Answer:
Step-by-step explanation:
We would have to convert the standard equation into slope-intercept form.
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<h3><u>Converting the equation into Slope-Intercept Form:</u></h3>
<u />
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<h3><u>Identifying the Slope and Y-Intercept:</u></h3>
<em>General slope-intercept form is: </em>
<em></em>
<u />
In the equation 
, '-2' would be the slope since it is in 'm's place, and '3' would be the y-intercept since it's in 'b's place.
<em>Therefore:</em>
<em></em>
<em></em>
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<em>Hope this helps!</em>
Yes, I believe the points are indeed correct.
75/10 is 7.5 as a fraction
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula 
, here a=4, b= -6 and c= -225.
⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
Answer:
12
Step-by-step explanation:
Given:
On every 3 DVDs she rents, 1 DVD is received for free
Rent of each DVD = $3
Total amount paid = $114
Now,
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 
or
The total number of DVDs she took on rent = 38
also,
For every 3 DVDs she gets 1 Free DVD
thus,
For every 1 DVD she gets 
free DVD
therefore,
For 38 DVD she gets 
free DVD
or
she gets 12.67 DVDs free
Since,
the DVDs cannot be given in fraction
Hence she will get 12 free DVDs
