Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If
, the function is translated "k" units up
If
, the function is translated "k" units down.
If
, the function is translated "k" units left.
If
, the function is translated "k" units right.
In this case you have the following function:

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

Finally, simplifying, you get that this is:

Simple interest is where 3% of the original value is added on each year
goal number = $102
original number = $680
3% of $680 can be found by getting 1% and multiplying by 3
100% = original number = $680
100% / 100 = 1% so $680 / 100 = $6.80 = 1%
3% = $6.80 * 3 = $20.40
so each year the money rises by $20.40
to find out how many years it would take to get to $102:
$102 / $20.40 = 5 years
Answer:
Step-by-step explanation:
Cannot give you the number because we are not given the diagram.
However, it will be exactly the same as the measure of angle R in the original triangle PQR.
Rotation and dilation do not change angles.
The discount price will be the same either way. (The commutative property)
20 percent of $89.00= 17.80$
$89.00 - ($5.00 x $17.80) = $66.20
$89.00 - ($17.80 x $5.00) = $66.20
Answer: The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.
Step-by-step explanation:
A dilation can be described in coordinate notation as (x,y)→(2x,2y)