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viktelen [127]
3 years ago
7

Th polynomial x3+8 is equal to

Mathematics
1 answer:
anyanavicka [17]3 years ago
4 0
The polynomial x3+8 = (x+2)(x2-2x+4)
You might be interested in
A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o
Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

\implies xy = 3000\implies y=\frac{3000}{x}

∵ In a rectangle,

D^2=a^2+b^2

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

(x+10)^2 = x^2 + y^2

(x+10)^2 = x^2 + \frac{9000000}{x^2}

x^2(x+10)^2 = x^4 + 9000000

x^2(x^2+100+20x) = x^4 + 9000000

x^4+100x^2 + 20x^3 = x^4 + 9000000

20x^3 + 100x^2 - 9000000=0

x^3 + 5x^2 - 450000 = 0

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = \frac{3000}{75} = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0
3 years ago
Read 2 more answers
Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the a
juin [17]

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}

We are given:

Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\;  \times \; 10^4 \; bushels

Substituting the above information in the formula, we get...

The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\;   1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\

Conclusion:

The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn

The average amount of corn produced per acre represented in scientific notation is option B)1.6 \times 10^2bushels per acre

5 0
3 years ago
Read 2 more answers
Translate this sentence into an equation.
aliya0001 [1]

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

7 0
2 years ago
Read 2 more answers
Need help on this math problem!!!
Colt1911 [192]

Answer:

(fof^{-1})(x)=x

Step-by-step explanation:

Composition of two functions f(x) and g(x) is represented by,

(fog)(x) = f[g(x)]

If a function is,

f(x) = (-6x - 8)² [where x ≤ -\frac{8}{6}]

Another function is the inverse of f(x),

f^{-1}(x)=-\frac{\sqrt{x}+8}{6}

Now composite function of these functions will be,

(fof^{-1})(x)=f[f^{-1}(x)]

                  = [-6(\frac{\sqrt{x}+8}{6})-8]^{2}

                  = [-\sqrt{x}+8-8]^2

                  = (-\sqrt{x})^2

                  = x

Therefore, (fof^{-1})(x)=x

4 0
3 years ago
34 + 4 ⋅ 5 = ____. (Input whole numbers only.)
muminat

Answer:

54

4 x 5 = 20

20 + 34 = 54

6 0
3 years ago
Read 2 more answers
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