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oee [108]
2 years ago
7

|x-1|+2<4 solving for x

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

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90 points please help!!!!!!!!
just olya [345]
To model this situation, we are going to use the exponential function: f(t)=P(1+ \frac{r}{n} )^{nt}
where
P is the initial number of cars
r is the growing rate in decimal form 
n is number of tames the growing rate is increasing per year
t is the time in years

To convert the growing rate to decimal form, we are going to divide the rate by 100%
r= \frac{12}{100}
r=0.12
Since the growing rate is increasing quarterly, n=4. We also know that the initial number of cars is 920, so P=920. Lets replace all those values in our function:
f(t)=920(1+ \frac{0.12}{4} )^{4t}
f(t)=920(1+0.03)^{4t}
f(t)=900(1.03)^{4t}

We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years                                 is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
3 0
3 years ago
Read 2 more answers
The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height
Burka [1]

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

6 0
3 years ago
Write an explicit formula for an,the Nth term of the sequence 4,12,36
Rudik [331]

Answer:

3^{n}+3^{n-1}

Step-by-step explanation:

Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be x^n + yn

Because the sequence multiplies by 3 each time, The base number in that equation would be 3^n +yn.

So 3^n of the equation would be:
3, 9, 27.

Compare the 2 equations:
4, 12, 36

3, 9 ,27

The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: 3^{n-1}.

Combine these 2 equations together and you get:

3^{n}+3^{n-1}.

6 0
2 years ago
A group of 8 children and 10 adults ate going to a movie. Child tickets cost $2 and adults tickets cost $4. How much will the mo
motikmotik

Answer:

56$

Step-by-step explanation:

8*2=16

10*4=40

16+40=56

5 0
3 years ago
Which cube is a unit cube?
jeka57 [31]

Answer:

D.) A cube that is 1 inch long, 1 inch wide, and 1 inch high

Step-by-step explanation:

A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.

⭐ Answered by Kakashi ʕ •㉨• ʔ⭐

⭐ Brainliest would be appreciated, ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

8 0
2 years ago
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