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Mathematics

1 answer:

AleksandrR [38]3 years ago

6 0

Answer:

its c

Step-by-step explanation:

why do I need to explain

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He polynomial of degree 5, p ( x ) p(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 x=4 and x = 0 x=0, and a

noname [10]

Root of x = 4 means (x - 4) is a factorMultiplicity of two means that (x - 4) is used twice root of x= -4 means that (x+ 4) is a factormultiplicity of 1 means it is used once so y = a (x-4) (x-4) (x + 4)y = a (x^3 - 4x2 - 16x + 64)
Thus, any polynomial with these zeroans d as a minimum these multiplicities will be a multiple (scalar or polynomial) of this P(x).

3 0

4 years ago

A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure

notsponge [240]

<h2>Volume of a Prism</h2>

To find the volume of a prism, we can use the following formula:

$V=base\hspace{3}area*height$

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

$A=lw$ ⇒ where <em>l</em> is the length and <em>w</em> is the width

<h2>Solving the Question</h2>

We're given:

V = 4352 ft³
<em>l</em> = 16 ft
<em>w</em> = 16 ft
We need to solve for the height of the box.

First, find the base area:

$A=lw\\A=16^2\\A=256$

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

$V=base\hspace{3}area*height$

⇒ Divide both sides by the base area:

$\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}$