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nalin [4]
3 years ago
9

Solve the inequality graph the solution 2|x+1/3|<9

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
4 0

Answer:

-\frac{29}{6}

Step-by-step explanation:

2|x+1/3|<9

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

Divide both sides by 2 in order to get absolute function alone

|x+\frac{1}{3} |

If |x|=a  then -a<x<a

|x+\frac{1}{3}

-\frac{9}{2}

We need to get x alone

So we subtract 1/3 on both sides

-\frac{9}{2}-\frac{1}{3}

Make the denominator same and simplify the fraction

-\frac{29}{6}

shtirl [24]3 years ago
3 0
-29/6<x<25/6
I'm sorry I can't graph because Brainly won't take my Img. 
But I will tell you that it is a closed circle. 
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8wsquared2<br><img src="https://tex.z-dn.net/?f=8w%20%7B2%20%7D%5E%7B2%7D%20%20-%2018w" id="TexFormula1" title="8w {2 }^{2} - 1
balandron [24]

{\text{Here, we have the algebraic expression}} \hfill \\ 8w \times {2^2} - 18w \hfill \\ {\text{For simplifying the expression, first we solve the exponent part,}} \hfill \\ {\text{and then the resultant will be multiply with the monomial }}18w \hfill \\ 8w \times {2^2} - 18w \hfill \\ = 8 \times w \times {2^2} - 18w \hfill \\= \left( {8 \times {2^2}} \right) \times w - 18w\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left[ {\because \,{\text{By associative law }}a \times \left( {b \times c} \right) = \left( {a \times b} \right) \times c} \right] \hfill \\   = \left( {8 \times 4} \right) \times w - 18w \hfill \\   = 32 \times w - 18w \hfill \\= 32w - 18w \hfill \\= 14w \hfill \\

4 0
3 years ago
A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli
pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

6 0
3 years ago
The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.
gizmo_the_mogwai [7]
n+n+1=37\\&#10;2n=36\\&#10;\boxed{n=18}\\&#10;\boxed{n+1=19}
5 0
3 years ago
Read 2 more answers
When f(n) = 34, what is the value of f(n-6)?
Mashutka [201]

Answer:

28

Step-by-step explanation:

f(n)=34, f(n-6)=34-6

=28

3 0
2 years ago
4(x + 8), x = 10 <br> 5(15p - 2), p = 3<br> (solve for both)
REY [17]

Answer:

1. 4(10+8) 40+32=72

2. 5(15*3-2) 5(45-2) 225-10=215

Step-by-step explanation:

4 0
3 years ago
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