To find the unit price, divide the total price by the total weight.
4.60 / 2 = 2.30
So, the unit price is $2.30 per liter of milk.
Best of Luck!
Answer:
The answer to your question is c = ![\sqrt{2593}](https://tex.z-dn.net/?f=%5Csqrt%7B2593%7D)
Step-by-step explanation:
Data
right triangle
short leg = 17 cm
long leg = 48 cm
hypotenuse = ?
Process
-Use the Pythagorean theorem to find the answer
c² = a² + b²
c = hypotenuse
a = short leg = 17 cm
b = long leg = 48 cm
- Substitution
c² = 17² + 48²
-Simplification
c² = 289 + 2304
c² = 2593
-Result
c = ![\sqrt{2593}](https://tex.z-dn.net/?f=%5Csqrt%7B2593%7D)
Answer:
add 64 to both sides
Step-by-step explanation:
x = -26.3
Answer:
For
the function f(x) is continuous on
.
Step-by-step explanation:
We have the following function
![f(x) = \left\{ \begin{array}{ll} cx^2+5x & \quad x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cleft%5C%7B%20%20%20%20%20%20%20%20%5Cbegin%7Barray%7D%7Bll%7D%20%20%20%20%20%20%20%20%20%20%20%20cx%5E2%2B5x%20%26%20%5Cquad%20x%20%3C6%20%5C%5C%20%20%20%20%20%20%20%20%20%20%20%20x%5E3-cx%20%26%20%5Cquad%20x%20%5Cgeq%206%20%20%20%20%20%20%20%20%5Cend%7Barray%7D%20%20%20%20%5Cright.)
For the function f(x) to be continuous on
it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that
,
which holds if and only if
![c\left(6\right)^2+5\left(6\right)=\left(6\right)^2-c\left(6\right)\\36c+30=36-6c\\42c=6](https://tex.z-dn.net/?f=c%5Cleft%286%5Cright%29%5E2%2B5%5Cleft%286%5Cright%29%3D%5Cleft%286%5Cright%29%5E2-c%5Cleft%286%5Cright%29%5C%5C36c%2B30%3D36-6c%5C%5C42c%3D6)
namely if
.