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4 years ago

What is the ninth term in the binomial expansion of (x – 2y)13? 329,472x5y8 –329,472x5y8 –41,184x8y5 41,184x8y5

Mathematics

1 answer:

scZoUnD [109]4 years ago

4 0

Hello,
Please, see the detailed solution in the attached file.
Thanks.

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What is the perimeter of the triangle below?<br> a.) 14.7<br> b.) 24<br> c.) 48<br> d.) 16.7

zalisa [80]

Answer:

The answer is

Step-by-step explanation:

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7 0

3 years ago

The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32 units. What is the width, in units, of

tigry1 [53]

Answer:

b=4

Step-by-step explanation:

Lets a be lenght and b width. From text we have:

a=b+4

a*b=32

Put the first equation in the 2n, we get:

(b+4)b=32

b^2+4b-32=0

b^2+8b-4b-32=0

b(b+8)-4(b+8)=0

(b+8)(b-4)=0

So it must be b=-8 or b=4. We know that width cannot be negative, so it is 4.

5 0

4 years ago

10. Write (2x + 1)(x - 3)(x - 2) in standard form.

Leto [7]

Answer:

$2x^3-9x^2+7x+6$

Step-by-step explanation:

The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.

$(2x+1)(x-3)(x-2)$

Distribute,

$(2x+1)(x-3)(x-2)$

$((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)$

Simplify,

$((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)$

$(2x^2-6x+x-3)(x-2)$

$(2x^2-5x-3)(x-2)$

Distribute,

$(2x^2-5x-3)(x-2)$

$(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)$

Simplify,

$(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)$

$2x^3-5x^2-3x-4x^2+10x+6$

$2x^3-9x^2+7x+6$

This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.

8 0

3 years ago

Shauna is making accessories for the soccer team she uses 513.48 inches of fabric on headbands for 40 player and 4 coaches she u

AleksAgata [21]

Answer:

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

Step-by-step explanation:

Shauna is making accessories for the soccer team

For Headbands

She uses 513.48 inches of fabric on headbands for 40 player and 4 coaches

The total number of persons = 40 players + 4 coaches

= 44 persons

Hence:

44 persons = 513.48 inches

1 person = x

Cross Multiply

44x = 513.48 inches × 1

x = 513.48 inches/44

x = 11.67 inches per person

For Wristbands

She uses 372.40 inches of fabric on wristbands for just the players how much fabric was used on a headband and wristband for each player?

Number of players = 40

Hence

40 players = 372.40 inches

1 players = x inches

Cross Multiply

40x = 372.40 inches

x = 372.40 inches/40

x = 9.31 inches

Hence, 9.31 inches per player.

Therefore

For each player:

Headbands = 11.67 inches of fabric

Wristbands = 9.31 inches of fabric

5 0

3 years ago

A chemistry experiment needed 12.45 grams of chemical to produce one liter of a gas. If Zoe wanted 24 liters of gas, how many ki

muminat

0.2988kg of the chemical will be needed.

7 0

3 years ago