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algol13
3 years ago
12

3. If x +4, 2x+5, and 4x +3 represent the first three terms of an arithmetic sequence, then find the

Mathematics
1 answer:
solong [7]3 years ago
8 0

first term = initial number

second term = initial number + common difference

third term = initial number + 2(common difference)

So...

2x+5-(x+4) = common difference

4x+3-(2x+5) = also common difference

2x+5-(x+4) = x+1

4x+3-(2x+5) = 2x-2

Because x+1=2x-2 we can solve for x.

x=3

So the sequence goes... 7,11,15...

19 is the fourth term

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If x=0 and x=3 then 3 divided by 2x to the second power minus 2 divided by x to the second power minus 3x
Afina-wow [57]
Answer: undefined in both cases.


Explanation:

1) Expression to evaluate:

\frac{3}{2x^2} - \frac{2}{x^2-3x}

2) You are asked to evaluate that expression for two different cases, x = 0 and x = 3.

3) First case: x = 0

The expression cannot be evaluated at x = 0, because the denominators (both  denominators) equal 0, and the division by 0 is not defined.

So, the answer is undefined.

4) Second case, x = 3

When you replace x = 3 you get:

\frac{3}{2x^2} - \frac{2}{x^2-3x} = \frac{3}{2(3^2)} - \frac{2}{3^2-3(3)} = \frac{3}{18} - \frac{2}{9-9}

Again, this result in a division by 0, so you conclude that it is undefined too.

8 0
2 years ago
There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter
andrew-mc [135]
From the statement given above, it can be deduced that the measure of the side of the figure is equal to 1 inch. Thus, the scale factor is 1:7. The ratio of their area should be 1:49. To get the area of the smallest figure, we simply divide the given area of the largest figure by 49, giving us the answer which is equal to 12 in². 
7 0
3 years ago
Read 2 more answers
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tia_tia [17]

Answer:

Step-by-step explanation:-

Triangle ABC lies on the

coordinate plane with vertices

located at A (8,6), B (2,-5), and

C (-5, 1). The triangle is

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2 years ago
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3 years ago
Terrence finished a word search in 3/4 the time it took frank. charlotte finished the word search in 2/3 the time it took terren
Luden [163]

Answer:

Charlotte-16

Step-by-step explanation:

In order to calculate the time that Charlotte took we just first have to calculate the time that Terrence took to finish the word search, that is done by multiplying the 32 minutes that Frank took by the three quartes that it took terrence:

Time=(\frac{3}{4}) (32)\\Time=(\frac{96}{4})\\Time=24

So now we know that It took terrence 24 minutes, and that Charlotte took two thirds of that time so we now just multiply that:

Time=(\frac{2}{3}) (24)\\Time=(\frac{48}{3})\\Time=16

6 0
3 years ago
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