Answer:
Option b
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function 
x> 0 for all real numbers.
Then the equation:
has two cases
if 
(i)
if 
(ii)
We solve the case (i)
We solve the case (ii)
Then the solution is:
or
Answer: The car travels 97.5 miles in 1.5 hour.
Step-by-step explanation:
Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation 
, where represents the distance, in miles, that the car travels at this speed in<em> t</em> hours.
To find : Number of miles car travel in 1.5 hour.
Simply put t= 1.5 in the given expression , we get
65(1.5)= 97.5
That means , the car travels 97.5 miles in 1.5 hour.
Answer:
-8, -7
Step-by-step explanation:
f(x)=x^2+15x+56
0 =x^2+15x+56
What two numbers multiply together to make 56 and add together to 15
7*8 = 56
7+8=15
0 = (x+8) (x+7)
Then use the zero product property
x+8 =0 x+7 =0
x+8-8 =0-8 x+7-7 =0-7
x=-8 x=-7
By definition, the volume of a cylinder is given by:
V = π * r ^ 2 * h
Where,
r: cylinder radius
h: height
Clearing h we have:
h = (V) / (π * r ^ 2)
Substituting values:
h = (36π) / (π * 3 ^ 2)
h = (36π) / (9π)
h = (36π) / (9π)
h = 4 cm
Answer:
The height of the liquid will be in the new cylinder about:
h = 4 cm
Answer:
32 pennies to each friend and 314 pennies remaining
Step-by-step explanation:
For the first step, we need to divide 128 by 4 to get the amount of pennies she gave to each friend: 128/4 = 32
For the second step, we need to subtract 128 from 442 to find out how many pennies she has left: 442-128 = 314
Hope this helps!
