Answer:
= 10 percent decrease
Step-by-step explanation:
Percent decrease = (original - new)/original * 100 percent
The original price was 20 and the new price is 18
= (20-18)/20 * 100 percent
=2/20 * 100 percent
= 1/10 * 100 percent
= 10 percent decrease
Answer:
g(x) is shifted 1 unit to the right and 5 units up.
Step-by-step explanation:
f(x) =,
x --------> (original function)
(x - 1) = [x - (+1)]------> shifted 1 unit in the positive x direction, i.e 1 unit to right
(x - 1) + 5 ----------> shifted 5 units in the positive y direction, i.e 5 units up.
combining all the steps.
g(x) is shifted 1 unit to the right and 5 units up.
The answer is,
A. Enlargement
This is because the scale factor is greater than 1.
Answer:
$1,337.91
Step-by-step explanation:
Hello, my dear friend, I am sure the question you are intending should be corrected as follows:
For two weeks, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame?
If this is the case, then see the operation for the transactions below:
1,644.5−190-45-7.5-30-5.59-7.2-21.3=1,337.91
Please note that Deposits are positive in your account while written checks and debit card charges are negative.
The equation for the line of best fit can be obtained as follows, using the least square method (for more info visit http://hotmath.com/hotmath_help/topics/line-of-best-fit.html ):
mean of X = 1/6
mean of Y = 2/3
slope, m = 704/1121 = 0.6
Computing the y-intercept using the formula:
b = mean of Y - m (mean of X) = 2/3 - (704/1121)(1/6)
b = 0.562 = 0.6
Therefore, the equation of the line of best fit, given the standard relation:
y = mx + b
y = 0.6x + 0.6