Function is 
.
<u>Step-by-step explanation:</u>
We have a function notation for the transformation that would change f(x) to have a vertical compression by a factor of 
, reflection over the x axis, up 6 and right 2.
<u>Step 1:</u>
Vertical compression by a factor , this means decreasing value of function by a factor of . Function becomes 
.
<u>Step 2:</u>
Reflection over x-axis means rotating f(x) by 180° over origin . Function now is 
.
<u>Step 3:</u>
Up 6 , means value of function is increased by 6 , Function now is 
.
<u>Step 4:</u>
Right 2, means shifting function to 2 units on right side i,e, on x-axis.
∴Function finally becomes, 
which is .
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
B. Quadrant 2 you can tell because point J is in the upper left quadrant.
Answer:
JML=142 degrees
Step-by-step explanation:
This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.
A. d=50t B. 50,100,150,200,250 C. 50 days
