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2 years ago

6

If f(x) = 3x3 + 5x2 + x - 1, what would be the P/Q list of possible rational roots?

1 answer:

aivan3 [116]2 years ago

4 0

Answer:

1,-1,3,-3

Step-by-step explanation:

your P is the first number or the number with the highest exponent, your Q is the last number or the number with no variables. So you make a list of what multiplies to your P's and what multiplies to your Q's and you divide your P list by Q. So 3 is made by -1,1,-3,3 and -1 is made by -1,1. So dividing that you get your list of -3,-1,1,3

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sergey [27]

Step-by-step explanation:

1. making the equation:

shoes = x

shirts = y

175 = x + 3y

x = 4y

2. graph it (I'm using desmos)

the green line is for 175 = x + 3y and the purple one is for x = 4y

3. find the price

x = 4y

175 = 4y + 3y

175 = 7y

y = 175/7 = $25

price of the shirt = $25

x = 4y = 4*25 = $100

price of a pair of shoes = $100

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3 years ago

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

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Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

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Apply by parts integration

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$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

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Svetllana [295]

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Step-by-step explanation:

(16/100) × 25

= 4

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3 years ago

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Rina8888 [55]

Answer:

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Step-by-step explanation:

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=35a^3c^3/ 7a^2c

Recall that

a^x/a^y = a^x-y

Hence

35a^3c^3/ 7a^2c = 5a^3-2c^3-1

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b/7a^2c = (b * 5ac^2)/(7a^2c * 5ac^2)

Recall that

a^x * a^y = a^x+y

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