Answer:
4800
Step-by-step explanation:
I attached a picture of the work.
We need to made a function that will help us solve this
f(x)=dx; d = $ per hour, x = # of hours
step 1) identify d (in this case, the money made per hour) which = 10
f(x)=10x
step 2) identify x (# of hours total) which = 480
f(x)=10(480)
step 3) solve the equation
f(x)=4800
independent variable:
the number of hours
dependant variable:
the amount of money made after 12 weeks
<span>the sum of the first and three times the second is 54.
x + 3y = 54
3y = 54 - x
y= 54 /3 - x / 3 = 18 -x /3
</span>xy = x (18 -x /3) = 18x - x^2 / 3 = - 1/3 x ^ 2 + 18 x
<span>
</span><span>since a<0, it is concave downward, and the vertex is the maximum value. That vertex occurs at x= - b /2a = (-18) / (-2/3) = 12
</span>
<span>The first number is x=12.
The second is y = </span><span>18 -x /3 = 18- 12/ 3 = 18 - 4 = 14 </span>
Answer:
it is d
Step-by-step explanation:
It is option A. A vertical compression means that
the function is only a "fraction" of its original height, hence the
fractional coefficient. <span>
REMEMBER, movement along the x-axis is always the OPPOSITE of
what you think. So left = + and right = -
<span>So (x-6) actually means a shift 6 units to the right. (NOT
left like you would naturally think) </span></span>
As the picture highlights, the opposite sides have the same lengths. The perimeter is the sum of all lengths, so we have
Plug the required value for the perimeter and expand the right hand side:
Simplify the right hand side:
Add 36 to both sides:
Divide both sides by 12:
Now that we know the value for s, let's deduce the lengths of the sides:
