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2 years ago

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Mathematics

1 answer:

anygoal [31]2 years ago

5 0

The answer is f because if you find the average between 78 and 62 you get 70

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What are all of the real roots of the following polynomial? f(x) = x4 - 13x2 + 36

GREYUIT [131]

ANSWER

A. -3, -2, 2, and 3

EXPLANATION

The given polynomial function is,

$f(x) = {x}^{4} - 13 {x}^{2} + 36$

To find the real roots, we equate the function to zero to obtain;

${x}^{4} - 13 {x}^{2} + 36 = 0$

We can solve this equation as a quadratic equation in
${x}^{2}.$

Thus we rewrite the equation as,

$({x}^{2})^{2} - 13 {x}^{2} + 36 = 0$

We split the middle term to get,

$({x}^{2})^{2} - 9 {x}^{2} - 4 {x}^{2} + 36 = 0.$

We factor to get,

${x}^{2} ( {x}^{2} - 9) - 4( {x}^{2} - 9) = 0$

We factor to get,

$( {x}^{2} - 9)( {x}^{2} - 4) = 0$

Either

${x}^{2} - 9 = 0$
or

${x}^{2} - 4 = 0$

$x = \pm \sqrt{9} \: or \: x = \pm \sqrt{4}$
$x = \pm3 \: or \: x = \pm2$

$x=-3,-2,2,3$

The correct answer is A

5 0

3 years ago

Read 2 more answers

What is the image point of ( − 7 , 5 ) after a translation right 5 units and up 4 units?

Yuri [45]

Answer:

(-2,9)

Step-by-step explanation:

3 0

2 years ago

diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don

Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

$m\angle XYZ=90^{\circ}$

This gives

$m\angle YXZ\text{ + m}\angle YZX\text{ = 90}$

But

$\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}$

Substituting values we get

$\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}$

hence, x =12

3 0

1 year ago

Kisachek [45]

Answer:

4000g

Step-by-step explanation:

7 0

2 years ago

-A library currently has 125 audiobooks. The library plans to

Agata [3.3K]

Answer: 1 the 2 of 3 and 5a 5 to 6 in 8 is 9 be 9 that 9 was 10 he 11 for 11 it 14 with 15 ... 42 him 43 been 44 has 44 more 45 if 45 no 47 out 48 do 49 so 50 can 50 what ... right 143 might 146 came 146 off 147 find 148 states 149 since 149 used ... 1383 circle 1383 ought 1384 garden 1386 library 1390 accuse 1390

Step-by-step explanation:

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2 years ago