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Allushta [10]
2 years ago
9

Simplify the expression using positive indices

Mathematics
1 answer:
Katen [24]2 years ago
4 0
Simplify the expression:

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Simplify the expression 9m-7m+2m
tatuchka [14]
Simplify step-by-step.

9m−7m+2m

=9m+−7m+2m

Combine Like Terms:

=9m+−7m+2m

=(9m+−7m+2m)

=4m

4 0
3 years ago
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

To Find :

The height of the dock.

Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

(2h+3)^2=h^2+12^2\\\\4h^2+9h+9=h^2+144\\\\h^2+4h-45=0\\\\(h-5)(h+9)=0

Now , h = 5 or h = -9 .

Now , height cannot be negative .

So , height of the dock is 5 ft .

Hence , this is the required solution .

8 0
3 years ago
A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year. Write
horrorfan [7]
7.5% is 3/40. The equation is y=15250(1-3/40)ˣ=15250(37/40)ˣ.
When x=8 this becomes $8173.42.
3 0
3 years ago
Find the domain and range of the graph
Rainbow [258]

Answer:

Domain: [-2,1)

Range: [0,4]

Step-by-step explanation:

<u>Domain</u>

We can see that the piecewise function starts at x=-2, which is included, and ends at x=1, which isn't included. To represent the x-values that lie in between these two endpoints, you would write [-2,1). Brackets show that one endpoint is included while parentheses show that one endpoint isn't included.

<u>Range</u>

Following this logic, the range has its y-values go from 0 to 4 with both endpoints included if you were to trace the function. Thus, your range would be [0,4].

3 0
2 years ago
2/3 divided by 5 I Need answers
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

7.5

4 0
2 years ago
Read 2 more answers
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