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3 years ago

243^-y=(1/243)^3y*9^-2y a.) y=-1 b.) y=0 c.) y=1 d.) no solution

Mathematics

2 answers:

allochka39001 [22]3 years ago

8 0

$243^{-y}=(\frac{1}{243})^{3y}\times 9^{-2y}$ has y = 0 as a solution.

Selection B is appropriate.

blondinia [14]3 years ago

7 0

Answer:

b.) y=0

Step-by-step explanation:

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

morpeh [17]

Hey there!

Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0

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Explanation :

Quadratic formula : ax² + bx + c = 0 where a ≠ 0

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▪️ (1)

$x_1 = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x_1 = \frac{ - 2 - \sqrt{36} }{2(1) } \\ \\ x_1 = \frac{ - 2 - 6}{2} \\ \\ x_1 = \frac{ - 8}{2} \\ \\ \blue{\boxed{\red{x_1 = -4}}}$

▪️ (2)

$x_2 = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \\ x_2 = \frac{ - 2 + \sqrt{36} }{2(1)} \\ \\ x_2 = \frac{ - 2 + 6}{2} \\ \\ x_2 = \frac{4}{2} \\ \\ \red{\boxed{\blue{x_2 = 2}}}$

>> Therefore, your answers are x = -4 or x = 2.

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