All real numbers so the answer is D
Answer:
x = -5/2
Step-by-step explanation:
3 ^ ( 4x-5) = (1/27) ^( 2x+10)
Rewriting 1/27 as 3^-3
3 ^ ( 4x-5) = (3^-3) ^( 2x+10)
We know that a^b^x = a^(b*c)
3 ^ ( 4x-5) = (3) ^(-3*( 2x+10))
3 ^ ( 4x-5) = (3) ^( -6x-30)
The bases are the same so the exponents are the same
4x-5 = -6x-30
Add 6x to each side
10x -5 = -30
Add 5 to each side
10x -5+5 = -30+5
10x = -25
Divide each side by 10
10x/10 = -25/10
x = -5/2
For the given sequence we have the formula:
Sₙ = 1 + (n - 1)*2
The 50th square will have 99 shaded squares.
<h3 /><h3>
How many shaded squares are on the n-th square?</h3>
Here we have a sequence:
The first square has 1 shaded squares.
the second square has 3 shaded squares.
The third square has 5 shaded squares.
And so on.
Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:
Sₙ = 1 + (n - 1)*2
Where S is the number of shaded squares and n is the number of the figure.
Then the 50th square will have:
S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99
Learn more about sequences:
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The second equation gives

, but

for any real

, so we can ignore this equation.
This leaves us with

where

is any integer.
Answer:
1, 2
Step-by-step explanation: