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g100num [7]
1 year ago
10

Form a polynomial whose zeros and degree are given. ​Zeros: 2​, multiplicity​ 1; 4​, multiplicity​ 2; degree 3

Mathematics
1 answer:
jek_recluse [69]1 year ago
6 0

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

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Jackie bought a circular rug to place on the floor in her bathroom. The rug has a diameter of 6 feet. What is the area of the ru
Genrish500 [490]
Hey!
The area of the circle would be 28.26 feet squared

Lets break it down:

The formula for the area is pi×radius×radius
We have the diameter, so to find the radius, we need to divide the diameter by 2. 6÷2=3
Now that we have the radius, wr can plug in our numbers: 3.14×3×3= the area, or 28.26 feet sq.

Hope this helps!
6 0
2 years ago
The number of bags of mulch you need to cover a planting area varies jointly with the area to be mulched (a) in sq ft and the de
Lena [83]

Answer:

  22 2/9

Step-by-step explanation:

When z "varies jointly" with x and y, it can be described by the formula

   z = kxy

Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.

  n = kad

  10 = k·(120)(1/4)

  10/30 = k = 1/3 . . . . . divide by the coefficient of k

Now, we can fill in the other values of interest.

  n = (1/3)·(200)·(1/3) = 200/9

  n = 22 2/9

You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.

_____

<em>Comment on the problem</em>

This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.

8 0
2 years ago
Complete the table by filling in the elapsed tine.<br> Help pls
Sav [38]

Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

#CarryOnLearning

7 0
1 year ago
Read 2 more answers
A cell phone plan costs $150 to start. Then there is a $25 charge each month.
grin007 [14]

Answer:

$175

Step-by-step explanation:

Since it’s only one month you just add 150 by 25

Correct me if I am wrong

7 0
3 years ago
Is 6 less than 6.00?
Nadya [2.5K]
No, they are the same value.
3 0
2 years ago
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