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zlopas [31]
3 years ago
7

What's an interval. I just dont seem to get it. Its too tricky for me

Mathematics
1 answer:
andrezito [222]3 years ago
3 0
An interval is a time in which comes between two main things. for example if we are running really fast for 30 seconds and then we walk for 1 minute. that walking is called an interval. after the interval we speed up again.
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Answer is 18 you just need to multiply
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WILL GIVE BRAINLIEST
Anni [7]
Simplify the following:
2 x + 1 + 1/x^2 - (1/x^2 + x - 2)

Put each term in x - 2 + 1/x^2 over the common denominator x^2: x - 2 + 1/x^2 = x^3/x^2 - (2 x^2)/x^2 + 1/x^2:
2 x + 1 + 1/x^2 - x^3/x^2 - (2 x^2)/x^2 + 1/x^2

x^3/x^2 - (2 x^2)/x^2 + 1/x^2 = (x^3 - 2 x^2 + 1)/x^2:
1/x^2 + 2 x + 1 - (x^3 - 2 x^2 + 1)/x^2

The possible rational roots of x^3 - 2 x^2 + 1 are x = ± 1. Of these, x = 1 is a root. This gives x - 1 as all linear factors:
1/x^2 + 2 x + 1 - (((x - 1) (x^3 - 2 x^2 + 1))/(x - 1))/(x^2)

 | | 
x | - | 1 | | x^2 | - | x | - | 1
x^3 | - | 2 x^2 | + | 0 | + | 1
x^3 | - | x^2 | | | | 
 | | -x^2 | + | 0 | | 
 | | -x^2 | + | x | | 
 | | | | -x | + | 1
 | | | | -x | + | 1
 | | | | | | 0:
1/x^2 + 2 x + 1 - (x^2 - x - 1 (x - 1))/x^2

Put each term in x^(-2) + 2 x + 1 - ((x - 1) (x^2 - x - 1))/x^2 over the common denominator x^2: x^(-2) + 2 x + 1 - ((x - 1) (x^2 - x - 1))/x^2 = 1/x^2 + (2 x^3)/x^2 + x^2/x^2 - ((x - 1) (x^2 - x - 1))/x^2:1/x^2 + (2 x^3)/x^2 + x^2/x^2 - ((x - 1) (x^2 - x - 1))/x^2
1/x^2 + (2 x^3)/x^2 + x^2/x^2 - ((x - 1) (x^2 - x - 1))/x^2 = (1 + 2 x^3 + x^2 - (x - 1) (x^2 - x - 1))/x^2:(1 + 2 x^3 + x^2 - (x - 1) (x^2 - x - 1))/x^2

 | | | | x | - | 1
 | | x^2 | - | x | - | 1
 | | | | -x | + | 1
 | | -x^2 | + | x | + | 0
x^3 | - | x^2 | + | 0 | + | 0
x^3 | - | 2 x^2 | + | 0 | + | 1:
(-x^3 - 2 x^2 + 1 + 2 x^3 + x^2 + 1)/x^2


-(x^3 - 2 x^2 + 1) = -x^3 + 2 x^2 - 1:
(-x^3 + 2 x^2 - 1 + 2 x^3 + x^2 + 1)/x^2


Grouping like terms, 2 x^3 - x^3 + 2 x^2 + x^2 - 1 + 1 = (2 x^3 - x^3) + (x^2 + 2 x^2) + (1 - 1):
((2 x^3 - x^3) + (x^2 + 2 x^2) + (1 - 1))/x^2


2 x^3 - x^3 = x^3:
(x^3 + (x^2 + 2 x^2) + (1 - 1))/x^2


x^2 + 2 x^2 = 3 x^2:
(x^3 + 3 x^2 + (1 - 1))/x^2


1 - 1 = 0:
(x^3 + 3 x^2)/x^2


Factor x^2 out of x^3 + 3 x^2:
(x^2 (x + 3))/x^2


(x^2 (x + 3))/x^2 = x^2/x^2×(x + 3) = x + 3:
Answer:  x + 3
6 0
3 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.A lawn mower is pushed a
dangina [55]

ANSWER:

4242.64 lbs*ft

STEP-BY-STEP EXPLANATION:

To better understand we make a sketch of the situation:

Where,

Distance ||PQ|| = 100 ft

Force (F) = 60 lbs

The angle between force and displacement is 45°

Component of force along displacement is F * Cos 45°

The total work is calculated by means of the formula shown in the statement:

\begin{gathered} W=F\times||PQ||\times\cos45\degree \\  \\ W=60\times100\times\cos45\degree \\  \\ W=4242.64\text{ lbs*ft} \end{gathered}

The total work is equal to 4242.64 lbs*ft

4 0
1 year ago
Which value of x is in the domain of f(x) = \sqrt {x - 8}f(x)=
Mice21 [21]
The answer is A hope this helped you
5 0
3 years ago
It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of
Keith_Richards [23]

Answer:

It costs a family 216 dollars to refinish a wood floor. They want to refinish the floor in a larger room. The ratio of length of corresponding sides is 3:4. How much would it cost to finish the floor.

Step-by-step explanation:

7 0
3 years ago
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