$75= Cassidy's goal
c= number of cupcakes
a= $6 already raised
EQUATION:
75<$3c + a
substitute $6 in for a
75< $3c + 6
subtract 6 from both sides
69<3c
divide both sides by 3
23<c
Cassidy needs to sell at least 23 cupcakes to reach her goal of $75.
Answer:
FALSE: Cassidy will need to sell any number of cupcakes greater than 12 to reach her goal.
TRUE: Cassidy will need to sell any number of cupcakes greater than 23 to reach her goal.
Hope this helps! :)
Answer:
90/[10+(3-3-4)]=90/[10+(-10)]
90/(10-10)=90/0=0
Step-by-step explanation:
Hope this helps
Answer:
C
Step-by-step explanation:
Remember that if s(t) is a position function then:
is the velocity function and
is the acceleration function.
So, to find the acceleration, we need to solve for the second derivative of our original function. Our original function is:

So, let's take the first derivative first with respect to t:
![\frac{d}{dt}[s(t)]=\frac{d}{dt}[t^2+4t+10]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5Bs%28t%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%2B4t%2B10%5D)
Expand on the right:
![s'(t)=\frac{d}{dt}[t^2]+\frac{d}{dt}[4t]+\frac{d}{dt}[10]](https://tex.z-dn.net/?f=s%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bt%5E2%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B4t%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B10%5D)
Use the power rule. Remember that the derivative of a constant is 0. So, our derivative is:

This is also our velocity function.
To find acceleration, we want to second derivative. So, let's take the derivative of both sides again:
![\frac{d}{dt}[s'(t)]=\frac{d}{dt}[2t+4]](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%5Bs%27%28t%29%5D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B2t%2B4%5D)
Again, expand the right:
![s''(t)=\frac{d}{dt}[2t]+\frac{d}{dt}[4]](https://tex.z-dn.net/?f=s%27%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5B2t%5D%2B%5Cfrac%7Bd%7D%7Bdt%7D%5B4%5D)
Power rule. This yields:

So, our answer is C.
And we're done!
Answer:
A and B
Step-by-step explanation:
A is correct because the three terms are x², 5<em>yz,</em> and -8.
B is 100% correct I guarantee it.
C is incorrect because ² is not a coefficient.
D is incorrect because there are three factors in that multiplication term: 5, <em>y</em>, and <em>z.</em>
I Think The answer is a or b I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you