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2 years ago

Hello, can you show me how to solve this problem x^4+8x-9?

Mathematics

2 answers:

svet-max [94.6K]2 years ago

7 0

(x^2)^2+2*x^2*4+16-16-9

(x^2+4)^2-25

(x^2+4)-5^2

(x^2+4-5) (x^2+4+5)

n200080 [17]2 years ago

5 0

Answer: If you are looking to factor, then the answer would be (x-1)(x^3+x^2+x+9)

Step-by-step explanation: You can use the rational root theorem which we can express (x-1)x^4+8x-9/x-1 and this can be simplified to (x-1)(x^3+x^2+x+9)

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Find the points on x^2+3(y-2)^2 = 27 which are closest to and farthest from the origin

maria [59]

$(-4.89, 3)$ and $(4.89, 3)$ are the farthest from the origin and $(0, -1)$ is the closest from the origin.

Let be a curve of the form $x^{2}+3\cdot (y-2)^{2} = 27$ . The distance with respect to origin is found by using the following Pythagorean identity:

$r = x^{2}+y^{2}$ (1)

Where $r$ is the square distance function.

We can modify (1) as following:

$r = [27-3\cdot (y-2)^{2}]+y^{2}$

$r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}$

$r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}$

$r = -2\cdot y^{2}+12\cdot y+27$ (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

$-4\cdot y +12 = 0$

$y = 3$

Second derivative test

$r'' = -4$

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: $(-4.89, 3)$ , $(4.89, 3)$ .

Closest points: $(0, -1)$ .

$(-4.89, 3)$ and $(4.89, 3)$ are the farthest from the origin and $(0, -1)$ is the closest from the origin.

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

6 0

3 years ago

Factor each of the following expression completely..4a^2 b-8a^3 b^5+2ab^7.

Setler79 [48]

Equation at the end of step 1 : (((4•(a2))•b)-((8•(a3))•(b5)))+2ab7Equation at the end of step 2 : (((4•(a2))•b)-(23a3•b5))+2ab7 Step 3 :Equation at the end of step 3 : ((22a2 • b) - 23a3b5) + 2ab7 Step 4 :Step 5 :Pulling out like terms :

5.1 Pull out like factors :

 -8a3b5 + 4a2b + 2ab7 = -2ab • (4a2b4 - 2a - b6)

Trying to factor a multi variable polynomial :

5.2 Factoring 4a2b4 - 2a - b6

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Final result : -2ab • (4a2b4 - 2a - b6)

Processing ends successfully

hope this helps hope i am brainliest i need it

5 0

3 years ago

Find the missing side lengths

Nadya [2.5K]

Answer:

y=9 and x=9*sqrt(2)

Step-by-step explanation:

tan(45)=9/y, 1=9/y, y=9

sin(45)=9/x, 1/sqrt(2)=9/x, x=9*sqrt(2)

7 0

3 years ago

Read 2 more answers

A dealer earns a profit of 8$ per bag of white cement and a loss of 5$ per bag of grey cement.

Natali [406]

Answer :-

loss = 1000$
4000

Step by step explanation :-

Profit on 3000 bags of white cement sold = 3000 × 8 = 24000

loss on 5000 bags of grey cement sold = 5000 × 5 = 25000

Alternatively: 

Net loss = ( 25000 - 24000 ) = 1000$
profit/ loss = $ [3000 × 8 - 5000 × 5 ]
$ [24000 - 25000]
-1000$

As the result of transaction is negative/ loss

Loss = 1000$

Loss on the scale of 6400 grey bags = 6400 × 5 = 32,000

In order to have no profit, profit from the Cello white cement should be 32000.

Number of white cement bags to be sold = 32000 / 8 = 4000

4000 why cement bags and 6400 grey cement bags are sold in order to have no profit and no loss

Hope it helps ~

5 0

2 years ago

PLS HELP!!! Write the number 2.4 in a/b form, using integers, to show that is a rational number?

ch4aika [34]

It's maybe right. I'm not sure

8 0

4 years ago

Hello, can you show me how to solve this problem x^4+8x-9?​

Hello, can you show me how to solve this problem x^4+8x-9?