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mariarad [96]
3 years ago
11

Please answer!

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

Step-by-step explanation:

distributive property

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The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−5.
satela [25.4K]

Answer:

P(x) = -0.7(x-5)^{2}(x+5)

Step-by-step explanation:

Root multiplicity of 2 means the root is repeated 2 times. Root multiplicity of 1 means root is repeated only once.

A polynomial of degree 3 means the largest exponent of x is 3.

Here, the polynomial P(x) has root 5 with multiplicity 2 and -5 with multiplicity 1.

So, P(x) = a(x-5)^{2}(x+5)

Where, a is a constant.

Now, it's given that the y intercept is -87.5. Therefore, value of x at y intercept is 0.

We obtain a by plugging in -87.5 for P(x) and 0 for x.

-87.5=a(0-5)^{2}(0+5)

-87.5=a(25\times5)\\ a=-\frac{87.5}{125}=-0.7

Therefore, the polynomial P(x) is given as:

P(x) =-0.7(x-5)^{2}(x+5)

3 0
4 years ago
Two numbers have a difference of 4 and -8. What is their product?
Wittaler [7]
Difference means - so 4-(-8)

which also the same as 4+8 so ur answer is 12


7 0
3 years ago
Select a pair of numbers that have a sum of 9 and a difference of 1
Tems11 [23]

Answer:

The two numbers with the sum of 9 and difference of 1 is 5 and 4.

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Mr brown bought a lot that ia half as long and twice as wide Mrs.Rockwell's lot.How does the area of his lot compare to the area
prohojiy [21]

Answer:

Area of Mrs. Rockwell's lot is equal to the area of Mr. Brown's lot

Step-by-step explanation:

We can suppose the dimensions of Mrs. Rockwell's lot to be:

Length = x

Width = y

Then, we can write the dimensions of Mr. Brown's lot as:

Length = half as long as Mrs. Rockwell's lot

Length = 0.5x

Width = twice as wide as Mrs. Rockwell's lot

Width = 2y

Area of Mrs. Rockwell's lot = Length * Width

                                             = x*y  

Area of Mrs. Rockwell's lot = xy

Area of Mr. Brown's lot = 0.5x*2y

Area of Mr. Brown's lot = xy

<u>Area of Mrs. Rockwell's lot </u><u>is equal</u><u> to the area of Mr. Brown's lot, as calculated above</u>.

7 0
4 years ago
A square has an area of 100m^2 . What is the length of each side?
Lorico [155]

Answer:

10 meters

Step-by-step explanation:

The area of a square is found by

A = s^2 where s is the side length

100 = s^2

Take the square root of each side

sqrt(100) = sqrt(s^2)

10 =s

8 0
3 years ago
Read 2 more answers
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