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3 years ago

Solve. | 3x + 1 | = 2

2 answers:

8 0

Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!

Snezhnost [94]3 years ago

3 0

Hey there!

The absolute value makes negative numbers positive. If they are already positive, then leave it. So it would be 3x+1=2. You need to isolate x. So subtract one from each side to get 3x=1. Divide each side by 3. You get x=1/3. Since x is by itself, you have the answer of x=1/3.

I hope this helps!

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In which direction will this parabola open y=-37(x-82)^2-16

sergij07 [2.7K]

Since the 37 is negative the parabola will open downward.
The coefficient on the outside of the ^2 tells you if it opens up or down. If it's positive it opens upward and if it's negative it opens downward.
For the parabola to open sideways it would be a form of x = y^2

4 0

3 years ago

twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only

Karolina [17]

donuts and cream puffs were 45 & 4 respectively !

Step-by-step explanation:

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

twice the number of donuts was only 6 less than 24 times the number of cream puffs

According to this statement equation is :

⇒ $2x=24y-6$

⇒ $x=12y-3$ ................(1)

10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ $10y= x-5$

⇒ $x=10y+5$ ................(2)

Equation (1) & (2) :

⇒ $12y-3=10y+5$

⇒ $2y=8$

⇒ $y=4$

Putting $y=4$ in $x=12y-3$ :

⇒ $x = 12(4)-3$

⇒ $x = 45$

Therefore , donuts and cream puffs were 45 & 4 respectively !

7 0

3 years ago

PLEASE HELP WILL NAME BRAINLEST

Schach [20]

Answer:

All of them are parallel

Step-by-step explanation:

This is due to the all of the 90 degree angle which would make the rest of the line a would be another 90 degree angle Which are found on every line. This would make all of the lines parallel because it is a total of 180 degrees.

7 0

2 years ago

Solve the inequality 2x - 3 < x 2 ≤ 3x 5. show your work

Digiron [165]

2x − 3 < x + 2 
∴ x − 3 < 2 
∴ x < 5 

x + 2 ≤ 3x + 5 
∴ 2 ≤ 2x + 5 
∴ -3 ≤ 2x 
∴ -3/2 ≤ x 

-3/2 ≤ x < 5

8 0

3 years ago

Read 2 more answers

Help please if anybody knows this help!!

slega [8]

Answer:

A and D

Step-by-step explanation:

A rounds to 0.2

D rounds to 5.26

8 0

3 years ago