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Lisa [10]
3 years ago
13

Are these equations equivalent? 3 (x+4) = 12 and 3 (x+1) = 4

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

no

Step-by-step explanation:

You can simplify them both.

3x+12=12 and 3x + 3 =4

make them both so they equal 0

3x=0  and 3x-1=0

no, theyre not equal since when they both equal 0, they are not the same equation

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Evaluate lim x=π/4(3x - tanx)​
Karo-lina-s [1.5K]

Answer:

 \lim_{x \to\frac{\pi }{4} } (3x-tanx) =  3(\frac{\pi }{4}  )

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that

         \lim_{x \to\frac{\pi }{4} } (3x-tanx)

  =  \lim_{x \to\frac{\pi }{4} } (3x) -  \lim_{x \to\frac{\pi }{4} }  tanx)

 = 3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )

=  3(\frac{\pi }{4} )+ 1 )

=  3(\frac{\pi }{4}  )

5 0
2 years ago
I’m having a hard time with this. Is this a typo by the teacher or should I actually be looking for a size?
Lemur [1.5K]

Step-by-step explanation:

There are 12 games in the population.  You need to use a random number generator to choose 2 of these games.

RandomSample[{1,2,3,4,5,6,7,8,9,10,11,12},2]

Let's say the first sample you get is {1,5}.  That corresponds to game times of 8 minutes and 7 minutes.  The mean game time for that sample is 7.5 minutes.  So the first row in your table would be:

\left[\begin{array}{ccc}Sample&List\ of\ Game\ Times&Mean\ Game\ Time\\1&8,7&7.5\end{array}\right]

5 0
3 years ago
Please solve this :)
Karolina [17]

Answer:

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8 0
3 years ago
Find values for c and d that make h(x) continuous.
rewona [7]

By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.

<h3>How to make a piecewise function continuous</h3>

According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:

2 · x = c · x² + d, for x = 1     (1)

4 · x³ = c · x² + d, for x = 2      (2)

Then, we have the following system of linear equations:

c + d = 2      (1b)

4 · c + d = 32     (2b)

The solution to this system of linear equations is c = 10 and d = -8.

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

4 0
2 years ago
What are the zeros of the polynomial function f(x)=x^3-2x^2-8x?
Rashid [163]

Answer: -2, 0, 4

Set the equation equal to zero.

x³ - 2x² - 8x = 0

Factor out x in the equation, since all the terms (x³, -2x², and -8x) are divisible by x. You can check your accuracy using the Distributive Property.

x(x² - 2x - 8) = 0

Factor out the polynomial. To do this, find two numbers that multiply to get the last term, -8, and add together to get the middle term, -2. In this case, those two numbers are -4 and 2 (-4 × 2 = -8 and -4 + 2 = -2). Don't forget about the x that was factored out before!

x(x - 4)(x + 2) = 0

Set each factor equal to zero and solve for x. The factors in the equation are x, (x - 4), and (x + 2).

  • x = 0
  • (x - 4) = 0

        x = 4

  • (x + 2) = 0  

        x = -2

The zeros of the polynomial function are -2, 0, and 4.

3 0
3 years ago
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