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2 years ago

Which is equivalent to (4xy-3x)^2, and what type of special product is it?

Mathematics

2 answers:

mars1129 [50]2 years ago

8 0

It's not the difference of squares, rather it is the square of a difference. That leaves a perfect square trinomial, which narrows your selection to two choices. An expression with 2 terms is not a trinomial, so that further narrows your selection. The appropriate choice is

... (4xy -3z)² = 16x²y² -24xyz +9z², a perfect square trinomial

_____

The expression you have in your problem statement has no z term, so none of the choices is applicable to that one.

maria [59]2 years ago

5 0

Answer:

The correct option is 4.

Step-by-step explanation:

The given expression is

$(4xy-3z)^2$

Algebraic formula:

$(a-b)^2=a^2-2ab+b^2$

It is a perfect square trinomial.

Using algebraic formula, we get

$(4xy-3z)^2=(4xy)^2-2(4xy)(3z)+(3z)^2$

$(4xy-3z)^2=16x^2y^2-24xyz+9z^2$

Therefore option 4 is correct.

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HELP DUE AT 11!!!! -2v + v = 3

ValentinkaMS [17]

Answer:

Step-by-step explanation:

solve for v

-2v + v = 3

combine like terms

-v = 3

divide by -1

v = -3

5 0

3 years ago

Read 2 more answers

The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of

k0ka [10]

Answer:

1920 gallons of water

Step-by-step explanation:

From the question; the amount of water is proportional to volume of the tank

i.e amount of water = volume of the tank

in a tropical fish;

3000 gallons of water = 12.5 m³ ----- Equation (1)

However, in the measurement of shark tank, we have

length = 20cm = 0.2 meters

width = 4 meters

Height = 10 meters

How many gallons of water can the shark tank hold?

From the measurement of shark tank, we can calculate the volume;

The volume of the tank = Length × width × height

Volume of the tank = 0.2 × 4 × 10 = 8 m³

since, the amount of water is proportional to volume of the tank

y ( Gallons of water ) = 8 m³ -------- Equation (2)

Equating equation 1 and 2; we have:

3000 gallons of water = 12.5 m³

y ( Gallons of water ) = 8 m³

y ( Gallons of water ) × 12.5 m³ = 3000 gallons of water × 8 m³

y ( Gallons of water ) = $\frac{3000 gallons of water * 8 m^3 }{12.5m^3}$

y ( Gallons of water ) = $\frac{24000}{12.5}$

y ( Gallons of water ) = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water

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3 years ago

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n August 31 of the current year, the assets and liabilities of Gladstone, Inc. are as follows: Cash $27,900; Supplies, $900; Equ

frez [133]

The amount of stockholders’ equity as of August 31 of the current year is $26400.

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The owner's equity will be:

= Cash + Supplies + Equipment - Account payable

= 27900 + 900 + 8500 - 7300

= 26400

Therefore, the amount of stockholders’ equity as of August 31 of the current year is

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1 year ago

Assuming that Switzerland's population is growing exponentially at a continuous rate of 0.19 percent a year and that the 1988 po

Nesterboy [21]

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P(0) = 6.9 x 10^6
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3 years ago

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Find the zeros (roots) of the following equations. f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0

Talja [164]

Hi,
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f(x)=(x-1)(2x^4-7x^3+5x^2-7x+3)\\


g(x)=2x^4-7x^3+5x^2-7x+3\\

g(3)=2*3^4-7*3^3+5*3^2-7*3+3\\
=162-189+45-21+3\\
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g(x)=(x-3)(2x^3-x^2+2x-1)\\

h(x)=2x^3-x^2+2x-1\\

h( \dfrac{1}{2} )=2* \dfrac{1}{8} - \dfrac{1} {4}+1-1\\
=0\\

h(x)=(2x-1)(x^2+1)\\


f(x)=(x-1)(x-3)(2x-1)(x+i)(x-i)\\


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8 0

2 years ago