Which statement represents the simplified form of the given equation and correctly describes the solution?

Mathematics

1 answer:

exis [7]2 years ago

5 0

Hence the correct answer is:

D. 6=6; infinite real solutions

Further explanation:

In order to find the simplified form of the equation we have to isolate the variable on one side of the equation.

Given equation is:

$9x+6=3(3x+2)$

Taking 3 common on left hand side

$9x+6=9x+6\\9x-9x+6=6\\6=6$

The equation has infinite real solutions.

Hence the correct answer is:

D. 6=6; infinite real solutions

Keywords: Solution of equation, infinite solutions

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Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)

bogdanovich [222]

We have $y=ab^{x}$

Plug in $(0, 4)$ :
$4=ab^{0}$ ⇒ $4=a$
So we now have $a$

Plug in $(3, 95)$ :
$95=4b^{3}$
⇒ $b^{3}=\frac{95}{4}$
⇒ $b=\sqrt[3]{\frac{95}{4}}$
which is approximately 2.874

So we get
$y=4(\sqrt[3]{\frac{95}{4}})^{x}$
or, in decimal form,
$y=4*2.874^{x}$