Answer:
22 minutes
Step-by-step explanation:
First you take away the original amount away from the remaining amount.
$25 - $22.36 = $2.64
Then you take that number and divide it by the cents per minute.
$2.64 ÷ 12 = 0.22
Then that's your answer!
Her call lasted 22 minutes.
The answer is 2 cubed so B
Answer:
(4, 1)
Step-by-step explanation:
8 units to the right = x + 8, so -4 + 8 = 4
4 units up = y + 4, so -3 + 4 = 1
Steps:
1) determine the domain
2) determine the extreme limits of the function
3) determine critical points (where the derivative is zero)
4) determine the intercepts with the axis
5) do a table
6) put the data on a system of coordinates
7) graph: join the points with the best smooth curve
Solution:
1) domain
The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0
=> x > 3 <-------- domain
2) extreme limits of the function
Limit log (x - 3) when x → ∞ = ∞
Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote
3) critical points
dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)
4) determine the intercepts with the axis
x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4
y-intercept: The function never intercepts the y-axis because x cannot not be 0.
5) do a table
x y = log (x - 3)
limit x → 3+ - ∞
3.000000001 log (3.000000001 -3) = -9
3.0001 log (3.0001 - 3) = - 4
3.1 log (3.1 - 3) = - 1
4 log (4 - 3) = 0
13 log (13 - 3) = 1
103 log (103 - 3) = 10
lim x → ∞ ∞
Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
Answer:
<em>2x - 1</em>
Step-by-step explanation:
<u>Equivalent Algebraic Expressions
</u>
One algebraic expression can be written in several ways by applying known rules and theorems that modify expressions without changing its final value.
The expression:
1 + 2(x - 1)
Can be modified by applying the following operations:
Multiplying the constant by the contents in parentheses:
1 + 2x - 2
Collecting like terms:
-1 + 2x
Or, equivalently:
2x - 1