2/3 as a fraction in simplest form

Mathematics

1 answer:

Feliz [49]4 years ago

7 0

2/3 is simplest form. You cannot divide any more to find the simplified form.

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Find the average rate of change of g(x) = 4x3 + 3 from x = – 3 to x = 4

Lostsunrise [7]

Answer:

Step-by-step explanation:

g(-3) = 4(-3)^3 + 3 = -105

g(4) = 4(4)^3 + 3 = 259

AROC = $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ = $\frac{259 - (-105)}{4 - (-3)}$ = 52

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3 years ago

Designer Dolls, Inc. found that the number N of dolls sold varies directly with their advertising budget A and inversely with th

Travka [436]

Answer:

Step-by-step explanation:

Direct Variation takes the form $A = kB$

Inverse Variation takes the form $A=k(\frac{1}{B})$

Where A and B are the 2 variables associated and k is the proportionality constant.

Since number of dolls [N] varies directly with advertising budget [A], in our equation, A should go in the numerator and since number of dolls [N] varies inversely with price of dolls [P], P should go in the denominator.

Thus we can write our equation as:

$N=k(\frac{A}{P})$

Solving this equation for k given the information "The company sold 5200 dolls when $26,000 was spent on advertising and the price of a doll was set at $30":

$N=k(\frac{A}{P})\\5200=k(\frac{26,000}{30})\\5200=k(866.67)\\k=\frac{5200}{866.67}=5.99$