Which equation could be used to solve the question below?

Find the polynomial equation of least degree with roots -1, 3, and (+/-)3i

jasenka [17]

Each of these roots can be expressed as a binomial:

(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree

Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9 [since i²=-1]

Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:

(x²+9)(x²-2x-3) [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]

x^4 -2x³-3x²
 +9x²-18x-27
x^4-2x³+6x²-18x-27

7 0

3 years ago

7 people will equally split 258.2 acres of land. To the nearest tenth of an acre, how much land will each person get

Dennis_Churaev [7]

Answer:

Each person will get 36.9 acres of land.

Step-by-step explanation:

Given that:

Total land = 258.2 acres

7 people will equally split the land between them, therefore, we will divide the total land by total number of people to calculate the share of each person.

Share of each person = $\frac{258.2}{7}$

Share of each person = 36.88 acres

Rounding to the nearest tenth,

Share of each person = 36.9 acres

Hence,

Each person will get 36.9 acres of land.

6 0

3 years ago

A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of

LenaWriter [7]

The fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

We assume the drop in the level of water to be d cm.

Since the container is cylindrical in shape, its volume is given as:

V = πr²h, where V is the volume, r is the radius, and h is the height.

In the question, we are given that the diameter of the can is 30 cm.

Hence its radius = 30/2 = 15 cm.

The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.

The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.

Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:

1000 = π(15)²(d),

or, d = 1000/(225π) = 1.4147.

Thus, the fall in the water level is 1.4147 cm.

Therefore, the fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.

Learn more about the volumes of cylinders at

brainly.com/question/9554871

#SPJ4

4 0

2 years ago

What is the area of parallelogram ABCD?

boyakko [2]

You cannot find the area of parallelogram ABCD without providing information or any numbers of units. It is therefore impossible to solve without further information or an image.

4 0

3 years ago

Help me with #4

Sladkaya [172]

Step-by-step explanation:

a. lim(x→2) [g(x) + h(x)]

Use additive property of limits.

= lim(x→2) g(x) + lim(x→2) h(x)

= 0 + 5

= 5

b. lim(x→2) [3 h(x)]

Use multiplication property of limits.

= [lim(x→2) 3] [lim(x→2) h(x)]

= 3 lim(x→2) h(x)

= 3 (5)

= 15

c. lim(x→2) [g(x) h(x)]

Use multiplication property of limits.

= [lim(x→2) g(x)] [lim(x→2) h(x)]

= (0) (5)

= 0

6 0

3 years ago