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Readme [11.4K]
3 years ago
12

Given:3x-4=8 prove x=4

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Hi!

Okay, so to prove that x = 4, all you have to do is insert 4 into the equation by replacing x with 4.

3x-4=8

3(4)-4=8

Now solve:

12-4=8

8=8

This is true, so x does equal 4.

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Identify the geometric mean of 8 and 20 in simplest radical form.
Temka [501]

Answer:

8/x = x/20

x^2=160

x=sqrt(160)

x=sqrt(16*10)

x=sqrt(16)*sqrt(10)

x=4*sqrt(10)

Step-by-step explanation:

4 0
2 years ago
in a round robin tennis tournament involving 7 players, each player will play every other player twice. How many total matches w
baherus [9]
Total number of ways to make a pair:

The first player can be any one of 7 .  For each of those . . .
The opponent can be any one of the remaining 6 .

Total ways to make a pair  =  7 x 6 = 42 ways .

BUT ... every pair can be made in two ways ...  A vs B  or  B vs A .
So 42 'ways' make only (42/2) = 21 different pairs.

If every pair plays 2 matches, then  (21 x 2) = <em><u>42 total matches</u></em> will be played.


Now, is that an elegant solution or what !
8 0
3 years ago
Is 1,4,9 and 16 a geometric sequence
Umnica [9.8K]
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5 0
3 years ago
HELP ME WITH MATHHHHH ILL GIVE YOU BRAINLIEST
Alla [95]

Answer:

  -3, 1, 4 are the x-intercepts

Step-by-step explanation:

The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).

In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.

__

For the given polynomial, we notice that the sum of the coefficients is zero:

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We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...

  f(x) = (x -1)(x -4)(x +3)

Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.

The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.

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3 years ago
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Answer:

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