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spayn [35]
4 years ago
5

What is the domain of, f (x) = -2 (x+5)^2 -3

Mathematics
1 answer:
vodka [1.7K]4 years ago
4 0
The domain of any polynomial is
.. all real numbers.
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Direction: Solve the given problems.
MAXImum [283]
<h2>○=> <u>Solution (6)</u> :</h2>

Ratio of two numbers = 2:3

The larger number = 6

Let the smaller number be x.

Which means :

=\tt 2 : 3 \:  =  \:  x  : 6

= \tt \frac{2}{3}  =  \frac{x}{6}

=\tt 2 \times 6 = 3 \times x

=\tt 12 = 3x

=\tt x =  \frac{12}{3}

\hookrightarrow\color{plum}\tt \: x = 4

▪︎<u>Therefore, the smaller number = 4</u>

<h2>○=> <u>Solution (7)</u> :</h2>

36 compared to 6 = \tt \frac{36}{6}

Let the number be x.

Which means :

= \tt \frac{36}{6}  =  \frac{x}{3}

=\tt  \frac{36 \div 2}{6 \div 2}  =  \frac{x}{3}

=\tt  \frac{36}{6}  =  \frac{18}{3}

▪︎Therefore, the fractional number \tt \frac{18}{3} is equal to \tt \frac{36}{6}.

<h2>○=> <u>Solution (8)</u> :</h2>

Number of Rose's for 24 red Rose's = 6

This can be written in a ratio as 24:6

Number of roses = 8

Let the number of red roses for these roses be x.

Which means :

=\tt  \frac{24}{6}  =  \frac{x}{8}

=\tt 24 \times 8 = 6 \times x

=\tt 192 = 6x

=\tt x =  \frac{192}{6}

\hookrightarrow \color{plum}\tt x = 32

▪︎Therefore, 32 red roses are there if there are 8 roses.

<h2>○=> <u>Solution (9)</u> :</h2>

Number of children for 2 adults = 7

This can be written in a ratio as 7:2

Number of children in the plaza = 21

Let the number of adults be x.

Which means :

= \tt \frac{7}{2}  =  \frac{21}{x}

=\tt7 \times x = 2 \times 21

=\tt 7x = 42

=\tt x  =  \frac{42}{7}

\hookrightarrow \color{plum}\tt \: x = 6

▪︎Therefore, 6 adults were there in the plaza.

<h2>○=> <u>Solution (10)</u> :</h2>

Cost of 12 pencils = P60

Cost of 1 pencil :

= \tt \frac{60}{12}

=\tt P5

Thus, the cost of one pencil = P5

Cost of 25 pencils :

= Cost of one pencil × 25

=\tt 5 \times 25

\color{plum}=\tt \: P  \: 125

▪︎Therefore, the cost of 25 pencils = P125

7 0
3 years ago
Wayne invited 96 people to an engagement party.
serious [3.7K]
60/96 = 0.625 , times that by 100 gives you the percentage of 62.5%
5 0
3 years ago
A box contains 5 red balls, 7 green balls, and 6 yellow balls. In how many ways can 6 balls be chosen if there should be 2 balls
Nostrana [21]

Answer:

12 balls

Step-by-step explanation:

take 3 red balls ,5 green balls and 4 yellow balls that 12 balls = 6 balls in bag

5 0
3 years ago
Which of the following is a factor of 24x6 − 1029y3?
amid [387]

Answer:

The answer to your question is only the second and the third are factors.

Step-by-step explanation:

Find the factors of               24x⁶ − 1029y³

First find the prime factors of 24 and 1029

  24  2                1029 3

  12   2                  343 7                  Then 24 = 2³3

   6   2                    49  7                         1029 = 7³ 3

   3   3                       7  7

   1                             1

     x⁶ = (x²)³                  y³ = y³

Then

                                  2³3(x²)³  -  7³ 3  y³

Factor 3                    3[  2³(x²)³  -  7³ y³]

Factor                      3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]

Then

24

2x2 + 7y

4x4 + 14x2y + 49y2

All of the above

8 0
3 years ago
Read 2 more answers
A square has a side of 6.25. What is the area in square feet
expeople1 [14]
\sf\\\ The\ area\ of\ a\ square\ is\ a^2\ where\ a\ is\ the\ side.\\The\ side\ is\ 6.25.\\6.25^2={\boxed{39.06\ square\ feet}
4 0
3 years ago
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