Answer:
f(3)=21
Step-by-step explanation:
f(1)=3
f(n)=2f(n-1)+3
n=2
f(2)=2f(2-1)+3
f(2)=2f(1)+3
f(2)=2*3+3
f(2)=6+3
f(2)=9
n=3
f(3)=2f(3-1)+3
f(3)=2f(2)+3
f(3)=2*9+3
f(3)=18+3
f(3)=21
Answer:
-1.5x + 70
Step-by-step explanation:
Total money he takes while going to the fair = $90
Money he spends to enter the fair = $5
Money he spends on food =$15
Total he spent now is given by
Now, he spend on rides at the fair i.e. 1.50 per ride .
Let the number of rides be x
So, cost incurred on rides = 1.5x
So, the spending money can be expressed as
Now, remaining money left to him after spending on x rides too is
Let f(x) denotes the function used to determine the money he has left over after rides .
So it becomes
f(x) = 70 - 1.50x
f (x) = -1.50x +70
113.1in³ should be tge volume
Answer:
Step-by-step explanation:
<h3>Find the area of rectangle</h3>
<h3>Find the area of triangle</h3>
<h3>Area of the figure is</h3>
The answer is 45°
By determining the angles of triangle ACB (A=30°, B=45°, C=105° (total of 180°)) and knowing that angle 1 correlates to angle 4 ((1)°=(4)°), we can find angle 1, which is 45°, equal to angle 4.