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inn [45]
3 years ago
15

PLEASE HELP ASAP! Solve the equation. Show all your work. Round your answers to four decimal places. Make sure you solve

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
6 0

Answer:

  x ≈ 1.9087

Step-by-step explanation:

We don't know what methods you learned in class, but here's one way to solve the equation.

Make x the exponent of a constant:

  5^(x+2) = 3^(3x)

  (5^x)(5^2) = (3^3)^x

  25(5^x) = 27^x

Put the powers all on one side of the equation and everything else on the other side.

  25 = (27^x)/(5^x) = (27/5)^x = 5.4^x

Take logarithms.

  log(25) = x·log(5.4)

  x = log(25)/log(5.4)

  x ≈ 1.9087

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___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
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          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
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  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
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