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4 years ago

(Divide the following polynomials (x5 + y5) ÷ (x + y)

1 answer:

7 0

$\text{Use}\ a^5+b^5=(a + b) (a^4 - a^3 b + a^2 b^2 - a b^3 + b^4).\\\\(x^5+y^5):(x+y)=\dfrac{x^5+y^5}{x+y}=\dfrac{(x+y)(x^4-x^3y+x^2y^2-xy^3+y^4)}{x+y}\\\\=\boxed{x^4-x^3y+x^2y^2-xy^3+y^4}$

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How do i solve for x?

Oxana [17]

Answer:

x = 10

Step-by-step explanation:

You have to divide 30 divided by 10 is 3 so ya.

7 0

3 years ago

Read 2 more answers

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

3 years ago

HELP!!!!!!!!!!

Vadim26 [7]

Answer:

A)Points are A ,B,C,D,G,E

B) other names are AC, CA, ABC

C)the Rays are DE, DG

D) M refers to the plane in which these points and Rays,lines are mentioned

E) < GDE < EDG are other names for angle 1

Explanation:

A line is one which has arrow heads on both ends and extends infinitely .

A ray has arrow Head at one end.

An angle is formed by the joining of two rays or lines.

Points are specific locations on a line or ray .

A plane has two dimensions length and breadth which has a line etc drawn on it

7 0

3 years ago

Pls help, Would really appreciate . ASAP

Irina18 [472]

Answer:

Step-by-step explanation:

It is A

3 0

3 years ago

Read 2 more answers

As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando

Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = $\sqrt{4252} \\=65.21$

Score of student selected at random X=1700

Corresponding Z score = $\frac{1700-2573}{65.201} \\=-13.38$

Rounding of we get Z score = -13.4

option a is right

6 0

3 years ago