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3 years ago

List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = x5 - 3x2 + 3x + 14

1 answer:

4 0

$f(x) = x^5 - 3x^2 + 3x + 14\\\\14\to\{\pm1;\ \pm2;\ \pm7;\ \pm14\}\ and\ \left\{\pm\dfrac{1}{14};\ \pm\dfrac{1}{7}; \pm\dfrac{1}{2}\right\}$

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Elanso [62]

Answer:

Step-by-step explanation:

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3 years ago

It took 2 hours to hike 4 2/3 miles what is the average speed in miles per hour

snow_lady [41]

2 1/3 an hour.

4 2/3 DIVIDED BY 2

=2 1/3

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3 years ago

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24 less than 4 times a number is 60. what is the number?

kondaur [170]

Hey there! :D

Make an algebraic expression.

Let the 'number' equal x.

4x-24= 60

Add 24 on both sides.

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3 years ago

90 POINTS: What is the slope of the line in the correct graph? What is the slope of the line in the incorrect graph? Are the slo

galben [10]

Answer:

Correct graph

$slope \frac{(175 - 105)}{(9 - 2)} \\ = \frac{70}{7} \\ = 10$

Incorrect graph

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3 years ago

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The figure is made up of a hemisphere and a cylinder.

Goryan [66]

Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$
V (volume) = ?

Solving:(Cylinder volume)
 $V = h* \pi *r^2$
$V = 8*3.14*5^2$
$V = 8*3.14*25$
$\boxed{ V_{cylinder} = 628\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4 * \pi * \frac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3} 
$

Formula: (Volume of the hemisphere)
 $V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$

Solving:
$V = \frac{1}{2} * 4 * \pi * \frac{r^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{5^3}{3}$
$V = \frac{1}{2} * 4 * 3.14 * \frac{125}{3}$
$V = \frac{1570}{6}$
$\boxed{V_{hemisphere}\approx 261.6\:cm^3}$

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
$\boxed{\boxed{Volume\:of\:the\:figure = 1517.6\:cm^3}}\end{array}}\qquad\quad\checkmark$

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3 years ago

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