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3 years ago

What is the coefficient of the term x7y in the expansion of (x + y)^8?

1 answer:

3 0

<span>The coefficient for x^7*y is equal to 8Choose7 which is 8!/7! which is 8, or answer b. Pascal's triangle may be used to capture this as well, or use the exponent as above.</span>

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-5 2/3 + 3 1/4 + -7 1/3

alexgriva [62]

-9.5

I think I might be wrong

7 0

3 years ago

Jillian invested $2000 in an account with a 1.25% annual

Dennis_Churaev [7]

Answer:

the balance is 2075 dollars

Step-by-step explanation:

The answer is 2075 because 1.25% of 2000 is 25 and 25 multiplied by 3 is 75 and 75 plus 2000 is 2075.

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3 years ago

PLEASE HELP ASAP

cupoosta [38]

Answer: b

Step-by-step explanation: The graph shows that the maxiumum x is -1 and it can go lower. You plug them in and b is the right answer.

7 0

4 years ago

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

toni bought an old bike for 50$. She fixed it up and sold it for $80. What percent of the original value was toni’s sale price

ikadub [295]

For this case what you must do is the following rule of three:
50 ---> 100
80 ----> x
We clear x:
x = (80/50) * (100)
x = 160%
160-100 = 60%
Answer:
toni added 60% of the original value for his sale price

3 0

3 years ago