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3 years ago

Factor the polynomial function over the complex numbers. f(x)=x4+3x2−4

2 answers:

7 0

Insert a number into f (x) so f (x) = 0.

After trial and error I got × = -1 giving one factor of (x +1).

You can use the binomial division to get the other factors (divide your equation by (×+1).

I did this to get x^3-x^2+4x.

Ilya [14]3 years ago

5 0

The answer you are looking for is (x+1)(x−1)(x+2i)(x−2i)

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Moneysaver's Bank offers a savings account that 7interest compounded continuouslyIf Donna deposits 2200, how much will she have

OverLord2011 [107]

For an initial amount deposited P and an annual interest rate r, the total amount T in the account after t years is given by:

$T=P(1+r)^t$

For P = $2200, r = 7% and t = 5 years, we have:

$\begin{gathered} T=2200(1+0.07)^5 \\ T=\text{ \$3,085.61} \end{gathered}$

3 0

1 year ago

Is the relationship between the 7s in 7,742 and the 7s in 7,785 different in eanyway why or why not

alex41 [277]

No because they are both in the hundreds place which means they are worth the same amount!

8 0

3 years ago

Read 2 more answers

Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=

vodka [1.7K]

Answer:

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

Step-by-step explanation:

From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:

1) $x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0$ Given

2) $(x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

3) $(x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.

4) $(x+4)^{2}+(y+1)^{2} = 4900$ Square perfect trinomial/Result

According the result, the center of Earth is $C(x,y) = (4, 1)$ and the square of the radius of Earth equals 4900. That is: $r = 70$

If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:

$(x+4)^{2}+(y+1)^{2}=70.4^{2}$

$(x+4)^{2}+(y+1)^{2} = 4956.16$

Now we transform this into its general form:

1) $(x+4)^{2}+(y+1)^{2} = 4956.16$ Given

2) $x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16$ Square perfect trinomial

3) $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result

The general form of the equation for the orbit of the satellite is $x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16$ .

6 0

4 years ago

Solve the given equation find q

yawa3891 [41]

5/q-6. = 6/q-5
5(q-5) = 6(q-6)
5q-25=6q-36
5q-6q=25-36
-Q=-11
q=11

3 0

3 years ago

the total cost of 2 kg of Apples in 6 of oranges is rupees 570 if the cost of 3 kg of apples is the same as the cost of 5 kg of

HACTEHA [7]

Answer:

Cost of 1 kg apple = a = RS 102 (Approx.)

Cost of 1 kg orange = b = RS 61 (Approx.)

Step-by-step explanation:

Assume;

Cost of 1 kg apple = a

Cost of 1 kg orange = b

So,

2a + 6b = 570 ....... Eq1

and

3a = 5b..........Eq2

From eq 2

3a = 5b

a = 5b / 3

So,

2a + 6b = 570

2(5b/3) + 6b = 570

b = 61.07

Cost of 1 kg orange = b = RS 61 (Approx.)

a = 5b / 3

a = 5(61) / 3

Cost of 1 kg apple = a = RS 102 (Approx.)

7 0

3 years ago