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3 years ago

What is the polynomial -9+1/8x-7x^4+x^2-x^5 in standard form

Mathematics

1 answer:

Oduvanchick [21]3 years ago

7 0

Answer:

-x^5 - 7x^4 + x^2 + (1/8)x - 9

Step-by-step explanation:

Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:

-9+1/8x

-x^5 - 7x^4 + x^2 + (1/8)x - 9

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The difference of two numbers is 4. Their sum is 18. Find the numbers.

Travka [436]

Answer:

11 and 7

Step-by-step explanation:

Let these two numbers be x and y where x is greater than y.

We can write two equations from the given information:

x - y = 4

and

x + y = 18

If we add them together, the y's cancel out:

x - y = 4

x + y = 18

2x = 22

x = 11

y is 4 less than x, meaning it is 7.

The two numbers are 11 and 7

7 0

3 years ago

Read 2 more answers

Negative charge −Q is distributed uniformly over the surface of a thin spherical insulating shell with radius R.

Diano4ka-milaya [45]

Answer:

-(1/4πϵ0)Qq/r^2

Step-by-step explanation:

Firstly we have to assume the uniform shell of radius R as point charge as the point charge.

Then apply coulomb equation of electrostatic charge (Fe=q1q2/4πϵ0r2) where the q1 and q2 are point charges and r is the distance from the centre of charges.

But remember there's a condition that r>>R otherwise the charge will get non-uniformely distributed.

4 0

3 years ago

Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

Nate's quiche is cut into 7 equal parts. Only 3/7 of the quiche is left. He wants to give 3 friends and equal part. Write 3/7 as

sineoko [7]

7/7 - 4/7 = 3/7
This is the relationship between the quantities

5 0

4 years ago

Read 2 more answers

Convert the angle - 3 radians to degrees, rounding to the nearest 10th

dlinn [17]

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

3 0

3 years ago