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MA_775_DIABLO [31]

3 years ago

14

An object is moving at a speed of 470 centimeters every 3 hours. Express this speed in inches per minute. Round the answer to th

e nearest hundredth

1 answer:

Ksju [112]3 years ago

8 0

Answer:

1.03 inches per minute

Step-by-step explanation:

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In Problems 23–30, use the given zero to find the remaining zeros of each function

Talja [164]

Answer:

x = 2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

$f(x) = x^3 - 4x^2+ 4x - 16$

One of the zeroes of the above polynomial is 2i, that is :

$f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0$

Thus, we can write

$(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Now, we check if -2i is a root of the given polynomial:

$f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0$

Thus, we can write

$(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Therefore,

$(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

Dividing the given polynomial:

$\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4$

Thus,

$(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16$

X = 4 is a root of the given polynomial.

$f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0$

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0

3 years ago

Betty took a doll she inherited from her grandmother to the antique store. The dolls original price tag says $6.80. The antique

mariarad [96]

There was a 12.35% increase in the price.

5 0

3 years ago

a light flashes every 2 minutes, a second light flashes every 3.5 minutes and a third light flashes every 4 minutes. if all thre

scoray [572]

Take the LCM of the three numbers. Since 2 is a multiple of 4, you can ignore the two and just take the LCM of 4 and 3.5. Since 3.5 is a decimal, the LCM is just 3.5*4 which is 14. That is how many minutes after 8:00 they will flash together again.<span />

4 0

3 years ago

What is 64×34+8-3? Solve.

borishaifa [10]

The answer is 2,181 because 64x34=2176+8=2184-3=2181

6 0

3 years ago

For every 3 presents lisa wrapped, helen wrapped 5. if they wrapped a total of 184 how many did each wrap. ( how did you get the

igor_vitrenko [27]

3 : 5.....thats ur ratio...added = 8...so basically, Lisa wrapped 3 out of 8 (or 3/8) and Helen wrapped 5 out of 8 (or 5/8)

3/8(184) = 552/8 = 69 : Lisa wrapped 69
5/8(184) = 920/8 = 115 : Helen wrapped 115

6 0

3 years ago