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3 years ago

If 9x + 2a =ac - bx, then x equals

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer: $x=\bold{\dfrac{a(c-2)}{9+b}}$

Step-by-step explanation:

9x + 2a = ac - bx

9x = ac - bx - 2a subtracted 2a from both sides

9x + bx = ac - 2a added bx to both sides

x(9 + b) = a(c - 2) factored out x from the left and a from the right

$x=\large\boxed{\dfrac{a(c-2)}{9+b}}\\$ divided both sides by 9+b

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

mars1129 [50]

The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
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a1=1
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we want to find $S_{10}$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_{10}=\frac{1(1-2^{10})}{1-2}$
$S_{10}=\frac{(1-1024}{-1}$
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2 years ago

Read 2 more answers