
2 years ago
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