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Diano4ka-milaya [45]
2 years ago
5

The harmonic mean of two real numbers x and y equals 2xy/(x + y). By computing the harmonic and geometric means of different pai

rs of positive real numbers, formulate a conjecture about their relative sizes and prove your conjecture.
Mathematics
1 answer:
olasank [31]2 years ago
7 0

Answer:

Conjecture :  2xy / ( x + y ) ≤  √xy

Step-by-step explanation:

Harmonic mean of  x and y = 2xy/( x + y )

<u>Formulate a conjecture about their relative sizes </u>

we will achieve this by computing harmonic and geometric means

Geometric mean = √xy

harmonic mean = 2xy/( x + y )

Conjecture :  2xy / ( x + y ) ≤  √xy

attached below is the proof

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Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor
jonny [76]

Answer:

12

trust me it works i just took the test.

5 0
3 years ago
PLEASE HELP ASAP
Lesechka [4]

Answer:

A. f and h

Step-by-step explanation:

For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.

For function f:

The values of f(x) are: 5,8,11,14

We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.

For function g:

The values of g(x) are: 8,4,16,32

We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.

For function h:

The values of h(x) are: 28, 64, 100, 136

We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.

5 0
3 years ago
Explain how to determine the zeros of f(x)=(x+3)(x-1)(x-8)
spin [16.1K]

Answer:

x=-3,  x=1,  x=8

Step-by-step explanation:

When you have to find the zero of an equation like (x+3) all you have to do is solve for x.

x+3=0           equal the equation to zero

x+3-3=0-3    cancel out 3

x=-3              answer


If you have to find the zero of an equation like f(x)=-2x^2 - 5x + 7 then you would have to factor the equation.

7*-2=-14   multiply

-7 & 2   find the two numbers that when multiplied =14 and when added = -5

(2x^2 + 2)  (-7x + 7)  replace -5 with -7 & 2

-2x (x - 1)   -7 (x - 1)   factor

(x - 1)   (-2x - 7)    rewrite

1st: x - 1 = 0

          x = 1 : Answer

2nd: -2x - 7= 0

        -2x - 7 + 7 = 0 + 7

        -2x = 7

        -2x / -2 = 7 / -2

          x = 7 / -2 : Answer





7 0
3 years ago
Read 2 more answers
Please help I'll give brainliest! This is number 6​
seraphim [82]

Answer:

< 1 = 125 degrees

< 2 = 55 degrees

< 3 = 125 degrees

< 4 = 55 degrees

< 5 = 125 degrees

< 6 = 55 degrees

< 7 = 125 degrees (given)

< 8 = 55 degrees

Step-by-step explanation:

1 and 3 are equal because they are vertical angles, therefore proving their congruence.

7 and 1 are equal because they're alternate exterior angles, which are congruent.

2 and 4 are vertical, which is congruent.

5 and 7 are vertical.

6 and 8 are vertical.

7 0
3 years ago
Ms. Smith and Mr. Roberts are running a race. Ms. Smith runs 8, 305 feet. Mr. Roberts runs 2 miles. How many feet further does M
Tcecarenko [31]

Answer:

Mr. Roberts runs 2,255 more feet then Ms. Smith.

Step-by-step explanation:

So I took 5,280 + 5,280 = 10,560 so now I can just take Ms. Smith's 8,305 and subtract it from 10,560 which gave me 2,255 so Mr. Roberts runs 2,255 more feet then Ms. Smith.

3 0
3 years ago
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