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4 years ago

The product of a number and 2 is 20 less than the product of the number and -3. What is the number?

Mathematics

1 answer:

SOVA2 [1]4 years ago

6 0

<h3>answer:</h3>

x = -4

<h3>steps:</h3>

Let the number = x (set up an equation)

2x = -3x - 20

add 3x to both sides

5x = -20

divide by 5 on both sides

x = -4

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

kap26 [50]

ANSWER

The coefficient is 70.

EXPLANATION

The given binomial expression is

$(x+y)^8$

The specific term of a binomial expansion can be determined using the formula,

$T_{r+1}= nC_ra^{n-r}b^r$
where

$n=8,r=4,a=x,b=y$

We substitute these values into the formula to get,

$T_{4+1}= 8C_4x^{8-4}y^4$

We simplify to get,

$T_{5}= 70x^{4}y^4$

Hence the coefficient is 70.

4 0

3 years ago

Steven's kite rose into the air at the rate of five feet per second. How many feet did it rise in 2/3 minute (please explain how

igor_vitrenko [27]

Answer:

800 ft

Step-by-step explanation:

2/3 minutes = 2/3 min * 60 sec/min = 40 sec

5 ft/sec * 40 sec = 800 ft

4 0

3 years ago

A rectangle is formed by placing two identical squares side by side

ryzh [129]

The perimeter of the entire rectangle is 12 cm.

3 0

3 years ago

The formula for the perimeter of a rectangle is P=2(l+w).

olga2289 [7]

Answer:

See below.

Step-by-step explanation:

Part A.

I'm changing the l and w to capital letters, so you don't confuse the l (small-case L) with a 1 (one).

P =2(L + W)

Since W is on the right side, switch sides to end up with W on the left side.

2(L + W) = P

Since the quantity in parentheses is being multiplied by 2, we divide both sides by 2.

L + W = P/2

L is being added to W, so we subtract L from both sides.

W = P/2 - L

Part B.

First, I switched sides to have W on the left side. Then, I divided both sides by 2. Finally, I subtracted L from both sides.

7 0

3 years ago

2x+ 8 > -4

RSB [31]

Answer:

it is a because i did this not too long ago

Step-by-step explanation:

5 0

2 years ago