Zeroes:
We must solve
To do so, we define the auxiliary variable 
. The equation becomes
The quadratic formula yields the solutions
Substituting back gives
So, the zeroes are -6, -3, 3, 6.
Turning points:
Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.
We have
If we set the derivative to be zero, we have
So, the derivative is zero if x=0 or
H=2f/m+1
subtract one from both sides
h-1=2f/m
multiply m to both sides
m*h-1=2f
divide 2 both sides
mh-1/2=F
(the whole left side of the equation is divided by 2 i just cant do it on the computer)
Distance÷time
440÷8= 55
Therefore he needs to drive at the speed of 55 miles/hour
Answer:
91 possible outcomes
Step-by-step explanation:
As the teacher selects a brunette followed by a blonde, we just need to find the number of possibilities of choosing a brunnette and the number of possibilities of choosing a blonde:
number of possibilities of choosing a brunette: 13
number of possibilities of choosing a blonde: 7
Then, the number of possible outcomes is the product of these number of possibilities:
13 * 7 = 91 possible outcomes
Answer:
f(-4)= -55
Step-by-step explanation:
We want to find f(x), or y, when x is equal to -4.
Therefore, we can substitute -4 in for x in the function.
f(x) = -2x^2 + 4x - 7
Substitute -4 in for x
f(-4) = -2(-4^2) + 4(-4) - 7
Evaluate the exponent
f(-4)=-2(16)+4(-4)-7
Multiply -2 and 16
f(-4)= -32+4(-4)-7
Multiply 4 and -4
f(-4)=-32-16-7
Subtract
f(-4)=-55
