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2 years ago

Find a polynomial with a degree of 3, and the zeros 1,7, & -4 with no other zeros.

Mathematics

1 answer:

jarptica [38.1K]2 years ago

5 0

Answer:

$f(x)=(x+4)(x-7)(x-1)$

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

$f(x)=(x+4)(x-7)(x-1)$

If needed you could expand but I'm too lazy

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Patricia purchased x meters of fencing. She originally intended to use all of the fencing to enclose a square region, but later

sergejj [24]

Answer:

(y^2)/4 square meters

Step-by-step explanation:

For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.

If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...

(x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2

That is, the difference in area between the square and the rectangle is ...

(x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4

The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.

5 0

3 years ago

The selling price of a refrigerator, is $739.20. If the mark up is 20% of the dealers cost , what is the dealers cost of the ref

Lisa [10]

Mark up percentages are used to increase the prices of items

The dealers cost of the refrigerator is $591.36

<h3>How to determine the dealer cost</h3>

Represent the dealer cost of the refrigerator with x.

Given that the markup is 20% and the selling price of the refrigerator is $739.20, then we have the following equation

x = 739.20 * (1 - 20%)

Evaluate the product

x = 591.36

Hence, the dealers cost of the refrigerator is $591.36

Read more about mark ups at:

brainly.com/question/19104371

5 0

2 years ago

A contractor has installed a silt fence around an area that is semi-circular and level to prevent soil from the construction sit

Oxana [17]

3085
[(1200xpí)/2]+1200

4 0

3 years ago

Read 2 more answers

Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The surface area of cube is given as:</u></em>

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

<u><em>Find the volume of cube:</em></u>

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

8 0

2 years ago

What multiplication expression is equal to 3/4 divided by 1/3

kakasveta [241]

Answer:

4 1

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same
Change the division sign to a multiplication sign
Flip the fraction (reciprocal)

5 0

2 years ago