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2 years ago

After finishing his shift, a security guard wrote 6.75 under "hours worked" on his time card. how long did he work ?

Mathematics

1 answer:

Wewaii [24]2 years ago

5 0

He worked a total of 405 minutes. Hope this helps!

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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

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3 years ago

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Find the point-slope form of the equation of the line that passes through the given point and has the indicated slope. Point: (-

zzz [600]

Answer:

slope : 3

y + 3 = 3(x + 5)

y + 3 = 3x + 15

y = 3x + 12

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3 years ago

Explain and solve .<br>hhhhgghgfghhg

Aleks [24]

Answer:

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3 years ago

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erica [24]

Answer:

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Step-by-step explanation:

the ratio of her shadow to her height

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3 years ago

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Evaluate |2y-2| when y=-2

grandymaker [24]

Answer:

Step-by-step explanation:

|2y-2| when y = 2

= |2(-2)-2|

= |-4 - 2|

= |-6|

= 6.

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2 years ago