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3 years ago

9

use the rational root theorem to list all possible rational roots of the polynomial equation x^3-x^2-x-3=0. do not find the actu

al roots.

2 answers:

Korolek [52]3 years ago

7 0

Answer: -3, -1, 1, 3

Step-by-step explanation:

Allisa [31]3 years ago

5 0

None. <span>±</span> $p/q$ , <span>where </span><span>p</span><span> is a </span>factor<span> of the </span>constant<span> and </span><span>q</span><span> is a </span>factor<span> of the leading </span>coefficient<span>.</span>

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The volume of a conical pile of sand is increasing at a rate of 300πcm3/sec

lesya [120]

So using the formula for the volume of a cone:
r^2pi x h/3

The height is always 4 times the radius, so:
h=4r

Now putting the values into the original formula:

r^2pi x 4r/3

Now to see how much the radius increases per second:

r^2pi x 4r/3=300pi

r^2 x 4r/3=300

r^2 x 4r=900

r^2 x r=225

r^3=225

The radius increases by the cubic square root of 225 cm per second.

f(s)= 225^1/3 cm

7 0

2 years ago

There are 5 people in Edgar's family. They have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin

kvv77 [185]

Answer:

15 because 3 x 5 equals 15

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly

meriva

Answer:

2

Step-by-step explanation:

well if you get all of the fractions into percentage form they will be 20%for green 8% for blue so in turn it would mean 8% of 15 is 2

3 0

3 years ago

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

<u><em>Verify each point</em></u>

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

Help me solve this equation 3x-7=4x

Sauron [17]

Hey!

Let's write it, $3x-7=4x$
Add $7$ to both sides,
$3x-7+7=4x+7$
$3x=4x+7$
Subtract $4x$ from both sides.
$3x-4x=4x+7-4x$
$-x=7$
Since we don't want a negative variable, we have to divide both sides by $-1$ .
$\frac{-x}{-1}=\frac{7}{-1}$
Our answer would be,
$x=-7$

Thanks!
-TetraFish

4 0

3 years ago

Read 2 more answers