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ad-work [718]
3 years ago
11

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

  C.  70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

  nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

  8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

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(-5,-3) (5,5)<br> slope<br> What is the slope ?
Setler [38]

Answer:

The slope is 10/8

Step-by-step explanation:

You would rise 10 units and you would run 8 units.

6 0
3 years ago
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14 pints of chocolate ice cream, 8 pints of vanilla bean ice cream, and 12 pints of strawberry swirl ice cream. Find the ratio o
gogolik [260]
6 pints: 17 pints
It means that there is 6 pints of strawberry ice cream in every 17 pints of ice cream total
7 0
3 years ago
Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns$2
Lana71 [14]

Answer:

To break-even, Zorah needs to play for 8 hours.

Step-by-step explanation:

<u>To calculate the break-even point in hours, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / (25 - 10)

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To break-even, Zorah needs to play for 8 hours.

5 0
3 years ago
Find point G on AB such that the ratio of AG to GB is 3:2.
lora16 [44]

Using proportions, the coordinates of point G are given as follows:

(1.8, 1.6).

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The points A and B are given as follows:

A(-3, 4) and B(5,0).

For this problem, we have that the ratio of AG to GB is 3:2, hence:

AG = 3/5AB

G - A = 3/5(B - A).

The x-coordinate of G is found as follows:

x + 3 = 3/5(5 + 3)

x + 3 = 4.8

x = 1.8.

The y-coordinate of G is found as follows:

y - 4 = 3/5(0 - 4)

y - 4 = -2.4

y = 1.6.

Hence the coordinates of point G are given as follows:

(1.8, 1.6).

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

5 0
2 years ago
Which expression shows the result of applying the distributive property to 1/4(−3n+3/2) ?
marissa [1.9K]
1/4(-3n + 3/2) =
-3/4n + 3/8
4 0
3 years ago
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