Answer:
a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.
Step-by-step explanation:
determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).
the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.
Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).
This is good only for a(1) = 10 and n = 2, 3, ....
Hope this helps you
Answer:
Step-by-step explanation:
4(n + 10) = 34
4n + 40 = 34
If you need the rest...
4n = -6
n = -6/4
3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
(When dividing by a negative, reverse the direction of the inequality side, reverse it EVERY time you divide by a negative)
ANSWER: -3 < x
ANSWER
C. 58°
EXPLANATION
The sum of the interior angles of a triangle is 180°.
We sum all the three angles to obtain,
.
We group like terms to get,
.
Simplify,
.
Combine like terms to get,
.
Simplify,
.
Divide both sides by 32 to get,
.
We substitute the value of x into the expression for
.
This implies that,
.
.
.
The correct answer is C
Answer:
40x + 30y ≤ 6,550
Step-by-step explanation:
Given:
Cost of each apple bushels = $40
Cost of each corn bushels = $30
Total budget = $6,550
Find:
Inequality
Computation:
Assume;
Total number of apple bushels = x
Total number of corn bushels = y
So,
40x + 30y ≤ 6,550