Evaluate each polynomial when a=3, b=5 , c=10.

1 answer:

5 0

Answer:

15; -580; 936

Step-by-step explanation:

1. 10a-15=10*3-15=15

2. -5b^3+7b+10=-5*5^3+7*5+10=-580

3. 6abc+4a^2=6*3*5*10+4*3^2=936

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olga_2 [115]

Answer:

10.4 cm

Step-by-step explanation:

The volume (V) of a pyramid is calculated using

V = $\frac{1}{3}$ area of base × height (h)

area of square base = 6² = 36, thus

$\frac{1}{3}$ × 36h = 120

12h = 120 ( divide both sides by 12 )

h = 10 cm

To find the slant height (s) consider the right triangle from the vertex to the midpoint of the base and from the midpoint of base to the side.

That is a right triangle with hypotenuse s and legs 10(h) and 3 (midpoint of the base )

Using Pythagoras' identity then

s² = 10² + 3² = 100 + 9 = 109

Take the square root of both sides

s = $\sqrt{109}$ ≈ 10.4 cm

3 0

3 years ago

kifflom [539]

The given polynomial function has 1 relative minimum and 1 relative maximum.

<h3>What are the relative minimum and relative maximum?</h3>

The relative minimum is the point on the graph where the y-coordinate has the minimum value.
The relative maximum is the point on the graph where the y-coordinate has the maximum value.
To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)

<h3>Calculation:</h3>

The given function is

f(x) = 2x³ - 2x² + 1

derivating the above function,

f'(x) = 6x² - 4x

At slope = 0, f'(x) = 0 (for maximum and minimum values)

⇒ 6x² - 4x = 0

⇒ 2x(3x - 2) = 0

2x = 0 or 3x - 2 = 0

∴ x = 0 or x = 2/3

Then the y-coordinates are calculated by substituting these x values in the given function,

when x = 0;