Answer: 299 m/s
Step-by-step explanation:
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.
v(t) = 6t^2 + 5
Now input 7 in for t to find the velocity.
v(7) = 6(7)^2 + 5
v(7) = 299 m/s
Answer:
y =
- 8
Step-by-step explanation:
given slope m = 
point (5, -2) for (x1, y1)
equation for point slope form
y - y1 = m(x- x1)
y - (-2) =
(x -5)
y + 2 =
x - 6, simplify
y =
- 8,
further you can multiply by 5 to get rid of fraction
5y = 6x - 40
Answer:
m = 6 7/8 or 55/8.
Step-by-step explanation:
6= m - 7/8
6 + 7/8 = m - 7/8 + 7/8
m = 6 7/8 or 55/8.
Answer:
r³ + 15r² - 10r - 4
Step-by-step explanation:
First, note you can remove the brackets, in this case they contribute nothing at all.
Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.
Finally, order them from greatest power of r to smallest power of r.
That's all!
Answer:
ab
Step-by-step explanation:
When all of the variables are the same in a problem, think of them as the same term. They can be added and subtracted just as you would add and subtract normal numbers.
For example if I have 5 bananas on a table and take away 3 bananas. I only have two bananas left (2b). It's the same when there are variables!
Subtract 9 from 3:
-6ab+7ab
Add -6 to 7:
ab
Your final answer is ab!