First we identify the percent's as decimals
1%=0.01 64%=0.64
Then we multiply our decimals by 300
0.01 x 300 = 3 0.64 x 300 = 192
If you notice, 64 x 3 is equal to 192
64 x 3 = 192
So the answers are 3 and 192
(Hope this helps!)
F(x)=a(x-h)^2+k
vertex is (h,k)
f(x)=1(x-6)^2-31
f(x)=1(x-(6))^2+(-31)
h=6
k=-31
vertex=(6,-31)
Use the Pythagorean theorem.
If One leg is a, the other is b, and the hypotenuse is c, then
a² + b² = c²
There ya go
1. Find the first six terms of the sequence.a1 = 4, an = an-1 + 8
For this case, the first thing you should do is replace the values given one by one.
We have then:
a1 = 4
a2 = a1 + 8 = 4 + 8 = 12
a3 = a2 + 8 = 12 + 8 = 20
a4 = a3 + 8 = 20 + 8 = 28
a5 = a4 + 8 = 28 + 8 = 36
a6 = a5 + 8 = 36 + 8 = 44
Answer:
C) 4, 12, 20, 28, 36, 44
2. Find the first six terms of the sequence.
a1 = -8, an = 5 an-1
For this case, the first thing you should do is replace the values given one by one.
We have then:
a1 = -8,
a2 = 5 ^ (- 8) = -40
a3 = 5 ^ (- 40) = -200
a4 = 5 ^ (- 200) = -1000
a5 = 5 ^ (- 1000) = -5000
a6 = 5 ^ (- 5000) = -25000
answer:
A) -8, -40, -200, -1000, -5000, -25,000
3. Find an equation for the nth term of the arithmetic sequence.
8, 6, 4, 2, ...
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
8, 6, 4, 2,
The sequence is:
an = 8 + -2 (n - 1)
a1 = 8 + -2 (1 - 1) = 8
a2 = 8 + -2 (2 - 1) = 6
Answer:
An equation for the nth term of the arithmetic sequence is
D) an = 8 + -2 (n - 1)
4. Find an equation for the nth term of the arithmetic sequence.
-17, -12, -7, -2, ...
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
-17, -12, -7, -2,
The sequence is:
an = -17 + 5 (n - 1)
a1 = -17 + 5 (1 - 1) = - 17
a2 = -17 + 5 (2 - 1) = - 12
Answer:
Answer:
An equation for the nth term of the arithmetic sequence is
C) an = -17 + 5 (n - 1)
5. Find an equation for the nth term of the arithmetic sequence.
a19 = -58, a21 = -164
What you must do for this case is to verify which sequence is best suited to the problem.
For this case we have:
a19 = -58, a21 = -164
The sequence is:
an = 896 - 53 (n - 1)
a19 = 896 - 53 (19 - 1) = - 58
a21 = 896 - 53 (21 - 1) = - 164
Answer:
An equation for the nth term of the arithmetic sequence is
B) an = 896 - 53 (n - 1)
6. A certain species of tree grows an average of 0.5 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 200 centimeters tall.
For this case, what you should do is to write the equation step by step to find the correct result.
We have then:
the measurements begin when the tree is 200 centimeters tall
200
tree grows an average of 0.5 cm per week
200 + 0.5n
Where
n: number of weeks.
answer:
An equation for the sequence that represents the weekly height of this tree in centimeters is
an = 200 + 0.5n
