Answer:
1
Step-by-step explanation:
In each set, there is a difference of 1 between the two x's.
Simplifying
x + 6 = 3x + -14
Reorder the terms:
6 + x = 3x + -14
Reorder the terms:
6 + x = -14 + 3x
Solving
6 + x = -14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
6 + x + -3x = -14 + 3x + -3x
Combine like terms: x + -3x = -2x
6 + -2x = -14 + 3x + -3x
Combine like terms: 3x + -3x = 0
6 + -2x = -14 + 0
6 + -2x = -14
Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6
Combine like terms: -14 + -6 = -20
-2x = -20
Divide each side by '-2'.
x = 10
Simplifying
x = 10
Answer:
Step-by-step explanation:
The recursive rule is given by;
a = r .an-1 where n is the number of terms.
Given the sequence: -64, -16, -4 , -1, ....
This sequence is a geometric sequence with common ratio (r) = 1/4
Here, first term a1 = -64
Since,
\frac{-16}{-64} = \frac{1}{4}
\frac{-4}{-16} = \frac{1}{4} and so on....
The recursive rule for this sequence is;
an = 1/4*an-1
21 + 20 = 43
Total is 123, so divide by 43.
123/43 = 2.86 rounded to 3.
(females) 20 x 3 = 60 female lions
The correct answer is 7/9
