we are given a function
First translation:
The graph of function is vertically stretched by a factor of 7
Whenever we vertically stretch any function by 'a' units
so, we can write it as
Here, it is vertically stretch by 7
so, we get
Second translation:
Whenever we reflect any function about x-axis
we multiply y-value by -1
so, we can write it as
Here , it is reflected in the x-axis
so, we can multiply by -1 to y-value
we get
.............Answer
Answer:
Odd
Step-by-step explanation:
The function is odd because cubic functions are always odd.
Answer:
a) The percentage of adults who smoke are decreasing with time. b) the equation that best described this data is y=-0.3364x+22.809 (R^2=0.859) in which y is the percentage of adults who smoke and x the number of years. c) the percentage of adults who smoke will be 19.8% and it will not meet the expected 12%, it would take 32 years to reach that value.
Step-by-step explanation:
The data can be plotted to which years is the independent variable and percentage of adults who smoke is the dependent variable. The linear trendline that described this data has a negative slope which indicates that the percentage of adults is decreasing with time. In order to determine if the OSH target is being met, the x is replaced by 9 which is the goal period of nine years. The y is 19% which is higher than the 12% goal. In order to know the period it will take to the reach the goal of 12%, the y is replaced by 12 in the curve and the x is the answer in years = 32 years.
3500(1 + .03/12)^12(5)
3500(1.0025)^60
The answer is:
$4,065.66 or $4,066
Hope this helps :)
Triangle ABE is isosceles / Given
AB congruent to AE / Def isosceles
angle ABE congruent to angle AEB / Property of isosceles triangles
angle ABD congruent to angle AEC / Subst different name for same angles
BD congruent to EC / Given
triange ABD congruent to triange AEC / Side Angle Side