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kumpel [21]
3 years ago
13

What is the 5th term of the expansion of (3x+y^4)^7

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

9514 1404 393

Answer:

  945x^3·y^16

Step-by-step explanation:

The 5th term will be ...

  C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)

  = 945x^3·y^16

_____

The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.

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From his house, Tom rides his bike 5 kilometers east to the store. He then rides his bike 2 kilometers west to his friends house
mario62 [17]

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

7 0
2 years ago
What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?
Ratling [72]

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

6 0
3 years ago
Standard form of a point that goes through-2,4 and the slope is -1/7
lesantik [10]

<u>Answer:</u>

Standard form of a line passing through (-2, 4) and having slope of  -1/7 is x + 7y = 26

<u>Solution:</u>

Given that we need to determine standard form of a line that goes through (-2 , 4) and slope of the line is -1/7

Standard form of line passing through point ( a , b ) and having slope m is given by

(y – b) = m ( x – a)   --------(1)

In our case given point is ( -2 , 4 ) and slope is -1/7 that means

a = -2 , b = 4 , m = -(1/7)

On substituting given value of a , b and m is equation (1) we get

(y-4)=\left(-\frac{1}{7}\right)(x-(-2))

=>(y-4)=\left(-\frac{1}{7}\right)(x+2)

=> 7( y - 4 ) = -x – 2

=> 7y + x = -2 + 28

=> x + 7y = 26  

Hence standard form of a line passing through (-2,4) and having slope of –(1/7) is x + 7y = 26

8 0
3 years ago
Here are six numbers-4, -2, -1, 5, 6, 8Arrange the card into three pairs with the same total
Usimov [2.4K]

ANSWER 8-4   5-1     6-2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
OMG PLZZZZZZ HELP ME I REALLY NEED HELP :'( EVERYONE WHO HELPS ME GETS IT WRONG PLZZZ HELP ME IM BEGGING YOU
saveliy_v [14]

Answer:

1st Picture: d = -16

2nd Picture: g = -13.8

Step-by-step explanation:

1st Picture: Divide both sides by -11 to balance both sides and get the answer.

2nd Picture: Subtract 1.2 from both sides.

8 0
3 years ago
Read 2 more answers
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