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ahrayia [7]
3 years ago
7

The sum of a number and 20 is no more than the sum of the square of the number and 9.

Mathematics
2 answers:
choli [55]3 years ago
8 0
The answer is A because the phrase " no more than" stands for the symbol "less than or equal to", and "the sum of the square if the number and 9" stands for the number squared and then added to nine (x + 9)2.
Olegator [25]3 years ago
8 0

Answer:

Option A is correct

x+20 \leq x^2+9

Step-by-step explanation:

Let the number be x.

As per the statement:

The sum of a number and 20 is no more than the sum of the square of the number and 9.

"sum of a number and 20" translated to x + 20

"no more than" means \leq

"sum of the square of the number and 9" translated to x^2+9

then;

x+20 \leq x^2+9

Therefore, the following inequalities can be used to determine this unknown number is, x+20 \leq x^2+9

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Explanation:
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2 years ago
1. Consider the data set 1,2,3,4,5,6,7,8,9.
ivanzaharov [21]

Answer:  a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

Step-by-step explanation:

Since we have given that

1,2,3,4,5,6,7,8,9

Here, n = 9 which is odd

So, Mean would be

\dfrac{1+2+3+4+5+6+7+8+9}{9}=\dfrac{45}{9}=5

Median = (\dfrac{n+1}{2})^{th}=\dfrac{9+1}{2}=5^{th}=5

If 9 is replaced by 99,

1,2,3,4,5,6,7,8,99

So, mean would be

\dfrac{1+2+3+4+5+6+7+8+99}{9}=\dfrac{135}{9}=15

Median would be same as before i.e. 5

The mean is neither central nor typical for the data due to outlier i.e. 99

Hence, a) Mean = 5, Median = 5

b) Mean = 15, Median = 5

c) Due to presence of outlier i.e. 99.

5 0
3 years ago
An airplane is descending to a runaway. At an altitude of 15.2 miles, its horizontal distance to the runway is 60 miles. Find th
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<u>Answer-</u>

<em>The angle of descent is 14.2 </em>

<em />

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3 years ago
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jekas [21]

Answer:

8

Step-by-step explanation:

The intersecting chord theorem is expressed as;

7 * x = 4 * 14

7x = 56

Divide both sides by 7

7x/7 = 56/7

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Hence the value of x is 8

5 0
2 years ago
Factor the expression below.4x2 - 1
marusya05 [52]

Answer:

C. (2x – 1)(2x + 1)

Step-by-step explanation:

4x² – 1 = (2x)(2x) – 1 = (2x – 1)(2x + 1)

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