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Umnica [9.8K]
3 years ago
13

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers

of x. x4 -3x + 1, 4x2 - 2x + 8, and x3 - 9
Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

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3 years ago
Find the sum of x^2+3x and <br> -2x^2+9x+5
Butoxors [25]

Answer: The answer is -x^2 + 12x + 5

7 0
2 years ago
Let f(x) = tan(x) - 2/x. Let g(x) = x^2 + 8. What is f(x)*g(y)?
Tema [17]

Answer:

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

Step-by-step explanation:

We are given that

f(x)=tan(x)-\frac{2}{x}

g(x)=x^2+8

We have to find f(x)\times g(y)

To find the value of f(x)\times g(y) we will multiply f(x) by g(y)

g(y)=y^2+8

Now,

f(x)\times g(y)=(tanx-\frac{2}{x})(y^2+8)

f(x)\times g(y)=tan(x)(y^2+8)-\frac{2}{x}(y^2+8)

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

Hence,

f(x)\times g(y)=y^2tan(x)+8tan(x)-\frac{2y^2}{x}-\frac{16}{x}

5 0
2 years ago
A farmer harvested some of his pecan crops on Friday and Saturday.what fraction of the pecan crop was harvested in two days
Sloan [31]

Answer:

Hence the 3.28 %or 2/61  of total work will be done .

Step-by-step explanation:

Given:

The pecan crops are harvested for  friday and saturday (2days)

To find :

What fraction these 2 days corresponds to the harvesting days?

Solution;

The  pecan crops are growing in America  in state of Georgia

and consider that in months of October and November  pecan crop becomes mature .

Hence the harvesting period is of 2 months considerably .

The month of October and November days are 31 and 30 .

Hence the Total days  of harvesting are 61 days.

In these days total Pecan crops will be harvested.(100% work in 61 days)

Now the farmer harvest for 2 days only .

Required fraction=2/61

=0.0327869

=3.28%

Depending upon the crop field and planting answer will vary

But 3.28 % of total work will be done in 2 days on harvesting

8 0
3 years ago
Suppose f(x)=2×+5 find the value of -2f(x+1)
loris [4]
F(x) = 2x + 5 

-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5

-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10

----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------
3 0
3 years ago
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