Answer:
m=7
Step-by-step explanation:
15m−13m=69.96−55.96
Step 1: Simplify both sides of the equation.
15m−13m=69.96−55.96
15m+−13m=69.96+−55.96
(15m+−13m)=(69.96+−55.96)(Combine Like Terms)
2m=14
2m=14
Step 2: Divide both sides by 2.
2m
2
=
14
2
Answer:
x = -34.8
Step-by-step explanation:
<h2><u>solve the equation</u></h2>
2(x-3)
= 2x - 6
7(x + 24 )
= 7x + 168
put the equation together
2x - 6 = 7x + 168
now make x subject of formula:
2x - 7x = 168 +6
-5x = 174
x = 174/ -5
<h3><u>x = -34.8 </u></h3>
Answer: it’s 8y-20
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
le x be 2 then
f(x) = -2-2 =-4
g(x)= 2square +1-2 =3
to find:(f×g)(3)
(-4×3)(3)
=-36
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!