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2 years ago

Your answer should be in the formp (x) +k/x where p is a polynomial and k is an integer. 5x^2+x+7/x

Mathematics

1 answer:

Alona [7]2 years ago

3 0

Answer:

$p(x) + \frac{k}{x} = 5x + 1 + \frac{7}{x}$

Step-by-step explanation:

Given

$\frac{5x^2 + x + 7}{x}$

Required

Express in form of $p(x) + \frac{k}{x}$

$\frac{5x^2 + x + 7}{x}$

The above can be expressed as:

$p(x) + \frac{k}{x} = \frac{5x^2 + x + 7}{x}$

$p(x) + \frac{k}{x} = \frac{5x^2}{x} + \frac{x}{x} + \frac{7}{x}$

$p(x) + \frac{k}{x} = 5x + 1 + \frac{7}{x}$

By comparison:

$p(x) = 5x + 1$ and $k = 7$

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How do you solve 2/3x+15=17? it is confusing. i have been stuck on this problem for a while...

kirill [66]

Find the opposite of adding 15. So it would be subtracting 15. So subtract 15 on both sides. So it would have 2/3x on the left and then 2 on the other side. (2/3x=2) Now find the opposite of multiplying 2/3. It is dividing 23/3. So divide 23/3 on both sides. So multiply 2/3 times 1/2. It would equal 3. x = 3
Hope this helps. :-)

3 0

3 years ago

Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $18

chubhunter [2.5K]

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

$\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910$

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

$\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320$

8 0

2 years ago

Find the diameter of the circle with the given circumference use 3.14 C=18

algol [13]

The formula for the circumference of a circle is pi * r * 2

First we solve for r (the radius)
pi*r*2 = C
pi*r*2 = 18

Divide 18 by 2
pi*r = 9

Then divide 9 by 3.14
pi= 9/3.14 which is 2.866

The diameter is 2 times length of the radius so multiply 2.866 by 2
The diameter is about 5.732
(And you can round of course)

Hope that helped

3 0

3 years ago

a stack of 4 books weigh 5.2 pounds if each book weighs the same amount then how much does each book weigh

statuscvo [17]

Answer:

1.3 pounds

Step-by-step explanation:

8 0

2 years ago

what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form

Andrews [41]

Answer:

<u>m = 0</u>, y = -6

Step-by-step explanation:

using point slope form :

$y - y_{1} = m(x - x_{1})$

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

-6+6= m(7-4)

0 = m(7-4)

0 = 3m

0/3 = 3/3m

0 = m

m = 0/3 = 0

4 0

2 years ago