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topjm [15]
3 years ago
14

Find the product of (4x − 3y)2. (2 points)

Mathematics
1 answer:
Fittoniya [83]3 years ago
6 0

Answer:

16x^2-24xy+9y^2

Step-by-step explanation:

(4x-3y)^2

(4x-3y)(4x-3y)

16x^2-12xy-12xy+9y^2

16x^2-24xy+9y^2

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Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 2 miles 3.5 miles and 4 miles. What is the mean distance that jum jogge
Marizza181 [45]

Mean means average.

To find the average, add the data then divide it by the amount of individual data you have.

(6.5 + 5 + 3 + 2 + 2 + 3.5 + 5)/2 = mean

27/2 = mean

13.5 = mean

13.5 miles is the mean distance that Jim jogged.

5 0
3 years ago
Place the decimal point in the answer to make it correct. Explain your reasoning. 3.9853X8.032856 = 32013341.
horsena [70]
<span>1.       </span><span>The Given problem is to find where to place the decimal point to the product shown below.
3.9853 x 8.032856, notice that the given equation are decimal numbers with both ones place value of the whole number.
Now, given the answer 32013341 without decimal point, let’s find where to put the decimal point.
=> 3.9853 x 8.032856
=> 32.013341
Thus, the decimal point is now located after the 2nd number.  We now have 2 whole numbers with value of tens.

 </span>



5 0
4 years ago
Which expression is equivalent to the given expression?
pishuonlain [190]
D) factor out the x
x(17-32)
8 0
3 years ago
The longest leg of a right triangle is 30 feet and another side is 20 feet. Find the perimeter of the triangle. Round to the nea
abruzzese [7]

Answer: 72.4 ft

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7 0
4 years ago
1. There were 36,000 people at a horse race in Lexington, Kentucky. The day's
Step2247 [10]

Answer:

  • 10000 people paid $12.00 each for clubhouse seats and
  • 26000 people paid $5.00 each for grandstand seats.

Step-by-step explanation:

The question is asking for a system of equations, which make explanations easy. :)

Define the variables. Setting x to the number of clubhouse seats sold and y to the number of grandstand seats sold will be sufficient. The "let statement[s]" will be:

  • Let x be the number of clubhouse seats sold.
  • Let y be the number of grandstand seats sold.

The number of equations shall be no less than the number of variables for the solution to be unique. There are two variables. It will take at least two equations to find a unique solution.

Everyone at the race need a seat. The number clubhouse seats plus the number of grandstand seats shall be the same as the number people at the race. There were 36,000 people. Therefore the first equation shall be:

x + y = 36000.

Every clubhouse seat will add $12.00 to the receipt. x clubhouse seats will add $12\;x to the receipt. Similarly, y grandstand seats will add $5\;y to the receipt. The two values shall add up to $250,000.

Drop the dollar sign to get the second equation:

12\;x +5\;y =250000.

Hence the system:

\displaystyle \left\{\begin{aligned}& x + y = 36000 && \textcircled{\raisebox{-0.9pt}1}\\ & 12\;x + 5\;y = 250000 && \textcircled{\raisebox{-0.9pt}2}\end{aligned} \phantom{\small credit for the raisebox hack: tex[dot]stackexchange[dot]com/questions/7032/good-way-to-make-textcircled-numbers}.

Solve this system.

The first non-zero coefficient in equation \textcircled{\raisebox{-0.9pt}1} is already one. That's the coefficient for x. Use multiples of equation \textcircled{\raisebox{-0.9pt}1} to get rid of x in other equations (equation \textcircled{\raisebox{-0.9pt}2} in this case.)

-12 times equation \textcircled{\raisebox{-0.9pt}1} is

-12 \;x - 12\;y = -432000.

Add -12\times \textcircled{\raisebox{-0.9pt}1} to \textcircled{\raisebox{-0.9pt}2} to get:

0\;x + -7\;y = -182000.

Divide both sides by -7 to get:

y = 26000.

Add -1 times this equation to equation \textcircled{\raisebox{-0.9pt}1} to get:

x = 10000.

That is:

\displaystyle \left\{\begin{aligned}&x = 10000\\&y = 26000\end{aligned}.

In other words,

  • 10000 clubhouse seats were sold, and
  • 26000 grandstand seats were sold.
8 0
3 years ago
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