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Zinaida [17]
3 years ago
13

Will give brainiest to correct answer with explanation

Mathematics
1 answer:
HACTEHA [7]3 years ago
3 0

Answer:

jesus is always the answer

Step-by-step explanation:

jesus jesus

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Find the GCF of 44j5k4 and 121j2k6.
photoshop1234 [79]
How? I really would like to know
4 0
3 years ago
Find the polynomial of minimum degree, with real coefficients, zeros at x=4+4i and x=2, and y-intercept at 64
Mice21 [21]

Answer:

\displaystyle -x^3+10x^2-48x+64

Step-by-step explanation:

We want to find the minimum-degree polynomial with real coefficients and zeros at:

x= 4+4i\text{ and }  x = 2

As well as a <em>y-</em>intercept of 64.

By the Complex Root Theorem, if <em>a</em> + <em>b</em>i is a root, then <em>a</em> - <em>b</em>i is also a root.

So, a third root will be 4 - 4i.

The factored form of a polynomial is given by:

P(x)=a(x-p)(x-q)...

Where <em>a</em> is the leading coefficient and <em>p</em> and <em>q</em> are the zeros. More factors can be added if necessary.

Substitute:

P(x)=a(x-(2))(x-(4+4i))(x-(4-4i))

Since we want the minimum degree, we won't need to add any exponents.

Expand the second and third factors:

\displaystyle \begin{aligned} (x-(4+4i))(x-(4-4i))&=(x-4-4i)(x-4+4i) \\ &= x(x-4-4i)-4(x-4-4i)+4i(x-4-4i)\\ &=x^2-4x-4ix-4x+16+16i+4ix-16i-16i^2\\ &= x^2-8x+32\end{aligned}

Hence:

P(x)=a(x-2)(x^2-8x+32)

Lastly, we need to determine <em>a</em>. Since the <em>y-</em>intercept is <em>y</em> = 64, this means that when <em>x</em> = 0, <em>y</em> = 64. Thus:

64=a(0-2)(0^2-8(0)+32)

Solve for <em>a: </em>

-64a=64\Rightarrow a=-1

Our factored polynomial is:

P(x)=-(x-2)(x^2-8x+32)

Finally, expand:

\displaystyle \begin{aligned} P(x) &=-(x^2(x-2)-8x(x-2)+32(x-2)) \\&=-(x^3-2x^2-8x^2+16x+32x-64)\\&=-(x^3-10x^2+48x-64)\\&= -x^3+10x^2-48x+64\end{aligned}

8 0
3 years ago
What is the product of 5.2×<img src="https://tex.z-dn.net/?f=10%5E%7B4%7D" id="TexFormula1" title="10^{4}" alt="10^{4}" align="a
marysya [2.9K]

Answer:

6.76 × 10²

Step-by-step explanation:

5.2 × 10^{4} × 1.3 × [/tex]10^{-2}[/tex]

= 5.2 × 1.3 × 10^{2}

= 6.76 × 10²

6 0
3 years ago
Read 2 more answers
Can you please help me on the ones i have posted
Serga [27]
Just use the stats given and put them into the fomula

5 0
3 years ago
5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find th
IgorLugansk [536]

Answer:

Step-by-step explanation:

Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:

= 100 + 200(n)

= 100 + 200n

The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:

= 100 + 200n

= 100 + 200(4)

= 100 + 800

= $900

6 0
3 years ago
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