Answer:
6.74 s
Step-by-step explanation:
y = ½ at² + vt + h
Given a = -32, v = 80, h = 188:
y = ½ (-32) t² + (80) t + (188)
y = -16t² + 80t + 188
When y = 0:
0 = -16t² + 80t + 188
0 = 4t² − 20t − 47
Solve with quadratic formula:
t = [ -(-20) ± √((-20)² − 4(4)(-47)) ] / 2(4)
t = [ 20 ± √(400 + 752) ] / 8
t = (20 ± √1152) / 8
t > 0, so:
t = (20 + √1152) / 8
t ≈ 6.74
Answer:
The value of x is 
Step-by-step explanation:
we have
------> equation A
In this problem we have

Substitute the value of g(x) in the equation A and solve for x

Divide by
both sides


Adds
both sides


Answer:
-2
Step-by-step explanation:
Use the slope formula when given two points
Slope formula = 
( the x and y values are determined by the given points )
Given the points ( 0 , 5 ) and ( 1 , 3 )
Plug in the x and y values of the given points into the formula
( remember y values on top x values on bottom )

Hence, the answer is D
You're correct, the answer is C.
Given any function of the form

, then the derivative of y with respect to x (

) is written as:

In which

is any constant, this is called the power rule for differentiation.
For this example we have

, first lets get rid of the quotient and write the expression in the form

:

Now we can directly apply the rule stated at the beginning (in which

):

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).