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3 years ago

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The largest number in a series of consecutive even integers is w. If the number of integers is n, what is the smallest number in

terms of w and n?A. w– 2nB. w–n + 1C. w– 2(n– 1)D. n– 6 + wE. w – n/2

1 answer:

Reika [66]3 years ago

5 0

Answer:

C. w–2(n–1)

Step-by-step explanation:

One way to think of this is that the smallest is the n-th term of an arithmetic sequence with w as the first term and -2 as the common difference. The formula for the n-th term is ...

an = a1 + d(n -1)

Filling in the given values, we have ...

smallest number = w -2(n -1) . . . . . matches choice C

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alexandr402 [8]

Answer:

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Step-by-step explanation:

100-50+4=50+4

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What is 7/12 wrote in simplest form

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So the answer is "it's already in simplest form"

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Umnica [9.8K]

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Step-by-step explanation:

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3 years ago

I don't know what to do. This is about odd and even functions.

Alexxandr [17]

Answer:

C.

Step-by-step explanation:

We are given $f,g$ are odd which means:

$f(-x)=-f(x)$

$g(-x)=-g(x)$

We can tell if a function, $h$ , is even if $h(-x)=h(x)$ .

We can tell if a function, $h$ , is odd if $h(-x)=-h(x)$ .

So let's test your I,II,III.

We will be replacing x with -x to find out.

I.

$p(x)=f(g(x))$

$p(-x)=f(g(-x))$

$p(-x)=f(-g(x))$

$p(-x)=-f(g(x))$

$p(-x)=-p(x)$

So $p$ is odd.

II

$r(x)=f(x)+g(x)$

$r(-x)=f(-x)+g(-x)$

$r(-x)=-f(x)+-g(x)$

$r(-x)=-(f(x)+g(x))$

$r(-x)=-(r(x))$

$r(-x)=-r(x)$

So $r$ is odd.

III

$s(x)=f(x)\cdot g(x)$

$s(-x)=f(-x) \cdot g(-x)$

$s(-x)=-f(x) \cdot -g(x)$

$s(-x)=f(x) \cdot g(x)$

$s(-x)=s(x)$

So $s$ is even.

So I and II are odd and III is even.

C. is the answer.

8 0

3 years ago

Read 2 more answers

A new Youth Activity Center is being built in Hadleyville. The perimeter of the rectangular playing field is 430 yards. The leng

scoundrel [369]

Answer:

Width = 44 yards

Length = 171 yards

Step-by-step explanation:

Given:

<em>Perimeter of the rectangular field = 430 yards.</em>

Let:

<em>The length of the field be L</em>

<em>The width of the field be W.</em>

From the question:

<em>The length of the field is 5yards less than quadruple the width. This implies that;</em>

L = 4W - 5

But.

Perimeter (P) of a rectangle is given by:

P = 2(L + W) ---------------(i)

Substitute the values of P = 430, L = 4W - 5 and W into equation (i) as follows;

430 = 2(4W - 5 + W)

430 = 2(5W - 5)

430 = 10W - 10

10W = 430 + 10

10W = 440

Divide both sides by 10

W = 44

Therefore, the width of the field is 44 yards.

Remember that,

L = 4W - 5

[Now substitute W = 44]

L = 4(44) - 5

L = 176 - 5

L = 171

Therefore, the length of the field is 171 yards

8 0

3 years ago