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NISA [10]
3 years ago
5

Indicate a general rule for the nth term of this sequence. 12a, 15a, 18a, 21a, 24a, . . .

Mathematics
1 answer:
Vikki [24]3 years ago
3 0
It is an arithmetic progression. Note the general rule for AP sequences:

a(n) = a(1) + (n - 1)d
a(1) = 12a (first term)
d = 3a (common difference)

General rule: a(n) = 12a + (n - 1)*3a
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The line equation in slope-intercept form is given by

y=mx+b

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Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have

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and by dividing both sides by 2, we get

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5 0
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Answer:Just did the usatestprep its D

3 0
3 years ago
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First one right gets BRAINLIEST!!<br><br> If f(x)=x²+2x-3 and g(x)=x²-9, find (f/g) 4 and (f+g)(4)
Rasek [7]

Answer:

3 and 28

Step-by-step explanation:

note (\frac{f}{g} )(x ) = \frac{f(x)}{g(x)}

\frac{f(x)}{g(x)}

= \frac{x^2+2x-3}{x^2-9}  and

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-------------------------------------------------------

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

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6 0
3 years ago
Window design. A triangular window on Ross camp's new scary boat has two sides that measure 87 centimeters 64 centimeter, respec
krek1111 [17]
Since the perimeter must not exceed 291.
Let the third side be x.

x + 87 + 64  < 291
x + 151 < 291.
x            < 291 -151.
x   <  140.      (First)

But for a triangle there is what is called the Triangle Inequality Theorem.  That given  the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.

So for this case.   87 and 64.

x  > ( 87 - 64).    x  > 23.
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       23  < x < 151  (second).

Combining First and second. Both must be satisfied.
So we have  a more accurate answer as:


23 < x < 140.      x is greater than 23 and x is less than 140.

x  could be    24, 25, 26, 27, ......, 139.  cm.

I hope this helps.
3 0
3 years ago
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Answer:

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