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topjm [15]
2 years ago
13

Solve |y + 2| > 6 pls help

Mathematics
1 answer:
solmaris [256]2 years ago
7 0

Answer:

Step-by-step explanation:

Definition of an absolute value is:

|a|=\left \{ {{a, if a\geq 0} \atop {-a, if a

<em>1).</em> Assume that (y + 2) ≥ 0, then

y + 2 > 6 ⇒ <em>y > 4</em>

<em>2).</em> Now, if (y + 2) < 0, then

- (y + 2) > 6 ⇔ - y - 2 > 6 ⇒ <em>y < - 8</em>

<em>y ∈ ( - ∞ , - 8) ∪ (4 , ∞ )</em>

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Emma has addressed seven invitations to her
Firlakuza [10]

Answer:

12

Step-by-step explanation:

This can be solved by working backwards.

7 is one more than half the number of invitations.

Subtract 1.  6 is half the number of invitations.

Double.

12 is the full number of invitations.

Algebra (if you must!):

x = number of invitations

x/2 + 1 = 7

Subtract 1.

x/2 = 6

Multiply by 2.

x = 12

8 0
2 years ago
Read 2 more answers
| 2p -1 | =45, what are the values of p?
Alex73 [517]

Answer:

p = 23       and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45    and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

p = 23       and p = -22

5 0
3 years ago
Read 2 more answers
What is the equation if x=1 and y=16/3
GaryK [48]
There may be more than one way in which to answer this question.  I will assume that the "equation" is a linear one:  f(x) = mx + b.

Then (16/3) = m(1) + b
This is one equation in two unknowns, so it does not have a unique solution.  Was there more to this problem than you have shared?


If we assume that the y-intercept (b) is zero, then y = mx, and 

16/3 = 1m, so that m = 16/3, and so   y = (16/3)x.
4 0
3 years ago
In 2002, the number of students in a large urban high school was 2260. In 2004, the number of students was 2230. If the number o
Alchen [17]
Its saying that every 2 years the students decreases by 30 such as in 1990 the number of students in an large urban high school is 3490.In 1992 the number of students was 3460 and keep decreasing every 2 years 30 comes off.
The easiest way to move faster is to:
Years=The Number Of Students
2006=2200
2008=2170
2010=2140
2012=2110
2014=2080
2016=2050
But here is the tricky part the question said 2017 it an odd number so we have half of 30 because 30 comes of every 2 years but its the 1st year so it half of the 2 years and half of 30 students so this equals to:
2017=2035
8 0
3 years ago
2/5 × 1/6 , but the answer as a fraction <br>11 points​
dusya [7]

Answer:

<u><em>1/15</em></u>

Step-by-step explanation:

2/5*1/6

Make the denominator the same

12/30*5/30

2/30

Simplify

<u><em>1/15</em></u>

6 0
2 years ago
Read 2 more answers
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