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ella [17]
3 years ago
15

Reposting this because I’d prefer more than one answer, please respond with the “Sample Response” if possible!!

Mathematics
1 answer:
Anon25 [30]3 years ago
7 0

Answer:

Sample Response

Step-by-step explanation:

He is incorrect because if you substitute x for 37 you will get the equation 8×37+200. 8×37=296 +200= 496. Since it is not greater or equal to 500 the inequality is not true.

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Find all real zeros of 4x^3-20x+16
Pani-rosa [81]

Answer:

  {1, (-1±√17)/2}

Step-by-step explanation:

There are formulas for the real and/or complex roots of a cubic, but they are so complicated that they are rarely used. Instead, various other strategies are employed. My favorite is the simplest--let a graphing calculator show you the zeros.

___

Descartes observed that the sign changes in the coefficients can tell you the number of real roots. This expression has two sign changes (+-+), so has 0 or 2 positive real roots. If the odd-degree terms have their signs changed, there is only one sign change (-++), so one negative real root.

It can also be informative to add the coefficients in both cases--as is, and with the odd-degree term signs changed. Here, the sum is zero in the first case, so we know immediately that x=1 is a zero of the expression. That is sufficient to help us reduce the problem to finding the zeros of the remaining quadratic factor.

__

Using synthetic division (or polynomial long division) to factor out x-1 (after removing the common factor of 4), we find the remaining quadratic factor to be x²+x-4.

The zeros of this quadratic factor can be found using the quadratic formula:

  a=1, b=1, c=-4

  x = (-b±√(b²-4ac))/(2a) = (-1±√1+16)/2

  x = (-1 ±√17)2

The zeros are 1 and (-1±√17)/2.

_____

The graph shows the zeros of the expression. It also shows the quadratic after dividing out the factor (x-1). The vertex of that quadratic can be used to find the remaining solutions exactly: -0.5 ± √4.25.

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The given expression factors as ...

  4(x -1)(x² +x -4)

5 0
3 years ago
Read 2 more answers
PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS
hram777 [196]

Answer:

-2, 9

Step-by-step explanation:

8 0
2 years ago
What is the length of the side opposite D?
Kamila [148]

Answer:

5 units

sin(D)= 5/13

Step-by-step explanation:

i just did the question

6 0
3 years ago
D. During a promotional weekend, a state fair gives a free admission to every
Marina86 [1]

Answer:

69 people got in free over the 2 days

Step-by-step explanation:

6742/175=38

5487/175=31

31+38=69

6 0
3 years ago
Does anyone understand this?
Vinil7 [7]
The second one would be true
Hope this helped.
6 0
3 years ago
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