Which equations represent exponential functions? Select all that apply.

Mathematics

1 answer:

maks197457 [2]3 years ago

5 0

Answer:

${4}^{x}$

$7 \times {3}^{x}$

Step-by-step explanation:

A exponential equation is represented by

$y = ab {}^{x}$

where a is the initial value, and b is the constant factor.

3x^2 is wrong becuase that represent a quadratic
6x-1 is wrong becuase that represent a linear equation

The answer 4^x and 7×3^x are right

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vodomira [7]

Step-by-step explanation:

$\sqrt{ x^{2}-10x+25}+25+12\sqrt{x} =15\sqrt{x} \\ \\ \therefore \: \sqrt{ x^{2}-10x+ {5}^{2} }+25 =15\sqrt{x} - 12\sqrt{x}\\ \\ \therefore \: \sqrt{( x - 5)^{2}}+25 =3\sqrt{x} \\ \\ \therefore \: x - 5+ 25 = 3 \sqrt{x} \\ \\ \therefore \: x + 20 = 3 \sqrt{x} \\ \\ squaring \: both \: sides \\ (x + 20)^{2} = ( {3 \sqrt{x} })^{2} \\ \therefore \: {x}^{2} + 40x + 400 = 9x \\ \therefore \: {x}^{2} + 40x + 400 - 9x = 0 \\ \therefore \: {x}^{2} + 31x + 400 = 0 \\$