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elixir [45]
3 years ago
9

Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +…And when you answer this question ive s

een a lot of people just adding it together and saying thats the answer and that is not how you do it
Mathematics
1 answer:
Phantasy [73]3 years ago
7 0
Its multiplied by three each time
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Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0
Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3  and  - 7

<u>Step-by-step explanation:</u>

Given equation:

                   x^{2} + 10 x + 21 = 0

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

                    (x + 3) (x + 7) = 0  (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

                     x = - 3, -7

Verify above values by multiply both terms,

                     (x + 3) (x + 7) = 0

                x^{2} + 7 x + 3 x + 21 = 0

                x^{2} + 10 x + 21 = 0 (so values obtained from factor method are correct)

Or, can use quadratic formula, for a x^{2} + b x + c=0, the solutions are given by:

                      x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

                     x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}

                     x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}

So,

When  x=\frac{-10+4}{2}=\frac{-6}{2}=-3

When x=\frac{-10-4}{2}=\frac{-14}{2}=-7

Hence, the values for ‘x’ are - 3 and - 7

7 0
3 years ago
A study is run to investigate the association between flower color and fragrance in wild azaleas found in the Great Smoky Mounta
RoseWind [281]

Answer:

The answer is 0.1935

Step-by-step explanation:

Solution

From the question given, we will find the probability that a randomly selected azalea has no fragrance or is not colored

Now,

p (Fragrance, not colored)

Thus,

p (Fragrance, not colored)/ p (Not colored)

so,

12/62 = 0.1935

Note: Kindly find an attached copy of the complete question and the inputted values.

7 0
3 years ago
Mr. Perez brought his daughter and her friends to
Vitek1552 [10]

Answer: $6.25

Step-by-step explanation:

   First, we will find out how much money was spent on tickets.

$60 - $28.75 = $31.25

   Now, we will divide the money spent on tickets by the number of tickets bought. This will give us the answer to your problem.

$31.25 / 5 = $6.25

      Each ticket cost $6.25.

4 0
2 years ago
Hi guys can you help me evaluating expressions <br><br> Please
EastWind [94]

26.) 3(2)² - 8(-3)²

= 3*4 - 8 + 9

= 12 - 8 + 9 = 13

27.) I 7 - 4(2) I

7 - 8 = -1, but  since this is absolute value, which is a number's distance from zero, your answer for 27 would be a positive one.

28.) (-2)² + 2(-3 * 1)

= 4 + 2(-3)

= 4 + (-6) = 4 - 6 = -2

29.) 7(-4)² + 5 / 4(1) - (-5)

=7 * 16 + 5 / 4 + 5

= 112 + 5 / 9 = 117/9 = 13

30.) Product: the result of a multiplication problem

Increased by: multiplied by

3(n * 7)

31.) 2n - 1

5 0
3 years ago
A map of a city shaped like a rectangle is given below on a grid. In 2012, there were 570 people per square kilometer) living in
Ksivusya [100]
570 were in the population in 2012
3 0
3 years ago
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