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MaRussiya [10]
4 years ago
8

Determine the type and number of solutions of x^2 + 10x − 25 = 0.

Mathematics
1 answer:
Vitek1552 [10]4 years ago
5 0

Answer:

There is exactly 1 solution and it is a double root.

Step-by-step explanation:

To find this, factor the equation and solve.

x^2 + 10x - 25 = 0

(x - 5)(x - 5) = 0

Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.

x - 5 = 0

x = 5

x - 5 = 0

x = 5

Because there are two of the exact same answer, we know it to be a double root.

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Step-by-step explanation: hope this helps :)

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3 years ago
A whAt the theoretical probability
julsineya [31]

Answer:

a.  \frac{1}{6}

b.  \frac{67}{450}

Step-by-step explanation:

Theoretical probability is what we expect to happen and experimental probability is what actually happens.

a. In theoretical probability, it doesn't matter what happened in the past. So basically we want to know the probability of rolling a 3 when a number cube is rolled.

There are 6 faces (from 1 to 6) in a number cube. And there is 1 "3". So the probabilty of rolling a 3 is:

1/6

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Hence the experimental probabilty of rolling a "3" is:

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6 0
4 years ago
Given sample set A= {1,2,3,4,5} how many items are in the complement of set B if set B= all numbers greater than 2? OPTIONS : 3
Ostrovityanka [42]

Answer:

2

Step-by-step explanation:

It sounds like we are pretending A is the universe.  The only numbers in our world are 1,2,3,4, and 5.

You are given B is all numbers greater than 2.

The complement of B would all the elements not listed in B.

The elements in B are 3,4, and 5, since we are looking for numbers greater than 2 in our world of numbers above.

The elements not in B are 1 and 2.

So B complement is {1,2}.

There are 2 elements in our set for B complement. The elements that were counted were just the element 1 and the element 2.

6 0
3 years ago
The graphs below have the same shape. f(x) = x^2 what is the equation of the graph of g(x)?
Yakvenalex [24]

Answer:

Answer: OPTION B

Step-by-step explanation

By definition, the parent function is the simplest form of  a function. In this case, you have the quadratic parent function

As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:

Therefore, the equation of the function g(x) is:

6 0
3 years ago
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