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Marizza181 [45]
3 years ago
15

find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. |-2x-3|≤ 3

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

Answer:

Inequality form: -3 \leq x \leq 0

Interval Notation: [-3, 0]

Step-by-step explanation:

Isolate the variable by dividing each side by the factors.

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My brother is currently three times as old as me, but in five years, my brother
wolverine [178]

Answer: Your brother is 15 years old right now.

Step-by-step explanation:

Let be "m" your currently age and "b" your brother's currently age.

Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:

b=3m

In five years your age will be:

 m+5

And your brother's age will be:

b+5

Then, if in five years, your  brother will be twice as old as you, you can set up the second equation:

b+5=2(m+5)

Then, the System of equations is:

\left \{ {{b=3m} \atop {b+5=2(m+5)}} \right.

 Apply the Substitution method and substitute the first equation into the second one and solve for "m":

3m+5=2(m+5)\\\\3m+5=2m+10\\\\m=10-5\\\\m=5

Substitute the value of "m" into the first equation and evaluate in order to find "b":

b=3(5)\\\\b=15

4 0
3 years ago
The expression sin 50 cos 40 + cos 50 sin 40 is equivalent to
enyata [817]
Sin (a+b) = sin a. cos b + cos a. sin b

a= 50° and b=40°, then

sin(50+40) = sin 50° . cos 40° + cos 50° . sin 40°

sin(50+40) = sin 90° = 1 and

sin 50° . cos 40° + cos 50° . sin 40° = 1
8 0
3 years ago
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