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Sladkaya [172]
3 years ago
13

Plot the line 2x + 3y < 9

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

Step-by-step explanation:

2x+3y <9

-3y 3

2x<6

2 2 = x<3

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Please solve the problem with steps
Debora [2.8K]

Answer:

Infinite series equals 4/5

Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

\frac{3^{n-1}-1}{6^{n-1}} =\frac{3^{n-1}}{6^{n-1}} -\frac{1}{6^{n-1}} =(\frac{1}{2})^{n-1} -\frac{1}{6^{n-1}}

The first one: (\frac{1}{2})^{n-1} is a geometric sequence of first term (a_1) "1" and common ratio (r) " \frac{1}{2} ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{2} } =\frac{1}{\frac{1}{2} } =2

The second one: \frac{1}{6^{n-1}} is a geometric sequence of first term "1", and common ratio (r) " \frac{1}{6} ". Again, since the common ratio is smaller than one, we can find its infinite sum:

Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{6} } =\frac{1}{\frac{5}{6} } =\frac{6}{5}

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 2-\frac{6}{5} =\frac{10-6}{5} =\frac{4}{5}

8 0
3 years ago
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What is 0.2 as a fraction
Vikentia [17]
It’s 2/10 there you go since there’s no 0 infort of the 2 it’s always a 10
3 0
3 years ago
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The figures shown are similar. What is the scale factor? Two similar pentagons, one pentagon with base 9 and one pentagon with b
Oksi-84 [34.3K]
9:12=\frac{9}{12}=\frac{9:3}{12:3}=\boxed{\frac{3}{4}}\leftarrow\boxed{d.}
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A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was c
Verdich [7]

3/4

Step-by-step explanation:

If you cut a whole pie into two you get two (2) ½ pieces

1 ÷ 2 = ½

When you cut the two ½ pieces into two you get four (4) ¼ pieces;

½ ÷ 2 = ¼

When you cut the four ¼ pieces into two you get 8 1/8 pieces;

¼ ÷ 2 = ¹/8

Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;

8 – 2 = 6

The portion of the pie left therefore is;

6 * ¹/8 pieces

= ⁶/8

= ³/4

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5x + y = -5<br> I need to graph this pls help
Lisa [10]
Hope this helps
Pls mark me brainliest

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