Someone please help ASAP will give brainliest

Mathematics

1 answer:

Roman55 [17]3 years ago

6 0

Answer:

sqrt(ac)

±---------- = b

Step-by-step explanation:

a= 9b^2 c

Divide each side by 9c

a/9c = 9b^2c / 9c

a/9c= b^2

Take the sqrt of each side

±sqrt(a/9c) = sqt(b^2)

Remember that sqrt (xy) = sqrt(x) sqrt(y)

±sqrt(a/c) * 1/ sqrt(9) = b

±sqrt(a) 1

--------- * ------ = b

sqrt(c) 3

Multiply by sqrt(c)/ sqrt(c)

±sqrt(a) sqrt(c)

--------- * ----------- = b

sqrt(c) 3sqrt(c)

±sqrt(ac)

---------- = b

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How do I solve this question?

zubka84 [21]

Answer:

$f(x) = \frac{108}{7} (\frac{7}{6})^x$ or $f(x) = 15.429(1.167)^x$

Step-by-step explanation:

No need for a calculator.

Assuming that the equation is in the form $y = ab^x$ , we can plug in points to get our equation. For ease, let's use (1,18) and (2,21). When plugging these points in, we get $18 = ab^1, 21 = ab^2$ . Now let's divide the equations to get rid of $a$ : $\frac{21 = ab^2}{18 = ab^1} = \frac{21}{18} = \frac{7}{6} = b$ . Now that we have $b$ , we can plug in the value we just calculated to solve for $a$ : $18 = a(\frac{7}{6} )^1$ , and solving for $a$ , we get $a = \frac{108}{7}$ .