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asambeis [7]
3 years ago
13

Solve the absolute value inequality|2x+3|≥|x−7|

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:x\geq 7

Step-by-step explanation:

Given

|2x+3|\geq |x-7|

here we will divide x interval in 3 case

case x

let us take x=-2

|-1| is not greater than |-9|

thus x is not possible

Case     \frac{-3}{2}

Take x=0

|3| is less than |-7|

thus for  \frac{-3}{2} equality is not satisfied

Case 3   x\geq 7

take x=7

|17| is greater than |0|

Thus forx\geq 7 is the required region

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x=cos-¹(14/49)=73.4

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2 years ago
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle
Dovator [93]

\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

Therefore the angle of depression from the lifeguard to the boy is 24°.

8 0
2 years ago
there are 16 sixth graders and 20 seventh graders in the robotics club. Wants to organize the club members into equal size each
lina2011 [118]

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7 0
3 years ago
Create an item with a selling price over $100 a discount of 25% and tax is 9%
Lana71 [14]

First, convert the 25% to a real mathematical number. For percents, this is always done by dividing the 25% by 100%, or 25% / 100% = 0.250.

Second, find out what 25% of $100 is. This is the amount of the sale discount. This is always found by mulitplying 0.250 by the item's cost $100, like this:

0.250 x $100 = $25.00.

So for this sale, you'll save $25.00 on this item.

This means, the cost of the item to you is

$100 - $25.00 = $75.00.

Alternatively, you can think about it this way. The item is 25% off. This means you'll pay 75.000% of the total cost (100% - 25% = 75.000%).

Now what's 75.000% of the total cost?

0.750 x $100 = $75.00.

Just like the result above, the sale price on the item is $75.00.

Hope this helps you on your assignment! :)

5 0
2 years ago
How might snakes running out of food affect other organisms such as hawks? please help
marissa [1.9K]

Answer:

The population of Hawks and other species would likely start to edge off.

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