A reflection about the x axis, about y=0, is the mapping (x',y')=(x,-y) so
A dilation of 2 is the mapping (x'',y'')=(2x', 2y')
So
We can rewrite that without the primes and combine the powers of 2.
Let's graph these and see if we're close,
Plot y= (1/4)^x, y= - (1/4)^{x}, y = - 2^{1-x}
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
Answer: my childhood Memories
We're going on a trip in our favorite rocket ship
Zooming through the sky, Little Einsteins
the black/hood verse
"We're going on to the club in our favorite range rover
Zooming through the hood, Little gangsta's"
Hi There!
Answer:
$18.25 per hour.
Step-by-step explanation:
365 / 20 = 18.25 (hourly pay)
1500 * 0.16 = 240 (comission)
Hope This Helps :)
Answer: p = 75 + 250
Equation of the situation, in slope-intercept form is given as .
Where,
b = y-intercept
m = slope
n = number of computers sold
p = total cost
All we need to find is the value of m and b.
Using two pairs from the table of values, (4, 550) and (6, 700):
Substitute n = 4, p = 550, and m = 75 in , and find the value of b.
Subtract 300 from each side
b = 250
Substitute m = 75, and b = 250 in
✅Equation that represents the situation would be:
