Answer: −4 + 4 − 4
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
<u>Step 1:</u><u> </u><u><em>Collect like terms.</em></u>
( − 5) + (6 − 2) + (−4 + 2 − 2)
<u>Step 2: </u><u><em>Simplify.</em></u>
−4 + 4 − 4
~I hope I helped you! :)~
Answer:
To create function h, function f was translated 2 units to the right, translated 4 units down and reflected across the y-axis.
Step-by-step explanation:
Since f(x) = x^3 is transformed to h(x) = -(x+2)^3-4, by
1. Adding 2 to x in x³ to give f'(x) = f(x + 2) = (x + 2)³.
2. We now translate f(x + 2) down by subtracting 4 from f(x + 2) to give
f''(x) = f'(x) - 4 = f(x +2) - 4 = (x + 2)³ - 4.
3. We now reflect f'(x) across the y-axis by multiplying (x + 2)³ by -1 to get
h(x) = -(x + 2)³ - 4.
The pattern is 8 because 17+8=25 and 25+8=33 and 33+8=41
Answer:
$2,725
Step-by-step explanation:
The maximum number of days is 7.
The cost per days is $375.
The cost for 7 days is 7 * $375 = $2,625.
The owner applies a $100 fee for cleaning which must be added to the cost of the days.
$2,625 + $100 = $2,725
The greatest value for the range is the greatest cost there can be which is $2,725.
The vertex of a quadratic occurs when the velocity, dy/dx=0.
dy/dx=2x+8, so dy/dx=0 only when:
2x+8=0
2x=-8
x=-4, now you find the y coordinate which is:
y(-4)=(-4)^2+8(-4)+12
y(-4)=16-32+12
y(-4)=-4 so the vertex is at the point:
(-4,-4)