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3 years ago

How do I get this answer and what is it

Mathematics

1 answer:

Sedaia [141]3 years ago

7 0

The degree is 5, so the largest exponent of the polynomial is 5. This means the answer is either A or B. Choice C is ruled out because the degree here is 7. Choice D is ruled out because the degree here is 6

For choice A, the leading coefficient is 6. This is the number to the left of the variable term of the largest exponent. So we can rule out choice A (because the leading coefficient should be 7)

Choice B is the answer. It has a degree of 5 and a leading coefficient of 7 and also a constant term of 6. The constant term is simply the term without any variables attached to it.

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What is the 4th term of the expanded binomial (2x – 3y)^6

san4es73 [151]

Answer:

The 4th term of the expanded binomial is $-4320x^3y^3$

Step-by-step explanation:

Considering:

$(x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k}y^k$

$(2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k} (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of $k$

$(2x-3y)^6 = \binom{6}{0} (2x)^{6-0}(-3y)^0 + \binom{6}{1} (2x)^{6-1}(-3y)^1 + \binom{6}{2} (2x)^{6-2}(-3y)^2 + \\$

$\binom{6}{3} (2x)^{6-3}(-3y)^3 + \binom{6}{4} (2x)^{6-4}(-3y)^4 + \binom{6}{5} (2x)^{6-5}(-3y)^5 + \binom{6}{6} (2x)^{6-6}(-3y)^6$

I will not write every product, but just solve following the steps:

For $k=0$

$\binom{6}{0} (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)} (2x)^{6-0}(-3y)^0$

$\frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

$64x^6$

$(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6$

8 0

2 years ago

What is the slope intercept form of 3x+4y=-24

kozerog [31]

Rearrange so 4y= -3x-24 then divide everything by 4so,

Y=-3x/4 - 6. The intercept is -6

6 0

3 years ago

Read 2 more answers

How do you find the value for x in the problem?

Nata [24]

Make use of the fact that side lengths in similar triangles are proportional.
.. 30/18 = (20 +x)/20
.. 20*(30/18) -20 = x . . . . multiply by 20, subtract 20
.. 33 1/3 -20 = x . . . . . . . . evaluate the product
.. 13 1/3 = x

6 0

3 years ago

What is (-8)to the power of 2 equal??

Vladimir79 [104]

(-8)^2
(-8)(-8)
64

Hope this helps!

3 0

2 years ago

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Two sides of a rectangle differ by 3.5cm.Find the dimensions of the rectangle if its perimeter is 67cm.

Margaret [11]

Answer:

Sides are x and x + 3.5 cm