Answer:
7/2 and 3
Step-by-step explanation:
using quadratic formula
{-(-13) +- √(-13)^2 - 4(2)(21) } /2(2)
-(-13)+1 / 4 = 7/2
-(-13)-1 / 4 = 3
The first and the third one because they equal each other
2x+2=2(x+1) and 3(x-1)=3x-3
Answer: 38 meter per second
Step-by-step explanation:
Given: The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

where -38 is the rate of change of function .
Since speed is the rate of change of position with respect to time , thus
Speed =-38 meter per second which shows decrease in distance with respect to time.
At t=0 second, d=220 meters
At t=1 second ,
meters
Distance traveled in 1 second = 220-182=38
Now, Rachel's speed=
Rachel's speed=
=38 meter per second
-8n+7=31
-8n+7-7=31-7
-8n=31-7
-8n=24
-8n÷(-8)=24÷(-8)
n=24÷(-8)
n=-24÷8
n=-3
Answer:
a. Geometric
b. 20, 10 and 5
c. Tn = 20(0.5)^n-1
d. 0.00004 ft
Step-by-step explanation:
a. The sequence is geometric
The reason for this is that we will be multiplying each term by a particular value
If it was arithmetic, we would have been adding instead. But since it is geometric, we shall multiply terms by a particular number
b. 1st term is
20
second term
1/2 * 20 = 10
Third term
1/2 * 10 = 5
c. Explicit formula
Mathematically, that will be;
Tn = ar^n-1
Where r is 1/2 or 0.5
Tn = a(0.5)^n-1
where Tn is the present term and n is the present number of the term
d. 20th term
T20 = 20 * 0.5^19
T20 = 0.00004 ft