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defon
3 years ago
15

Can you help me solve this

Mathematics
1 answer:
Ugo [173]3 years ago
8 0

       

Step-by-step explanation:

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{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
The smaller of two consecutive even integers is two more than half of the greater. find the two integers.
lana [24]
Greetings and Happy Holidays! 

Let x represent the smaller, even integer.
Let (x+2) represent the larger, even integer.

We can create an algebraic equation to solve for the numbers:
x=\frac{(x+2)}{2}+2

Simplify:
x=\frac{1}{2}x+1+2

x=\frac{1}{2}x+3

Add \frac{-1}{2}x to both sides:
(x)+(\frac{-1}{2}x)=(\frac{1}{2}x+3)+(\frac{-1}{2}x)

(\frac{1}{2}x)=3

Divide both sides by \frac{1}{2}x
\frac{\frac{1}{2}x}{ \frac{1}{2}}=\frac{3}{\frac{1}{2}}

x=\frac{3}{1}(2)

x=\frac{6}{1}

The Answer Is:
\boxed{x=6}
and
x+2=6
\boxed{x=8}

The two consecutive even integers are 6 and 8.

I hope this helped!
-Benjamin
8 0
3 years ago
Could somebody please help me??
solniwko [45]

Answer:

She didn't make a mistake

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The following graph represents dog-grooming prices at “Clean Your Paws” dog salon.
Goryan [66]

Answer:

$105

Step-by-step explanation:

I took the test

5 0
4 years ago
Read 2 more answers
Your paycheck this week is $241. You put the $114 in a savings account that pays an interest
antiseptic1488 [7]

Answer:

$122.9

Step-by-step explanation:

Given data

Principal= $114

Rate= 3.9%

Time= 2 years

The amount in the account is given as

A=P(1+rt)

substitute

A=114(1+0.039*2)

A=114(1+0.078)

A=114(1.078)

A=$122.9  

5 0
3 years ago
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