Which term in the arithmetic sequence 11, 4,-3 . . . is -129?

Mathematics

1 answer:

telo118 [61]2 years ago

4 0

Answer:

23rd term

Step-by-step explanation:

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"On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wi

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0.25 inches represents 1 mile

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Find 1 inch:
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1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles

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Find 3.75 inches:
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1 inch represents 4 miles
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3.75 inches represent 15 miles

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Find 2.25 inches:
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1 inch represents 4 miles
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Find Area:
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Area = Length x Width
Area = 15 x 9
Area = 135 miles²

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Answer: 135 miles²
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Sofia measures the length of her car as 16 feet. What is the greatest possible error? ______ feet What is the margin of error? _

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Answer:

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Step-by-step explanation:

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2 years ago

Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.