Answer: 500$
Step-by-step explanation: 150 is 70% off the ORIGINAL price, so 150 is actually 30% off. Divide everything by 3 and you get 50$ = 10%. Multiple 50 by 10 and you get 500, your answer.
If Y is 8, we solve by subtracting 8 on both sides,
0 = 6x
Divide by 6,
0 = x
x is equal to 0
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:

The cost function is:

And the average cost function is:

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:

Multiplying by x:

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:


Swapping sides and changing the sign:

Dividing by 41:

The least number of items to produce is 41
Answer:
The inverse is x-8
Step-by-step explanation:
g(x) = x+8
y = x+8
To find the inverse, exchange x and y
x = y+8
Solve for y
Subtract 8 from each side
x-8 = y+8-8
x-8 = y
The inverse is x-8
The volume of a cone is

where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.