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MaRussiya [10]
3 years ago
8

Which of the following are roots of the following polynomial x^3-11x^2+33x+45

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0
For x^3-11x^2+33x+45 , we can make it an equation so <span>x^3-11x^2+33x+45=0. Next, we can find out if -1 or -3 is a factor. If -1 is a factor, than (x+1) is factorable. Using synthetic division, we get 

      x^2-12x+45
       ___ ________________________
x+1 | x^3-11x^2+33x+45

      - (x^3+x^2)
       _________________________
            -12x^2+33x+45
          - (-12x^2-12x)
          ______________
            45x+45
         -(45x+45)
___________
0


Since that works, it's either B or D. We just have to figure out when
</span> x^2-12x+45 equals 0, since there are 3 roots and we already found one. Using the quadratic formula, we end up getting (12+-sqrt(144-180))/2=
(12+-sqrt (-36))/2. Since sqrt(-36) is 6i, and 6i/2=3i, it's pretty clear that B is our answer
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1 year ago
If a football is thrown upward, its height above the
dybincka [34]

Answer:

a) s = -16t^{2} + 192t + 96

b) Height of the football after 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

Step-by-step explanation:

Given:

s = -16t^{2} + V_{o}t + s_{o}

where: s is the height of the football above the ground, t is the time, V_{o} is the initial velocity and s_{o} is the initial height.

The height of the building = V_{o} = 192 feet and the initial speed of the ball = s_{o} = 96 feet per second, then;

s = -16t^{2} + 192t + 96

a) The polynomial is given as:

s = -16t^{2} + 192t + 96

b) The height of the football when t = 2 seconds is;

s = -16(2) + 192(2) + 96

 = -32 + 384 + 96

 = -32 + 480

s = 448

The height of the football when t = 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

7 0
3 years ago
The ratio between the areas of two similar polygons is 3i4. What is the ratio between the lengths of their corresponding sides
JulsSmile [24]

Answer:

11

Step-by-step explanation:

5 0
3 years ago
Maranda praticed a total of 52 hours in 4 weeks to prepare for a piano recital. If she practiced the same number of hours each w
RUDIKE [14]

The number of practice hours per week for Maranda's piano recital is 13 hours

Overall practice hours = 52 hours

Number of weeks of practice = 4 weeks

Since, the number of practice hours per week is the same ;

Number of hours practiced each week can be obtained by dividing the overall practice hours by the number of weeks of practice.

Number of practice hours per week = Overall practice hours ÷ Number of weeks of practice

Number of practice hours = (52 ÷ 4) = 13 hours

Therefore, Marana practiced for 13 hours each week.

Learn more : brainly.com/question/18109354

3 0
2 years ago
The original price was $20,000 the sales price was $18,000 what is the percent discount
lord [1]

Answer:

10 percent :)

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 20000 × 10/100

Discount = 20000 x 0.1

You save = $2,000.00

Final Price = Original Price - Discount

Final Price = 20000 - 2000

Final Price = $18,000.00

i hope this helps! pls stay happy and healthy, friend! :))

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3 years ago
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