Since 4 does not equal 14, this answer is no solution.
Advice : use cy math.com on your computer
or photo math on your phone
Convert 30% to a decimal by dividing by 100 = 0.30
Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.
50-15 = $35, the sale price of the helmet.
For the sales tax, again, convert to a decimal by dividing by 100 = 0.06
35 x 0.06 = 2.10, the amount of sales tax
$35 + $2.10 = $37.10, total cost with tax
Answer: C. (2, -4)
Step-by-step explanation:
Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.
Answer:
See below.
Step-by-step explanation:
First, notice that this is a composition of functions. For instance, let's let 
and 
. Then, the given equation is essentially 
. Thus, we can use the chain rule.
Recall the chain rule: ![\frac{d}{dx}[f(g(x))]=f'(g(x))\cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29%5Ccdot%20g%27%28x%29)
. So, let's find the derivative of each function:
We can use the Power Rule here:
Now:
Again, use the Power Rule and Sum Rule
Now, we can put them together:
