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Anestetic [448]
2 years ago
8

Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75

Mathematics
1 answer:
tatiyna2 years ago
5 0

Step-by-step explanation:

3.5(1.6 + 4.6  - 8.5) - 9.75

5.6 + 16.1 - 29.75 - 9.75

21.7  - 39.5

- 17.8

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Find a third-degree polynomial function with real coefficients and with zeros at -4 and -3 5i
Charra [1.4K]

If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us x^2+3x+15ix+3x+9+15i-15ix-15i-25i^2. If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to x^2+6x-25i^2. Since i^2 = -1, it simplifies further to x^2+6x-25(-1) and finally, to x^2+6x+25. Now we will FOIL in x+4. (x^2+6x+25)(x+4)=x^3+6x^2+25x+4x^2+24x+100. Our final simplified third degree polynomial is x^3+10x^2+49x+100

3 0
3 years ago
EDIT// answer below thank for the help -.-
HACTEHA [7]

Step-by-step explanation:

Move it it up 4 and then find your x intercepts.

Find the x intercepts.

-x^2 + 4 = 0

<u>Move the 4 over to the right</u>

-x^2 = -4

<u>Divide out the - </u>

\frac{-x^2}{-} = \frac{-4}{-}

x^2 = 4

<u>Take the square root of each side</u>

\sqrt{x^2} = \pm \sqrt{4}

x = \pm \sqrt 2

Our x intercepts are at (-2,0) (2,0)

8 0
3 years ago
One year, the population of a city was 64,000. Several years later it was 53,120. Find the percent decrease.
ohaa [14]

Answer:

17% i think

Step-by-step explanation:

4 0
2 years ago
Please help I don't know the median give an answer and explanation
morpeh [17]

Answer:

Median is the middle of the data set. For example this data set is 4, 6, 7, 9, 10. First you take out 4 and 10. The you take out 6 and 9 to get a median of 7. But if there is an even amount of numbers like in this data set, 1, 2, 4, 5. Then you take out 1 and 5 and then find the middle point in between 2 and 4 which is 3.

5 0
2 years ago
What is the product ?
rjkz [21]

Answer:

Step-by-step explanation:

[4   2] *  -2   5               = [ 4*-2 + 2*7       4*5+2*-1]

             7     -1

         

        = [-8+14        20-2]

        = [6    18]

             

6 0
3 years ago
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