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2 years ago

Question will be in the picture, thanks in advance!

Mathematics

1 answer:

11111nata11111 [884]2 years ago

7 0

Answer:

($0.30,$[2.42])

Step-by-step explanation:

Please, see the attached files.

Thanks.

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What is the best estimate for the value of the expression?

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Answer: 8 is the anwser

Step-by-step explanation:

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3 years ago

Which line segment is a diameter of circle L?

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3 years ago

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In your own words, explain when a quadratic equation will have no real

zubka84 [21]

Answer:

If a quadratic function is not discriminating at 0, it does not have any real roots and it does not intersect the x-axis in the parabola it serves.

Step-by-step explanation:

The equation has no true solution if the discriminant is less than 0.

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2 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

Arithmetic Sequence

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

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2 years ago

Line segment BC will be reflected over line m to form line segment BC. Which of the following statements must be true?

Len [333]

Answer:

Option A

Step-by-step explanation:

To reflect line segment BC over line m, BB' will be perpendicular to the line m

and line m bisector of BB'.

So, the correct answer is option A

A) Line m is the perpendicular bisector of line segment BB' and the line segment CC'

Option b is wrong , it is impossible for the line B'C' to be perpendicular to line BC. B'C' is the image of BC.

Both option c and d is wrong because the perpendicular distance from b to the line m not equal to the perpendicular distance from c to the line m.

7 0

3 years ago