I just need you to answer 4 questions for me...

Factor x^2-25 and x^2-10x+25. <br><br> 15 points

labwork [276]

(x+5)(x-5) (cancels out the middle Nx factor)

(x+5)(x+5)

6 0

3 years ago

Julio is training for a swimming race. The first part of his training schedule is shown. Session 1 2 3 456 Swimming distance (mi

Volgvan

An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).

The explicit formula for an arithmetic sequence is $A_n=a+(n-1)d$ , where a is first term of sequence, d is the common difference between consecutive terms.

A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.

$0.55-0.25=0.30$

$0.85-0.55=0.30$

$1.75-1.45=0.30$

Therefore, we can see that Julio's training schedule is an arithmetic sequence.

B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.

$A_n=a+(n-1)d$

Let us substitute our given information in above formula.

$2.95=0.25+(n-1)0.30$

$2.95=+0.25+0.30n-0.30$

$2.95=0.30n-0.05$

$2.95+0.05=0.30n$

$3.00=0.30n$

$n=\frac{3.00}{0.30}=10$

We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.

Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.

6 0

3 years ago

It is 9 a.m. in Los Angeles. What time is in Rio de Janeiro?

jok3333 [9.3K]

The answer should be 2 p.m. .

7 0

3 years ago

Given the sequence below, and that sequence has a domain of n 2 1, find the fifth

solmaris [256]

The fifth term of f(n) = n² - 3 is 22

$\texttt{ }$

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

$\texttt{ }$

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

$\texttt{ }$

<u>Given:</u>

f(n) = n² - 3

<u>Asked:</u>

f(5) = ?

<u>Solution:</u>

$\texttt{for } n \geq 1 :$

$f(n) = n^2 - 3$

$f(5) = 5^2 - 3$

$f(5) = 25 - 3$

$f(5) = \boxed{22}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

7 0

4 years ago

I need halp... QUESTION: tell weather the two figures are congruent. Explain your reasoning

Anastaziya [24]

number 3 is not congruent but number 4 is because #4 is basically the same thing but you cant really multiply something to question #3 to get those answers.

5 0

3 years ago

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