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Vikentia [17]
2 years ago
8

Given the function f(x) = -5x + 2, find the range ofly for x = -1, 0, 1.

Mathematics
1 answer:
cupoosta [38]2 years ago
7 0

Answer:

A

Step-by-step explanation:

f(-1)=7, f(0)=2, f(1)=-3

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3/22 + -1/11<br> Add this fraction
Mashcka [7]

You need to use a common denominator. The least common denominator of 11 and 22 is 22.

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Fill in table and find slope. Please answer ASAP and show work please!
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3 years ago
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
3 years ago
4 x 2/4 as a mixed fraction
aliina [53]

4 x 2/4

2/4 can be reduced to 1/2

Now you have 4 x 1/2

Multiply 4 by 1 then divide by 2:

4 x 1 = 4

4/2 = 2

The answer is 2

5 0
2 years ago
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