All categories

3 years ago

The tThe term 10x3y2 is a term in which binomial expansion?

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Answer:

(x + y)^5.

Step-by-step explanation:

The (r+1)th term of (x + y)^n = nCr x^n-r y^r

Compare this with 10x^3 y^2 we get

nCr = 10 , n-r = 3 and r = 2 giving n = 3+2 = 5

5C2 = 10.

So the answer is (x + y)^5.

You might be interested in

20. Carmen can buy bottles of paint for $2.00 each and boxes of colored pencils for $3.50 each. She can spend no more than

EleoNora [17]

Answer:

(a) The equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

x = 14, y = 4 is First Solution.

x = 7, y = 8 is Second Solution.

x = 21, y = 0 is Third Solution.

Step-by-step explanation:

Here, the cost of 1 bottle of paint = $2.00 each

The cost of 1 box of colored pencils = $3.5 each

Let us assume the number of bottle of paints purchased = x

So, the cost of x bottle of paints = x ( Cost of 1 bottle of paint)

= x ($2.00) = 2 x

Also, assume the number of box of colored pencils purchased = y

So, the cost of y box of colored pencils = y ( Cost of 1 box)

= y ($3.50) = 3.5 y

Also, the total amount to be spent on art supplies = $42

So, the total amount spent on x paint bottles + y box of colored pencil

= $42

or, 2 x + 3.5 y = 42

a ) So, the equality that express many bottles of paint, x, and boxes of colored pencils, y, Carmen can buy is 2 x + 3.5 y = 42

b)Three different solutions:

When y = 4 , equation is: 2 x + 3.5(4) = 42

or, 2 x = 42 - 14 = 28, or x = 28/2 = 14

So, x = 14, y = 4 is First Solution.

When y = 8 , equation is: 2 x + 3.5(8) = 42

or, 2 x = 42 - 28 = 14, or x = 14/2 = 7

So, x = 7, y = 8 is Second Solution.

When y = 0 , equation is: 2 x + 3.5(0) = 42

or, 2 x = 42 , or x = 42/2 = 21

So, x = 21, y = 0 is Third Solution.

7 0

3 years ago

If four desk lamps cost $120 what is the average cost per lamp?

Nookie1986 [14]

$30 each. Unless that's not the answer you are looking for.

8 0

3 years ago

Read 2 more answers

How can yo do 9087 divided by 12

vodka [1.7K]

Answer

9087 divide by 12
=752.25

3 0

3 years ago

Read 2 more answers

Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

d1i1m1o1n [39]

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

4 0

3 years ago

Last HW Mr Thompson! Please Help!

TiliK225 [7]

Answer:

B, D, D, B, C

Step-by-step explanation:

1) The part of the equation that tells us the graph would open downward would be B, the negative coefficient of $x^{2}$ .

We know this because, if we reorganize the equation into the standard form y = mx + b, we get y = -(x²) + 1. This means that for any value we substitute for x, y will always be negative. The answer is B.

2) To find the zeroes of this function, we just have to see which answer makes the function, well, zero.

We have the equation y = (-16t - 2) (t - 1)

We set the equation equal to zero like this:

0 = (-16t - 2) (t - 1)

We also know that anything multiplied <em>by</em> zero will <em>equal</em> zero, so:

0 = (-16t - 2) and 0 = (t - 1)

Now we just solve for t in both equations:

0 = -16t - 2

-16t = 2

t = 2/-16 or -1/8

0 = t - 1

t = 1

So our answer will be D.

3) This time, we are given the same equation but the variable t represents time and y represents the height.

The zeroes are when y = 0, so the zeroes (which are 1 and -1/8 from the last problem) mean that the height is also at zero (which is the ground).

Furthermore, time cannot be negative, so the correct answer choice would be D.

4) We are given the same equation and story problem, but instead we are asked to find the height when the ball was thrown. In other words, we need to find the y-intercept.

The y-intercept is when t = 0, so:

y = (-16t - 2) (t - 1)

y = (-16(0) - 2) (0 - 1)

y = (-2) (-1)

y = 2

So, the correct answer is B, 2 feet.

5) This problem is a simple theoretical question. We know that the constant c will represent the vertical translation or y-intercept, so the correct answer is C.

8 0

3 years ago