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Vikentia [17]
3 years ago
10

Subtract these polynomials. (3x2 + 3x + 3) – (x2 + 2x + 3) =

Mathematics
2 answers:
pashok25 [27]3 years ago
3 0
= 2x^2+x. the answer
defon3 years ago
3 0
Hi there!

(3 {x}^{2}  + 3x + 3) - ( {x}^{2}   + 2x + 3)
First we work out the parenthesis. We can just remove them in the first part of our expression. However, to get rid of the parenthesis in the second part, we must multiply every factor by -1.

3 {x}^{2}  + 3x + 3 -  {x}^{2}  - 2x - 3
Now rearrange our expression, in order to collect the terms later.

3 {x}^{2}  -  {x}^{2}  + 3x - 2x + 3 - 3
Finally collect the terms of the expression.

\boxed{2 {x }^{2} + x }
The answer is boxed.

~ Hope this helps you!



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The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
ICE Princess25 [194]

Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

7 0
3 years ago
3. The profit for a company is given by the equation y = -0.0002x 2 + 140x – 250,000 where x is the number of units sold and y i
nirvana33 [79]

9514 1404 393

Answer:

  350,000

Step-by-step explanation:

The vertex of the quadratic ax²+bx+c is located at x=-b/(2a). For the given profit function, the number of units (x) that will produce maximum profit is ...

  x = -(140)/(2(-0.0002)) = 1,400,000/4

  x = 350,000

350,000 units should be sold to maximize profit.

3 0
3 years ago
How do i do this? the interquartile range? please help!
Irina18 [472]

Answer:

20

Step-by-step explanation:

3 0
4 years ago
How to draw 2 pairs of parallel sides 2 pairs of sides equal in length and 2 acute and 2 obtuse angles. Tell all the possible na
Vlad1618 [11]
Rhombus (like a squished rectangle)

This is because there are always two pairs of parallel sides, equivalent pairs, and two angles that are acute, and two that are obtuse.

I hope this helps!
7 0
4 years ago
Select the correct answer.<br> Which of the following represents a function?
hichkok12 [17]

Answer:

The answer is C

Step-by-step explanation:

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5 0
3 years ago
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