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konstantin123 [22]
3 years ago
10

The square of a number plus the number is 72. Find the number(s)

Mathematics
2 answers:
VashaNatasha [74]3 years ago
6 0
The answer would be 8, 8 times 8 is 64 plus 8 is 72
NeX [460]3 years ago
3 0

Answer: x = 64[/tex]

Step-by-step explanation:

In mathematical notation, the problem is to solve the following equation

\sqrt{x} + x = 72

We can assume that the new variable is (x^{1/2}), so the equation is:

(x^{1/2} )^{2} + (x^{1/2} ) -72 = 0

We can solve this like a normal quadratic equation

x^{1/2} = \frac{-1±\sqrt{1-4(1)(-72)}}{2}

x^{1/2}  = \frac{-1±17}{2},

The solutions are

x^{1/2} = -9 \\ x^{1/2} = 8

We use the positive one, because a square can not be negative

So, x^{1/2} = 8, x = 64

To prove the answer

\sqrt{64} + 64 = 72

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What is the interquartile range of the following data set?3,8,14,19,22,29,33,37,43,49
Vaselesa [24]
Q1: 14
Q3: 37
Interquartile: 37-14 = 23

THE ANSWER IS 23

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4 0
3 years ago
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
Circle assignment! THANKS so much its worth so much of my grade
kogti [31]

Answer:

1. B) Figure B.

2. C) Figure C.

3. D) Figure D.

4. C) Figure C.

Step-by-step explanation:

Given: Radius of Circle A= 4

           Radius of Circle B= 5

           Radius of circle C= 6

           Radius of circle D= 7

Now, finding circumference and area of all the circle.

We know, circumference of circle= 2\pi r

Area of circle= \pi r^{2}

Where, r= radius of circle and π = 3.14

First, solving for figure A

Circumference= 2\times 3.14\times 4= 25.12\ cm

Area= 3.14\times 4^{2} = 50.24\ cm^{2}

Solving for Figure B

Circumference= 2\times 3.14\times 6= 31.4\ cm

Area= 3.14\times 5^{2} = 78.5\ cm^{2}

Solving for Figure C

Circumference= 2\times 3.14\times 6= 37.68\ cm

Area= 3.14\times 6^{2} = 113.04\ cm^{2}

Solving for Figure D

Circumference= 2\times 3.14\times 7= 43.96\ cm

Area= 3.14\times 7^{2} = 153.86\ cm^{2}

∴ 1. Answer is Figure B.

   2. Answer is figure C.

   3. Answer is Figure D

   4. Answer is Figure C.

6 0
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HELP !!!! picture is shown GEOMETRY
kenny6666 [7]
The right triangle is also Isosceles. It has two equal angles of 45°.

(hypotenuse)² = 2S²

4 = 2S² => S = √2

Therefore B is the correct answer.
8 0
3 years ago
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marysya [2.9K]
Yes it does because when you graph it the next point would be (1,0).
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3 years ago
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