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Lina20 [59]
3 years ago
6

Solve the inequality algebraically. Write the solution in interval notation. |9x + 10| < 15

Mathematics
1 answer:
viva [34]3 years ago
5 0

The given inequality is

| 9x+ 10 |

First we need to remove the absolute sign , and when we do so , we will get a compound inequality, that is

-15< 9x+10 < 15

To solve for x, first we need to get rid of 10. and for that, we have to do subtraction

-15-10

Now we need to get rid of 9, and for that, we do division

\frac{-25}{9}< x< \frac{5}{9}

So the required solution is

( \frac{-25}{9} , \frac{5}{9})

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You and your friends find a rope that hangs down 15 m from a high tree branch right at the edge of a river. You find that you ca
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Answer:

Vertical angle=9.5°

Time to reach maximum height = 1.24seconds

Step-by-step explanation:

The maximum distance x is reached when rope swings to a maximum height, maximum height is gotten from the equation KE= 1/2MU^2 = MgH = MgL= Mgl(1- cos theta.

Where theta is the vertical angle, U=2m/s and L= 15m

2gl -2glcostheta=U^2

2gl U^2=2gl cos theta

But theta= Acos(1- U^2)/2gl

Acos(1-/(2×9.8×15)

Theta =9.5°

Maximum height li given by

Lsintheta

But X= UxT

T=X/UX= Lsintheta/U = 15sin9.5 /2 =1.24seconds

6 0
3 years ago
A student bought a truck with a down payment of 4000 and monthly payments of $250 for four years. What was the total cost of the
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4000+250(12)(4)

Down Payment plus the price per month, multiplied by the years. The total cost should be $16000.
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3 years ago
22 divided by 4/5 <br> please help me every time i do this it isn’t right
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Answer:

what form is the question?

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3 years ago
A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the c
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8 0
3 years ago
Read 2 more answers
What is 24 percent of 94
Sphinxa [80]

Answer:

22.56

Step-by-step explanation:

1. We assume, that the number 94 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 94 is 100%, so we can write it down as 94=100%.

4. We know, that x is 24% of the output value, so we can write it down as x=24%.

5. Now we have two simple equations:

1) 94=100%

2) x=24%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

94/x=100%/24%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 24% of 94

94/x=100/24

(94/x)*x=(100/24)*x       - we multiply both sides of the equation by x

94=4.1666666666667*x       - we divide both sides of the equation by (4.1666666666667) to get x

94/4.1666666666667=x

22.56=x

x=22.56

3 0
4 years ago
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