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choli [55]
3 years ago
12

Answer the following question regarding the table below.

Mathematics
2 answers:
sveta [45]3 years ago
4 0

<u>40 is shown 3 times, 41 is shown 3 times, 42 is shown 3 times, and 43 is shown 3 times. </u>

I would put as the answer that <u>all the numbers are equally shown the same amount of times.  </u>

AlexFokin [52]3 years ago
4 0
Smalles the smaller is 40
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What are the x-coordinates of the solutions to this system of equations?
Vikentia [17]
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3 years ago
Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

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3 years ago
What feature do plants have that provide structure and form?
Nostrana [21]
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8 0
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Write 8.92x10^9 in standard notation.
Mandarinka [93]
8920000000.
Since the problem is asking for a positive 10^9 power, the final number with be greater than 8.92
7 0
3 years ago
The question is 8 * 24 - 1/10​
riadik2000 [5.3K]

Answer:

191.9

Step-by-step explanation:

(8 × 24) - (1 ÷ 10)=191.9

5 0
3 years ago
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