Answer:
f(5x+3) = 10x + 9
Step-by-step explanation:
f(x) = 2x + 3
f(5x+3) = ??
Given this information, we know that x = 5x + 3. Therefore, to solve the new equation we need to plug 5x + 3 into the original equation
f(5x+3) = 2(5x+3) + 3
Now we distribute the 2
f(5x+3) = 10x + 6 + 3
Finally, combine like terms
f(5x+3) = 10x + 9
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
Answer: 1300 pounds
Step-by-step explanation:
2000 x 0.65= 1300
