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Ratling [72]
2 years ago
15

HELP PLEASE! IM STUCK--

Mathematics
1 answer:
belka [17]2 years ago
3 0

9514 1404 393

Answer:

  A (first choice), F (last choice)

Step-by-step explanation:

Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.

The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.

These two forms can be converted to each other like this:

  explicit formula   ⇔   recursive formula

  A(n)=A_1+d(n-1)\quad\Leftrightarrow\quad\begin{cases}a_1=A_1\\a_n=a_{n-1}+d\end{cases}

The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...

  • the first term
  • the common difference
  • the other formula for the same sequence

__

Here, the given function tells you ...

  • A₁ = 5
  • d = +4

This means the formulas that describe the same sequence are ...

  \square\ \begin{cases}a_1=5\\a_n=a_{n-1}+4\end{cases}\\\\\square\ A(n)=5+4(n-1)

_____

<em>Additional comment</em>

The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.

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Answer:

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Step-by-step explanation:

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marta [7]

Fractions can be converted to decimals and vice versa.

<em>The decimal equivalent  of the fraction of months with 31 days is 0.583</em>

Given:

<em />Total = 12<em> --- months in a year</em>

<em />Months = 7<em> --- months with 31 days</em>

<em />

The fraction (n) of months with 31 days is:

n = \frac{Months}{Total}

So, we have:

n = \frac{7}{12}

The decimal equivalent is:

n = 0.583

Hence, (c) is correct.

Read more about fractions and decimals at:

brainly.com/question/548650

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3 years ago
A construction crew is lengthening a road. The road started with a length of 59 miles, and the crew is adding 2 miles to the roa
Illusion [34]
The answer is L = 59 + 2(d). If we plug in our numbers, we will get L = 59 + 2(32). 2*32 is 64, and if you add 59 you get 123 miles.

This isn’t apart of the question, but 59 would be the y-intercept. 2 miles per day (2/1) is the slope.
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3 years ago
How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss
Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

We have a polynomial function:

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)

Using the zero product property:

\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0

After solving:

x = -1, x = -0.853, and x = 0.418 (using the graph method)

Thus, there are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

Learn more about Polynomial here:

brainly.com/question/17822016

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