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Kay [80]
3 years ago
15

Solve both! For x |X + 2| > 5 |X + 2| < 5

Mathematics
1 answer:
NISA [10]3 years ago
4 0

Answer:

Your Answer is ...

x > 3 or x < -7

Step-by-step explanation:

1.  x > 3 worked out

|X + 2| > 5

Solve absolute Value

|X + 2| > 5

We know either |X + 2| > 5 or x + 2 < - 5

_________________________________

x + 2 > 5\\x + 2 - 2 > 5 - 2 (Subtract ~2~ from~Both~sides)\\ x >3

2. x < -7 Worked out

x + 2 < - 5\\x+2-2>5-2 (Subtract~2~from~Both~sides)\\x

Hope this Helps!

Take Care!

-Jay-

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Simplify 9 over quantity of 3 minus 2 i
alisha [4.7K]
Wouldnt it be:
 
9                    9
---       =    --------  =  9
3-2                1

4 0
4 years ago
Read 2 more answers
What are the vertex and x-intercepts of the graph of the function given below?
madreJ [45]
VERTEX
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex = -\dfrac{b}{2a}

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex = -\dfrac{b}{2a}
x vertex =  -\dfrac{(-2)}{2(1)}
x vertex =  \dfrac{2}{2}
x vertex = 1

To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49

The vertex is (1, -49)

X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)

The answer is first option
5 0
4 years ago
Read 2 more answers
Does anyone know the answers to this
sveticcg [70]

Part A:

10p + 12v > 3200

p > 12000

v < 15000

(imagine they have the line underneath the symbols)

Part B:

at least 14,000 cups of plain yogurt

(make sure to convert the dollars to cents so that it is accurate)

math:

10p + 12(15000) > 320000

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5 0
3 years ago
Scott has jaunt baked 24 cookies he want to put them in a paper bags in groups of 5 how many groups of 5 can he make how many co
kondaur [170]

Answer:

He can make 4 groups as for the 5th group he left with 4 cookies.

So your answer would be 4 groups and 4 cookies.

hope it helps!

6 0
3 years ago
Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p
sertanlavr [38]

Answer:

The statement \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) is equivalent to \lnot p, \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p

Step-by-step explanation:

We need to prove that the following statement \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) is equivalent to \lnot p with the use of Theorem 2.1.1.

So

\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv

\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q) by De Morgan's law.

\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q) by the Double negative law

\equiv \lnot p \land (q \lor \lnot q) by the Distributive law

\equiv \lnot p \land t by the Negation law

\equiv \lnot p by Universal bound law

Therefore \lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p

4 0
3 years ago
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