Answer:
512
Step-by-step explanation:
To find the volume of a rectangular prism you multiply the length × width × height
= 8 × 8 ×8
= 512
20y=-5x+10
y=-1/4x+1/2
y-3=-1/4(x-8)
y-3=-1/4x+2
d. y = -1/4x + 5
Answer:
See Below.
Step-by-step explanation:
We want to show that the function:
Increases for all values of <em>x</em>.
A function is increasing whenever its derivative is positive.
So, find the derivative of our function:
![\displaystyle f'(x) = \frac{d}{dx}\left[e^x - e^{-x}\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5Be%5Ex%20-%20e%5E%7B-x%7D%5Cright%5D)
Differentiate:
Simplify:
Since eˣ is always greater than zero and e⁻ˣ is also always greater than zero, f'(x) is always positive. Hence, the original function increases for all values of <em>x.</em>
Answer:
6x + 4y ≤ 50
x + y ≥ 10
Step-by-step explanation:
$6 is the cost of stuffed animals $4 is the cost of toy trucks and the her maximum budget is $50 it would be 6x+4y is less then or equal to 50 and there is AT LEAST 10 people so the amounts which are x and y would be equal to or greater than 10.
The correct answer is ten times as much.
When we look at decimals, each place closer to the decimal point is ten times greater. The first 6 is in the hundreths place and the second one is one spot further away. As a result, the first is 10 times as much as the second.
