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Lilit [14]
3 years ago
7

A(x)=|x|+3/2 b(x)=-|x| c(x)=2|x|

Mathematics
1 answer:
NikAS [45]3 years ago
7 0

Answer:

a No solutions.

b x=0

c x=0

step-by-step explanation:

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WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:
stepladder [879]

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4

This is false equality, so this equation has no solutions.

B.

x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}

This equation has the unique solution.

D.

3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3

This equation has the unique solution.

8 0
3 years ago
Please help <br><br> questions 12,14,16
notka56 [123]

Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

       -3=3(4)+b

      simplify: b= -15

14) (-4,2): -4 is x, 2 is y

      2=-1/2(-4)+b

        simplify: b=0

16) (9,12): 9 is x, 12 is y

       12=13(9)+b

       simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

3 0
3 years ago
X+2&gt;7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

5 0
2 years ago
During a sale, every item in a store is 80% of its regular price. If the regular price of a T-shirt is $10, what is its sale pri
kipiarov [429]

Answer:

Step-by-step explanation:

If the regular price of a T-shirt is 10 USD and the store sells off its wares at 80% of its regular price, then the price at which the store would still the aforementioned T-shirt would be 80% of its 10 USD price.

80% of $10 =

0.8 * 10 = $8

This means that the price at which the T-shirt will go for, due to the ongoing sales will be $8.

Also, being asked to find the 10% and 20% of $10 is just as simple

10% of $10 =

0.1 * 10 = $1

20% of $10 =

0.2 * 10 = $2

Therefore, the 10% and 20% of $10 is $1 and $2 respectively.

3 0
3 years ago
6v-6+2(3v+3)=-2(v+9)
ANEK [815]
I’m pretty sure it’s 18, idk search it on google and it will tell u the answer
7 0
3 years ago
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