What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2

If the 9-inch wheel of cheese costs $18.60, what is the cost per square inch? If the cost is less than a dollar, put a zero to t

vagabundo [1.1K]

Find the area of the wheel:

Area of a circle is found using the formula:

Area = PI x r^2

9 inch would be the diameter, so the radius would be 9/2 = 4.5 inches.

The area would be 3.14 x 4.5^2 = 63.6 square inches.

Now divide the price by the area to get price per square inch:

Cost per square inch = 18.60 / 63.6 = $0.29 (rounded to the nearest cent)

5 0

4 years ago

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What are the end points of the triangle called? How are they labeled?

horrorfan [7]

For this case we have that by definition:

A triangle is defined by three lines that are called sides, or by three points called vertices.

We know that:

The vertices of a triangle are labeled with capital letters.
The sides of a triangle are written with lowercase letters.
The angles of a triangle are written similarly to the vertices.

Answer:

The end points of the triangle are called vertices.

They are labeled in capital letters.

6 0

3 years ago

Yo i neeed help!

notsponge [240]

Answer:

A.)

Step-by-step explanation:

15 multiplied by 14 is the total number of women’s players.

14(m) is our unknown amount of men’s teams

Which has to be less than the amount of players who can register 476

6 0

3 years ago

Triangle DEF is congruent to TriangleGHJ by the SSS theorem. Which rigid transformation is required to map TriangleDEF onto Tria

inn [45]

Answer:

Rotation

Step-by-step explanation:

Given:

Triangle DEF is congruent to Triangle GHJ by the SSS theorem

To find: transformation required to map Triangle DEF onto Triangle GHJ

Solution:

Two figures are said to be congruent if they overlap each other.

Two polygons are said to be congruent if they have same size and shape.

A rotation is a transformation that turns a figure about the center of rotation.

Rotation transformation is required to map Triangle DEF onto Triangle GHJ

7 0

3 years ago

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3.

natima [27]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of spade shovels, y -the number of flat shovels and z - the number of square showels sold that day.

The store keeps an inventory of 80 shovels, then

x+y+z=80

The store always buy twice as many spade shovels as square, so

x=2z

The total cost of all shovels is

16x+9.60y+12.80z=1,072

a) The system of three equations is

$\left\{\begin{array}{l}x+y+z=80\\ \\x=2z\\ \\16x+9.60y+12.80z=1,072\end{array}\right.$

b) In matrix form this is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}80\\0\\1,072\end{array}\right)$

c) The determinant is

$\left\|\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 16&9.60&12.80\end{array}\right\|=0-32+9.60-0+19.20-12.80=-16$

d) Find three determinants:

$\left\|\begin{array}{ccc}80&1&1\\ 0&0&-2\\ 1,072&9.60&12.80\end{array}\right\|=0-2,144+0-0+1,536-0=-608$

$\left\|\begin{array}{ccc}1&80&1\\ 1&0&-2\\ 16&1,072&12.80\end{array}\right\|=0-2,560+1,072-0+2,144-1,024=-368$

$\left\|\begin{array}{ccc}1&1&80\\ 1&0&0\\ 16&9.60&1,072\end{array}\right\|=0+0+768-0-0-1,072=-304$

So,

$x=\dfrac{-608}{-16}=38\\ \\y=\dfrac{-368}{-16}=23\\ \\z=\dfrac{-304}{-16}=19$

e) If the store doubled all prices and inventory, then the new matrix is

$\left(\begin{array}{ccc}1&1&1\\ 1&0&-2\\ 32&19.20&25.60\end{array}\right)\cdot \left(\begin{array}{c}x\\y\\z\end{array}\right)=\left(\begin{array}{c}160\\0\\2,144\end{array}\right)$

7 0

3 years ago

What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2 - x