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Mariulka [41]
3 years ago
12

Divide (x^3-20x+16)/(x-4)

Mathematics
2 answers:
Lorico [155]3 years ago
8 0
\frac{( x^{3}-20x+16) }{(x-4)}

Use the rational root theorem:
a_{o}=16, a_{n}=1

The dividers of a_{o}: 1,2,4,8,16 
The dividers of a_{n}: 1

Therefore, check the following rational numbers: +-\frac{1,2,4,8,16}{1}

\frac{4}{1} is a root of the expression, so factor out x-4

Compute \frac{ x^{3}-20x+16 }{x-4} to get the rest of the equation.

\frac{(x-4)( x^{2} +4x-4)}{x-4}

Cancel the common factor:
x^{2}+4x-4 is the final answer
tankabanditka [31]3 years ago
5 0

Answer 1 d 2b 3b 4 a

Step-by-step explanation:

Dividing polynomials quick check goodluck 2019

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Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
1 year ago
Solve the equation and graph the solution:<br><br>24 + 6k &lt; -6(-4-k) <br>​
34kurt

Answer:

no solution

Step-by-step explanation:

24 + 6k < -6(-4-k)

Distribute

24+6k< 24 +6k

Subtract 6k from each side

24 < 24

This is never true so there are no solutions

7 0
3 years ago
If EF = 6 and EG = 21, find the value of FG. The drawing is not to scale.
insens350 [35]

EF = 6

EG = 21

You would subtract EF from EG to find FG:

21 - 6 = 15.

The answer is B.) 15

7 0
3 years ago
Equation of a line through (-1,-10) which is parallel to the line y=4x+3 has (need the slope and y intercept ) please help
valina [46]
Parallel lines have the same slope but different y intercepts

Slope: 4
y=4x+b
this is the new equation, plug in the point
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Answer:

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Step-by-step explanation:

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