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MariettaO [177]
2 years ago
11

Factor the following:

Mathematics
1 answer:
Degger [83]2 years ago
6 0
The answer #2.(4xy-9)(4xy+9)
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What is the length and width of a room that is 60 square meters and has a perimeter of 32 meters
AleksAgata [21]
L = lenght
W = width

L * W = 60 \\
2L + 2W=32\\\\
L = \frac{32-2W}{2}\\
\frac{32-2W}{2}*W = 60\\
(16-W)*W = 60\\
-W^{2} + 16W -60 = 0\\\\

d = 16^{2} - 4*1*60 =  256 - 240 = 16 \\\\
W1 = \frac{-16+\sqrt{16}}{-2} =  \frac{-12}{-2} = 6\\
W2 = \frac{-16-\sqrt{16}}{-2} =  \frac{-20}{-2} = 10\\

L1 = 10\\
L2 = 6\\


so

{L,W} = {6,10} or {10,6}

but L > W  so

L = 10
W = 6
7 0
3 years ago
Which statements about opposites are true?
Sloan [31]

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "opposite" of a number is that number with its sign changed.

__

  • The opposite of zero is zero.
  • A number and its opposite are located the same distance from zero on a number line.
  • The opposite of a negative number is always a positive number.
7 0
2 years ago
Read 2 more answers
Estimate 17.9 divided by 9
babunello [35]
Hi

To estimate, round the decimal to the nearest whole number, which is 18.
18/9 = 2

The answer is 2 

Hope this helps! :)
6 0
2 years ago
Read 2 more answers
A study of the career paths of hotel general managers sent questionnaires to an SRS of 160 hotels belonging to major U.S. hotel
otez555 [7]

Answer:

(10.78483, 12.61517)

Step-by-step explanation:

It is given that the genera mangers of few hotels were sent some questionnaires for conducting a study for the career paths in the major hotel chains of the United States.

Number of hotels = 160

Number of response received = 103

The average number of years these general mangers was in their current hotels, $\bar x$ = 11.7 years

Confidence Interval, CI = 0.99

Therefore,

a = 0.01, |Z(0.005)|  (from standard normal table)

∴ 99% of CI =  $\bar x \pm Z \times \frac{s}{\sqrt n}$

                   $= 11.7 \pm 2.58 \times \frac{3.6}{\sqrt {103}}$

                    $(10.78483, 12.61517)$

3 0
2 years ago
Write an expression for the quotient of a number and 5 decreased by 4
Oksi-84 [34.3K]
Q=x/5-4

let me know if you have any questions
3 0
3 years ago
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