Domain is the x-coordinate and range is the y - coordinate
+ <span>use t for the number of hours the meeting room is rented
+ </span><span>college charges a reservation fee of $49 and an additional fee of $5.40 per hour.So we have 49+ 5.40t
+ </span>the film club wants to spend less than $81.40 on renting the meeting room, and we need:<span>49+ 5.40t< 81.40
or 5.40t < 81.40- 49
and 5.40t< 32.40
t< 32.40: 5.40= 5.629
So </span><span>the possible amounts of time for which they could rent the meeting room 5.6 hours</span>
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 4, so the parallel line's slope is also 4.
y = 4x + b
To find "b", plug in the point (-3,5) into the equation.
y = 4x + b
5 = 4(-3) + b
5 = -12 + b Add 12 on both sides
17 = b
y = 4x + 17
<span>A(t) = −(t − 8)2 + 535
You would like to find the maximum of this function:</span> −(t − 8)^2<span>This part is always negative or zero as a number squared cannot be negative and you multiply by -1: Thus the maximum of this part MAX:</span>−(t − 8)^2=0
<span>The max will be when t=8 and its value is 535
</span>
1 feet = 12 inches
x feet = 23456 inches
Cross multiply
1(23456) = 12x
x = <span>1954.66666667 feet</span>
