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4 years ago

Divide. (5a^3x/3x^5)/(a^2/9x) Simplify your answer as much as possible!

Mathematics

1 answer:

VLD [36.1K]4 years ago

5 0

Answer:

The simplified expression is $\frac{15a}{x^3}$

Step-by-step explanation:

The given expression is

$\frac{\frac{5a^3x}{3x^5} }{\frac{a^2}{9x}}$

We change the middle bar to a normal division sign to obtain,

$=\frac{5a^3x}{3x^5}\div \frac{a^2}{9x}$

We multiply by the reciprocal of the second fraction to obtain,

$=\frac{5a^3x}{3x^5}\times \frac{9x}{a^2}$

We cancel out common factors to get,

$=\frac{5a}{x^3}\times \frac{3}{1}$

This simplifies to,

$=\frac{15a}{x^3}$

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Write a linear function f with the values f (0) =-1 and f (3)= -10

dmitriy555 [2]

Answer:

The linear function is $y = -3x -1$ .

Step-by-step explanation:

A linear function is given by the formula,

$y = (m)x + c$ , where m is the slope and c is the y intercept of function.

The following two points lie on the graph; (0,-1) and (3,-10)

Inserting this two points we get,

$-1 = c$

$-10 = (m)(3) + c$ ,

solving this two equations we get,

m = -3 and c= -1

Thus, the linear function is given by,

$y = -3x -1$

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Step-by-step explanation:

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3 years ago

A 450-pound circus tiger eats 15 pounds of meat per day. How many pounds of meat would you expect a 360-pound tiger to eat per d

navik [9.2K]

Hi :)

This kind of question is purely based upon proportionality. We are going to be using the cross product method to assess it.
First-hand, it can always help to write down the information that you do have, and the one that is missing.
Here;

450-pound tiger — > 15 pounds of meat
360-pound tiger — > ?? pounds of meat

The calculation you’ll want to use is the following:
360 x 15 / 450
The answer is 12 pounds.

Therefore, you would expect a 360-pound tiger to eat 12 pounds of meat per day.
I hope this helps! Have a nice day :)

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2 years ago

WHOEVER ANSWERS CORRECTLY AND FAST GETS BRAINLIEST!!!!!!!!!!!!!!!!!!!!

hammer [34]

Answer:

$r = 32,546.69 * 1.03^t$

Step-by-step explanation:

33,523.09/32,546.69 = 1.03

34,528.78/33,523.09 = 1.03

35,564.65/34,528.78 = 1.03

The common ratio between values is 1.03.

The initial value is 32,546.69

The is exponential growth with initial value 32,546.69 and a growth factor of 1.03.

Equation:

$y = a(1 + i)^t$

$r = 32,546.69 * 1.03^t$

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4 years ago