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o-na [289]
3 years ago
9

Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

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nasty-shy [4]

Answer:

18x

Step-by-step explanation:

get the x by itself then it is 2+4=6 so that is 6x and then do 3+x=3x and 6x×3x= 18x

7 0
3 years ago
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0.
Rom4ik [11]
Please:  Use "^" to denote exponentiation:  <span>2x^2 + 8x - 12 = 0

Reduce this by div. every term by 2:             </span><span>x^2 + 4x - 6 = 0

Here a=1, b=4 and c = -6.  Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:

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(x+2)^2 = 10.  Take the sqrt of both sides:   x+2 = plus or minus sqrt(10).

Finally, solve for x:  x = -2 plus or minus sqrt(10).



8 0
3 years ago
Matt and Cat win £120 on the lottery and decide to share the winning ratio 1:2
8_murik_8 [283]
The way to work out how much each person gets is to find out how much one part is worth.

We can do this by adding the ratio (1:2) which gives us 3.

Divide £120 by 3 parts and you get £40 as one part. 

Because the ratio is one part : two parts, Matt gets £40 and Cat gets £80. 
5 0
3 years ago
Read 2 more answers
Find the value.<br> 9x+6 when x=-2/3
OLEGan [10]

Answer:

<h2>0</h2>

Step-by-step explanation:

Given,

-  \frac{2}{3}

Now, let's find the value of 9x + 6

9x + 6

plug the value of X

= 9 \times  (-  \frac{2}{3} ) + 6

Multiplying a positive and negative equals a negative

( + ) \times ( - ) = ( - )

=  - 9 \times  \frac{2}{3}  + 6

Reduce the number with Greatest Common Factor 3

=  - 3 \times 2 + 6

Multiply the numbers

=  - 6 + 6

The sum of two opposites equals 0

= 0

Hope this helps..

best regards!!

7 0
3 years ago
Help please me ! 10 pts and
andre [41]
The answer is -6
So you need to drop the word sum on -6
6 0
3 years ago
Read 2 more answers
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