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Svetradugi [14.3K]
3 years ago
15

Multiply and simplify. (5 - 3i)(6 + 2i)

Mathematics
2 answers:
AleksandrR [38]3 years ago
3 0
36-8i is the answer.
rosijanka [135]3 years ago
3 0
This is simple distribution where you multiply the numbers without the variables and then multiply the variabes together, your answer would then===30-6i
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What are the possible rational roots of the polynomial equation?<br><br> 0=2x7+3x5−9x2+6
RoseWind [281]

Answer: \pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0

Where:

- The coefficients are integers.

- a_n is the leading coeffcient (a_n\neq 0)

- a_0 is the constant term a_0\neq 0

Every rational root of the polynomial is in the form:

\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}

For the case of the given polynomial:

2x^7+3x^5-9x^2+6=0

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}

5 0
3 years ago
Find the HCF of 960 and 432​
sdas [7]

Answer:

48

Step-by-step explanation:

Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:

Here, 960 is greater and 432 is smaller. We divide 960 by 432.

STEP 1:

960 = 432*2 + 96

STEP 2:

Divide divisor (432) by remainder (96)

432 = 96 * 4 + 48

STEP 3:

Divide divisor (96) by remainder (48)

96 = 48 * 2 + 0

Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.

Thus, HCF of 960 and 432 is 48

4 0
2 years ago
An engineer's compensation package includes the total cost of a $175-per-month health insurance plan, the total cost of a $55-pe
never [62]
55000+175(12)+55(12)
55000+2100+6607
57760

The answer is A.
3 0
3 years ago
17 20 13 5 30 13 6 15 median
fiasKO [112]
The median is 14.......

5 0
3 years ago
A Home is purchased For $420,000 with a 6% down payment find the monthly payment if the mortgage is 7.5% for 30 years
olya-2409 [2.1K]

Answer:

22.50

Step-by-step explanation:

0.75 x 30 years of mortgage

4 0
3 years ago
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