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nalin [4]
4 years ago
9

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

Mathematics
2 answers:
jok3333 [9.3K]4 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]4 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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assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
melomori [17]

Given:

x and y are both differentiable functions of t.

4x^2+3y^3=28

x=-1\text{ and }\dfrac{dy}{dt}=8

To find:

The value of \dfrac{dx}{dt}.

Solution:

We have,

4x^2+3y^3=28       ...(i)

At x=-1,

4(-1)^2+3y^3=28

4+3y^3=28

3y^3=28-4

3y^3=24

Divide both sides by 3.

y^3=8

Taking cube root on both sides.

y=2

So, y=2 at x=-1.

Differentiate (i) with respect to t.

4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0

Putting x=-1, y=2 and \dfrac{dy}{dt}=8, we get

4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0

-8\dfrac{dx}{dt}+9(4)(8)=0

-8(\dfrac{dx}{dt}-9(4))=0

Divide both sides by -8.

\dfrac{dx}{dt}-36=0

\dfrac{dx}{dt}=36

Therefore, the value of 4x^2+3y^3=28 is 36.

6 0
3 years ago
Multiply (8 x 10^2) • (2.5 x 10^2)
spin [16.1K]

the answer is 200000 in simplified form and in scientific form its 2 times 10^5


7 0
4 years ago
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What are the roots of the equation y=x^2 -5x-24
NikAS [45]
Factor
(x-8)(x+3)

Check:
-8+3=-5
-8*3=-24

Use ZPP
x-8=0
x=8

x+3=0
x=-3

Final answer: x=-3, x=8
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3 years ago
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Answer:

x + 17 = 25

Step-by-step explanation:

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3 years ago
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A rectangle has vertices A(2,6), b(2,9), c(7,9), d(7,6). what is the perimeter of the rectangle?
Yuri [45]

Answer

The Perimeter is 20.

Step-by-step explanation:

side AB=3

side BC=7

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side DA=7

6 0
4 years ago
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