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gayaneshka [121]
3 years ago
9

Which of the following is equivalent to |x-1| <5? x-1<5 5 -5 -5 > x-135

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0

It is equivalent to -5 < x - 1 < 5

Step-by-step explanation:

  • Step 1: Find equivalent of |x - 1| < 5

|x| this represents the absolute value. It is the distance of x from 0, so the value of x can be both positive and negative.

⇒ |x - 1| < 5 can be (x - 1) < 5 and -(x - 1) < 5

⇒ -(x - 1) < 5

⇒ (x - 1) < -5

So equivalent of |x - 1| < 5 is -5 < x - 1 < 5

sergeinik [125]3 years ago
4 0

Answer:

Step-by-step explanation:

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Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

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ICE Princess25 [194]
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2 years ago
Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm
Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

2(x + y) = xy and we know that y = 10x so

2(x + 10x) = x(10x) and

2(11x)=10x^2 and

10x^2-22x=0 and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to \frac{22}{10}=2.2

So x = 2.2 and y = 22.

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2 years ago
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Aloiza [94]

B a counterclockwise rotation about the origin of 90°

under a counterclockwise rotation about the origin

a point ( x , y ) → (- y, x)

figure Q to figure Q'

( 4,2 ) → (- 2, 4 )

(7, 5 ) → (- 5, 7 )

(3, 7 ) → (- 7 , 3 )

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the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'



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3 years ago
HELP WITH FINANCIAL LIT--WILL MARK BRANLIEST--
Dominik [7]
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2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.

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The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
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3 0
3 years ago
Read 2 more answers
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