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Mkey [24]
3 years ago
14

What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0

Answer:

83

Step-by-step explanation:

The nth term is   an=3n−7 .

30*3=90

90-7=83

so the 30th term would be 83

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Ksivusya [100]

Answer:

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Step-by-step explanation:

8 0
2 years ago
Enter the values for m, n, and p that complete the difference:
inessss [21]

Answer:

p = 2

n = 14

m = 3

Step-by-step explanation:

In order to be able combine (either add or subtract) rational expressions we need to write them with a common (similar) denominator. For that reason we first find the Least Common Denominator of both fractions, that way understanding how to express the two fractions using equivalent fractions with like denominator that can be combined.

We see that the denominator of the first fraction contains the factor "x", therefore "x" has to be a factor of that least common denominator.

We also see that the second fraction  contains "2" as a factor, therefore 2 has to be a factor as well for our Least Common Denominator (LCD)

So the LCD we need is the product: 2*x which we write as 2x.

Now we write the first fraction as an equivalent one but with denominator "2x" by multiplying top and bottom by 2 (and thus not changing the actual value of the fraction): \frac{7}{x} =\frac{7*2}{x*2} =\frac{14}{2x}

Next we do the same with the second fraction, this time multiplying top and bottom by the factor "x":

\frac{3}{2} =\frac{3x}{2x}

Now that both fractions are written showing the same denominator , we can combine them as indicated:

\frac{7}{x} -\frac{3}{2} =\frac{14}{2x} -\frac{3x}{2x} =\frac{14-3x}{2x}

This expression gives as then the values for the requested coefficients.

p = 2

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5 0
3 years ago
Read 2 more answers
Please help <3
Aleksandr [31]

Answer:

x =3

Step-by-step explanation:

3(4x + 4) = 2(5x+9) - 12

First step is to open the brackets by multiplying. It becomes

3×4x + 3×4 = 2×5x + 2×9 -12

12x + 12 = 10x + 18 - 12

Collecting like terms on the right hand side and left hand side of the equation, it becomes

12x -10x = 18 -12 -12

2x = -6

Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes

2x = -6

x = -6/2 = -3

Checking

3(4×-3 + 4) = 2(5×-3+9) - 12

-24 = -12-12= -24

So x = -3

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