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4 years ago

I need help on trying to solve this i’m stuck

Mathematics

2 answers:

NemiM [27]4 years ago

6 0

Answer:

none of the above

Step-by-step explanation:

Nookie1986 [14]4 years ago

3 0

None of the above now ur not stuck

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Find the polynomial of minimum degree, with real coefficients, zeros at x=4±2⋅i and x=−8, and y-intercept at −480. Write your an

valkas [14]

Answer:

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

Step-by-step explanation:

According to the statement, we appreciate that polynomial pass through the following points:

(i) $(4 + 2\,i,0)$ , (ii) $(4 - 2\,i, 0)$ , (iii) $(-8, 0)$ , (iv) $(0, -480)$

From Algebra we know that any n-th grade polynomial can be constructed by knowing n+1 different points. Hence, the polynomial of minimum degree is a quartic function. The polynomial has the following form:

$p(x) = (x-4-2\,i)\cdot (x-4+2\,i)\cdot (x+8)\cdot (x-r_{1})$

We proceed to expand the expression until standard form is obtained:

$p(x) = (x^{2}-4\cdot x-2\,i\cdot x-4\cdot x +16+8\,i+2\,i\cdot x-8\,i+4)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{2}-8\cdot x+20)\cdot (x+8)\cdot (x-r_{1})$

$p(x) = (x^{3}-8\cdot x^{2}+20\cdot x +8\cdot x^{2}-64\cdot x+160)\cdot (x-r_{1})$

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-r_{1})$

If we know that $p (0) = -480$ , then:

$-480=160\cdot (-r_{1})$

$-160\cdot r_{1} = -480$

$r_{1} = 3$

Then, the polynomial is:

$p(x) = (x^{3}-44\cdot x +160)\cdot (x-3)$

$p(x) = x^{4}-44\cdot x^{2}+160\cdot x-3\cdot x^{3}+132\cdot x -480$

$p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$

The polynomial of minimum degree is $p(x) = x^{4}-3\cdot x^{3}-44\cdot x^{2}+292\cdot x-480$ .

5 0

3 years ago

In a bucket there are 4 balls - one each of red, blue, green and yellow. You must choose one at random. What are the odds you wi

valkas [14]

Answer: p(getting a green ball) = 3/4

Step-by-step explanation:

There are 4 balls out of which one is green and 3 more colours so there is a possibility of 3 out of 4 balls

3 0

3 years ago

For the right triangle shown, which expression represents the length of CB?

Rudik [331]

Answer:

B) 6 tan(35°)

Step-by-step explanation:

from the right angle tan° = opposite / adjacent

therefore tan (35°) = (x) / 6

by multiplying 6 to both sides

tan (35°) * 6 = (x) / 6 * 6

therefore (x) = 6 tan (35°)

5 0

3 years ago

Alan needs to drive 400 miles to reach Madison. He is driving at a constant speed of 55 miles per hour. The function y = 400 − 5

lord [1]

Question is not written properly but i think you are looking for the table of given equation y=400-55x. So I will explain about how to get that.

number of hours can't be negative so that means x must be 0 or more.

like x=0,1,2,3,...

we just have to plug these x-values into above equation to find the y-value in order to calculate table.

I will show you calculation for x=2

y=400-55x=400-55*2=400-110=290

so the point in table will be (2,290)

similarly we can find more point and get final table as shown below:

7 0

4 years ago

The village has a population of 12,999. What is the population<br> rounded to the nearest thousand?

Leni [432]

Answer:

13,000

Step-by-step explanation: please mark brainliest

5 0

3 years ago