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nataly862011 [7]
3 years ago
6

Which equation is equivalent to 2^4x = 8^x-3

Mathematics
2 answers:
Masteriza [31]3 years ago
8 0

Answer:2^4x = 8^x-3

Step-by-step explanation:Answer is D

VLD [36.1K]3 years ago
5 0

Answer:

<h2>x = -9</h2>

Step-by-step explanation:

8=2^3\\\\8^{x-3}=(2^3)^{x-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\8^{x-3}=2^{3(x-3)}\qquad\text{use the distribtutive property}\ a(b+c)=ab+ac\\\\8^{x-3}=2^{3x-9}\\\\\text{Therefore}\\\\2^{4x}=8^{x-3}\Rightarrow2^{4x}=2^{3x-9}\iff4x=3x-9\qquad\text{subtract}\ 3x\ \text{from both isdes}\\\\4x-3x=3x-3x-9\\\\x=-9

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Step-by-step explanation:

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3 years ago
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CaHeK987 [17]
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 We can confirm it by substituting values in the equation.
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3 0
3 years ago
You sell 3 hamburgers at $2.10 each plus 0.38 tax. A customer gives you a $10.00 bill. How much change does he get?
azamat
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7 0
3 years ago
Read 2 more answers
if alpha and beta are zeroes of the quadratic polynomial f(x) = x2-x-2 then find a polynomial whose zeroes are 2alpha + 1 and 2b
frosja888 [35]

Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

x^2-x-2

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is

\Large \boxed{\sf \bf \  \ x^2-4x-5 \ \ }

Thank you.

5 0
3 years ago
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Lubov Fominskaja [6]

Answer:

u have to use the almighty formula

7 0
3 years ago
Read 2 more answers
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