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2 years ago

Which is equivalent to (4 x y minus 3 z) squared, and what type of special product is it?

Mathematics

2 answers:

Yuliya22 [10]2 years ago

8 0

Answer:

$16x^{2}y^{2}-24xyz+9z^2$

It is a perfect square trinomial.

Step-by-step explanation:

The square of a binomial can be solved like this:

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

We have the expression:

$(4xy-3z)^2$

Then, we consider a and b as:

$a=4xy\\ b=-3z$

The solution would be:

$a^2=(4xy)^2=4^2x^2y^2=16x^2y^2$

$b^2=(-3z)^2=(-3)^2z^2=9z^2$

$2ab=2(4xy)(-3z)=-24xyz$

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

krek1111 [17]2 years ago

8 0

Answer:

Yep! Your right! Its the last option! (Option D) I took the test!

Step-by-step explanation:

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The trifecta at most racetracks consists of selecting the first-, second-, and third-place finishers in a particular race in t

ziro4ka [17]

The total tickets to be purchased to guarantee the win = 504 tickets

Step-by-step explanation:

Step 1 :

Number of entries in the trifecta race = 9

The win is to select the first finisher, second finisher and third finisher in their proper order.

We need to find the number of tickets to be purchased to guarantee the win

Step 2 :

Number of ways to select the first finisher = 9

Number of ways to select the second finisher = 8 [the first is selected and fixed. So the number of available finishes is reduced by 1]

Number of ways to select the third finisher = 7

Hence the total tickets to be purchased to guarantee the win = 9 × 8 × 7 = 504

Step 3 :

Answer :

The total tickets to be purchased to guarantee the win = 504 tickets

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2 years ago

The function y = 50x describes the distance Gary has traveled in miles after x hours. Use the graph to estimate how many miles G

Nana76 [90]

Substitute 8 for x in the function.
y=50(8)=400
He would travel 400 miles

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2 years ago

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Two old rsm students were standing twenty feet apart when they spotted mrs. rifkin. if they immediately run in opposite directio

Black_prince [1.1K]

Speed of student A is 180 ft/min
Speed of student B is 120 ft/min
Relative speed=(120+180)=300 ft/min
Distance between them is 2420 ft
Time taken for them to meet will be:
time=distance/speed
=(2420-20)/300
=8 min

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2 years ago

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PLS HELP ASAP I WILL IVE BRAINLIST ANSWER!!!!!Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using thi

Juliette [100K]

Answer:

Leon is correct. (Option 1)

Step-by-step explanation:

Given that Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7

Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5

Step 3: Verify that the lengths found in step 2 form a Pythagorean triple.

we have to explain whether or not Leon is correct.

As, 3,4,5 forms a Pythagorean triplet i.e satisfies the Pythagoras theorem

$Hypotenuse^2=Base^2+Perpendicular^2$

⇒ $5^2=3^2+4^2$

Let a, b, c forms a Pythagorean triplet

$a^2+b^2=c^2$

Multiplied by 4 on both sides

⇒ $4a^2+4b^2=4c^2$

⇒ ${2a}^2+{2b}^2={2c}^2$

Hence, we say 4a, 4b and 4c also forms a Pythagorean triplet.

∴ multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Hence, Leon is correct.

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2 years ago

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A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r

QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

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2 years ago

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