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amid [387]
3 years ago
8

Find all the complex zeros for the polynomial function. show work f(x)=x^3-7x^2+x-7

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

  ±i

Step-by-step explanation:

Observing that the first two coefficients are the same as the last two, we can factor this function by grouping.

  f(x) = (x^3 -7x^2) +(x -7) = x^2(x -7) +1(x -7)

  f(x) = (x^2 +1)(x -7)

The factor x-7 has a real zero at x=7, so the complex zeros come from the quadratic factor (x^2 +1).

Setting that to zero and solving for x, we find ...

  x^2 +1 = 0

  x^2 = -1

  x = ±√(-1) = ±i

The complex zeros are x = +i and x = -i.

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PLEASE HELP I WILL GIVE BRAINLIST PLEASE
ivolga24 [154]

Answer: D: 4.5

Step-by-step explanation:

So the Equation I used for this would be

6(2x+3) = 3(6x-3)

In Which the left is the Hexagon (The 6 is for the 6 Sides) and the right of the equation is the triangle (given the 3 for the 3 sides. In order to solve, we need to solve for x. Distribute the equation and your left with

12x+18=18x-9

-12x            +9

27=6x

Divide to get X by itself

and your left with

4.5 = x

Hope it helped.

3 0
3 years ago
A box contains 24 yellow, 33 green and 35 red jelly beans. If 8 jelly beans are selected at random, what is the probability that
tensa zangetsu [6.8K]

Answer:

0.00014

Step-by-step explanation:

The box contains a total of 24 + 33 + 35 = 92 jelly beans

If we need to pick 8 jelly beans and want them all to be green:

We can choose 8 green jelly beans from 33 green in  C₃₃,₈ different ways

The total ways we can choose 8 jelly beans out from 92 is: C₉₂,₈

Thus, the probability we're looking for is C₃₃,₈ / C₉₂,₈ = 13884156/93080887185 =0.00014

8 0
3 years ago
A huge ice cream sundae is made for a charity. It contains about 6,900 pounds of topping. The topping flavors are chocolate, but
Dennis_Churaev [7]

Answer:

7500 pounds of toppings

Step-by-step explanation:

6,900 + 600=

3 0
3 years ago
Three people who work full-time are to work together on a project, but their total time on the project is to be equivalent to th
uranmaximum [27]

Answer:

  1/6

Step-by-step explanation:

Let x represent the proportion of time the third person spends on the project. You want ...

  1/2 + 1/3 + x = 1 . . . . full-time equivalents

  5/6 + x = 1 . . . . simplify

  x = 1/6 . . . . . . . subtract 5/6

The third person should budget 1/6 of their time to the project.

7 0
3 years ago
Using the dimensions of a new scale drawing created using a scale factor of 0.15, find the dimensions of the original rectangle.
adoni [48]

Answer:

Width: 15.8 ft

Length: 32ft

Step-by-step explanation:

4 0
3 years ago
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