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alisha [4.7K]
3 years ago
8

> 5" align="absmiddle" class="latex-formula">
I've tried solving this inequality multiple times and I just can't get it right. I don't know what I'm doing wrong. please help​
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
3 0

The absolute value is defined as

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.

For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.

• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that

|7+8x|>5\implies 7+8x>5 \implies 8x>-2 \implies x>-\dfrac14

• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that

|7+8x|>5\implies-(7+8x)>5\implies7+8x

The solution to the inequality is the union of these two intervals.

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Aneli [31]

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

4 0
3 years ago
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Irene knows there are 2 cups in 1 pint. She writes the equation c=2p to find the number of cups, c, in any number of pints, p. U
Natasha2012 [34]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as there are no options to select from.

However, a general explanation is as follows.

Given

2\ cups = 1\ pint

Required

Is c = 2p a correct expression?

Let

c = cups

p = pint

So:

2\ cups = 1\ pint

becomes

2 * c = 1 * p

2c = p

Divide both sides by 2

c =\frac{1}{2}p

Hence:

c = 2p is incorrect

4 0
3 years ago
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Rudik [331]

The answer will be option D {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

<h3>What is probability?</h3>

The probability is defined as the chances of happening of any random event. or the possibility of happening of any event is called as the probability.

It is given in the question that there are two colours in the spinner and the dice have 6 faces from {1 to 6} numbers on it.

The sample outcomes with the spinner and the dice will be as follows:-

S= {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

Hence  answer will be {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

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5 0
2 years ago
IS THIS RIGHT <br> JUST ANSWER YES OR NO
Ivanshal [37]

Answer:

B

Step-by-step explanation:

x^3 + 2x^2 - 9x - 18 = x^2(x + 2) - 9(x + 2) = (x + 2)*(x^2 - 9)

(x + 2)/(x + 2)(x^2 - 9) = 1 / (x^2 - 9)

==============

1/(x^2 - 9) * (x^2 - 9)/(3x  + 1) = 1/(3x + 1)


Yes B is correct.


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